-(x - 13) = 10(x + 9)

Answers

Answer 1
Subtract 10x from both sides:

- x + 13 = 10x + 19

- x + 13 - 10x = 10x + 90 - 10x

- 11x + 13 = 10x + 90 - 10x

- 11x + 13 = 90
—————————————————-

Step 2: subtract 13 from both sides:

- 11x + 13 = 90

- 11x + 13 - 13 = 90 - 13

- 11x = 90 - 13

- 11x = 77
———————————————————

Step 3: divide both sides of the equation by -11:

- 11x = 77

- 11x/-11 = 77/-11

x = 77/-11

x = - 7
————————————————————
So the answer is x = -7

Hope this helped oh and can I have brainliest




Related Questions

Which is the equivalent of 145.12° written in DMS form?
A. 145° 7' 2"
B. 145° 12' 0"
C. 145° 2'36"
D. 145° 7' 12"

Answers

Answer:

the answer is

B. 145° 12' 0"

Find the mean absolute deviation (MAD) of the data set of 0.4, 0.2, 0.4, 0.6

Answers

Answer:

Assuming data is from population, 0.1

Step-by-step explanation:

Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new
bike. At least how many hours does he need to work?

Answers

Answer:

it will take Johnny 7 hours

Step-by-step explanation:

It was easy, i divided 105 by 15 and got 7

Have a wonderful day :)

Answer:

7 hours

Step-by-step explanation:

15 * x = 105

---          ---

15           7

x=7

When you are solving a compound inequality, how can you express the solution?
Please give your rationale.

Answers

Answer:

When solving a compound inequality, you can express the solution in two different ways: using a union or intersection.

Using a union:

A union represents the solutions that belong to either one inequality or the other, or both. You can express a union using the symbol "or," or by writing the solutions for each inequality separately and combining them using a "union" symbol (∪). For example, if you have the compound inequality "x > 2 or x < -3," you can express the solution as "x ∈ (-3, 2) ∪ (-∞, -3) ∪ (2, ∞)."

Using an intersection:

An intersection represents the solutions that belong to both inequalities. You can express an intersection using the symbol "and," or by writing the solutions for each inequality separately and combining them using an "intersection" symbol (∩). For example, if you have the compound inequality "x > 2 and x < -3," you can express the solution as "x ∈ (-3, 2) ∩ (-∞, -3) ∩ (2, ∞)."

Which method you use to express the solution will depend on the specific inequalities and the type of solutions you are looking for. It is important to carefully consider the inequality symbols (>, <, ≥, ≤) and the use of "and" or "or" in order to determine the correct solution.

When solving a compound inequality, the solution can be expressed in one of two ways: as an interval or as a union of intervals.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

An interval is a set of all real numbers between two given numbers, and is written in the form (a, b) or [a, b], where a and b are real numbers, and a < b. If a and b are included in the interval, then the interval is written as [a, b]; if a and b are not included in the interval, then the interval is written as (a, b).

A union of intervals is a combination of two or more intervals, and is written in the form (a, b) ∪ (c, d) or [a, b] ∪ [c, d], where a, b, c, and d are real numbers, and a < b and c < d.

When solving a compound inequality, it is important to first simplify the inequality by combining like terms, isolating the variable on one side of the inequality, and combining any separate inequalities into a single inequality. Then, the solution can be found by graphing the inequality on a number line, and shading the portion of the number line that represents the solution.

Once the solution is found the solution can be expressed either as an interval or as a union of intervals depending on the inequality. For example, if the inequality is x>1 and x<3, then the solution would be expressed as (1,3) and this is an example of an interval. If it's x>1 and x≥3 then the solution would be expressed as (1,3] U [3,∞) and this is an example of union of intervals.

Learn more about inequalities here:

brainly.com/question/20383699

#SPJ2

Evaluate 3a for a = 5

Answers

Answer:

Hello There!!

Step-by-step explanation:

The answer is 15 as 3a=3×a so 3×5=15.

hope this helps,have a great day!!

~Pinky~

Evaluate the following expression 12xy=2,y=4

Answers

Answer:

1/24

Step-by-step explanation:

Solve for y =4

48x=2

Find the cost of 12 items if the cost function is C(x) = 2x +12

Answers

Answer:

$36

Step-by-step explanation:

we need to find the cost of 12 items, and the function of determining the cost is C(x)=2x+12, where x is the number of items (the input value of the function)

we know that there are 12 items, so in this function, x=12

substitute x as 12 in the function; the x in C(x) also gets substituted as 12, as 12 is the input value and the value of C(x) is the output

C(12)=2(12)+12

multiply

C(12)=24+12

add

C(12)=36

that means, for 12 items, the cost will be $36

Find the distance between the points
(-5/2, 9/4) and(-1/2,-3/4)

Give the exact distance and an approximate distance rounded to at least 2 decimal places.
Make sure to fully simplify any radicals in first answer

Answers

Answer:

Step-by-step explanation:

distance = [tex]\sqrt{(-5/2+1/2)^{2} +(9/4+3/4)^{2} }=\sqrt{13}[/tex]=3.61

What is the name for a polygon with 4 sides

Answers

Answer: A. Quadrilateral

Step-by-step explanation:

The name for a polygon with 4 sides is a quadrilateral. Quadrilateral is a two-dimensional shape with four straight sides and four angles. The most common type of quadrilateral is the rectangle, which has four right angles. Other types of quadrilaterals include squares, parallelograms, trapezoids, and rhombuses.

Answer:

quadrilateral!!

Step-by-step explanation:

look at the beginning of the word, quad. Quad means 4 and is referring to a 4 sided figure.

Jasmine claims that the two triangles are congruent since the Side-Angle-Side (SAS) triangle congruence criterion ensures that a sequence of transformations will carry one triangle onto the other.
Which of the following statements best describes Jasmine’s claim?

1. The claim is correct since a translation carries one triangle onto the other.
2. The claim is correct since SAS is an acceptable triangle congruence criterion.
3. The claim is incorrect since SAS is not an acceptable triangle congruence criterion.
4. The claim is incorrect since the triangles do not meet the SAS triangle congruence criterion.

Image of triangles:

Answers

4. The claim is incorrect since the triangles do not meet the SAS triangle congruence criterion

The claim is not correct as both the triangles do not meet the SAS triangle congruence criterion.

What is SAS Conguency ?

If any two sides and angle included between the sides of one triangle are equivalent to the corresponding two sides and the angle between the sides of the second triangle, then the two triangles are said to be congruent by SAS rule.

As from the definition above we can understand that for the triangles to be congruent the sides and the angle included between them should be same.

In the given triangles

The two sides of both the triangle has same length but the angle 30 degree is not the angle included for both the traingles

Therfore we can say that the triangles are not congruent with SAS congruency.

To know more about SAS Congruency

https://brainly.com/question/7888063

#SPJ2

A company employing 10,000 workers offers deluxe medical coverage (D), standard medical coverage (S) and economy medical coverage (E) to its employees. Of the employees, 30% have D, 60% have 5 and 10% have E. From past experience, the probability that an employee with D, will submit no claims during next year is 0.1. The corresponding probabilities for employees with S and E are 0.4 and 0.7 respectively. If an employee is selected at random;

a) What is the probability that the selected employee has standard coverage and will submit no

claim during next year? b) What is the probability that the selected employee will submit no claim during next year?

c) If the selected employee submits no claims during the next year, what is the probability that the employee has standard medical coverage (S)?
please give full answer

Answers

To answer these questions, we can use the information given about the proportions of employees with each type of coverage and the probability of no claims for each type of coverage.

a) The probability that the selected employee has standard coverage is 60%, and the probability that they will submit no claims is 0.4. Therefore, the probability that the selected employee has standard coverage and will submit no claims is 0.4 * 0.6 = 0.24.

b) To find the probability that the selected employee will submit no claims, we can add up the probabilities for each type of coverage. The probability that the selected employee will submit no claims is 0.1 * 0.3 + 0.4 * 0.6 + 0.7 * 0.1 = 0.33.

c) To find the probability that the selected employee has standard coverage given that they have no claims, we can use Bayes' Theorem. The probability that the selected employee has standard coverage given that they have no claims is:

P(S|N) = P(N|S) * P(S) / P(N)

Plugging in the values from the problem, we get:

P(S|N) = 0.4 * 0.6 / 0.33 = 0.73

Therefore, the probability that the selected employee has standard coverage given that they have no claims is 0.73.

Find, rounded to the nearest hundredth, the diagonal of a rectangle whose sides are 6 and 11.

WHAT IS THE ANSWER. I NEED IT ASAP

Answers

Answer:

The length of the diagonal is 12.53

Step-by-step explanation:

Since we have a rectangle, the diagonal is the hypotenuse of a right triangle. So we can use Pythagorean Theorem.

a^2 + b^2 = c^2

We know the two legs are 6 and 11, so we can find the hypotenuse (which is the diagonal) see image.

See image.

X = ?°
please help :)​

Answers

Answer:

x=17 degrees

Step-by-step explanation:

We know that a right angle is equal to 90 degrees. Therefore, two angles between a right angle have to equal 90. Therefore, 73+x=90. Isolate x and get x=90-73. x=17. Therefore, x=17 degrees.

If this helps please mark as brainliest

X=17 degrees hope this helped you :)))

Ian is taking a true/false quiz that has four questions on it. The correct sequence of answers
is T, T, F, T. Ian has not studied and yet guesses all answers correctly- He decides he wants
to determine how likely this is to happen using a simulation. He decides to use a fair coin to
do the simulation.
Describe the design of a simulation that would allow Ian to determine how likely it would
be to guess all answers correctly on this quiz.

Answers

The design of a simulation that would allow Ian to determine how likely it would

be to guess all answers correctly on this quiz can be Illustrated through a coin.

How to design the simulation?

Ian can design a simulation to determine the likelihood of guessing all answers correctly on the quiz by using a fair coin. He can flip the coin four times, with each flip representing a guess on the quiz. If the coin lands heads up, he marks it as a true answer, and if it lands tails up, he marks it as a false answer.

He can repeat this process a large number of times (e.g. 1000) and count the number of times that the sequence T, T, F, T is generated. The proportion of times that this sequence is generated out of the total number of simulations will be an estimate of the probability of guessing all answers correctly on the quiz by chance.

Learn more about simulation on:

https://brainly.com/question/15892457

#SPJ1

what is the generalised from of 85​

Answers

Answer:

8 × 10 + 5 × 1. is the correct answer .STAY BRAINLY

1. Five-sixths of the students in a math class passed the first test. If there are 36 students in the class, how many did not pass the test? *

Answers

Answer:

(1/6) of the students did not pass.

Ans: (1/6)30 = 5 of the students did not pass

To solve this question, we need to first figure out, in fractional form, the number of students who did not pass. The problem tells us that 5/6 of the students passed. Therefore, we know that 1/6 of the students did not pass, because 5/6 + 1/6 = 1. So, all we need to do is multiply 1/6 by the total number of students:

1/6 * 36 = 6

So, 6 students did not pass.

If 5/6 passed, then 1/6 did not pass. So, 1/6 of 36 students
1/6 x 36=
Cross cancel, 6 goes into 6, 1 time and 6 goes into 36, 6 times. 1 x 6 = 6
6 students did not pass.

If 4 people share a 1/2 pound chocolate bar, how much chocolate will each person receive?

Answers

Answer:

1/8 pound per person

Step-by-step explanation:

In a school containing 360 children, 198 are girls. What percent of all children are girls? What percent of the children are boys? The number of girls is what percent of the number of boys? The number of boys is what percent of the number of girls?
the number of girls is _____% of the number of boys.

Answers

Answer:

1st question :55%

2nd ":122.22%

3rd ":81.82%

Evaluate the indefinite integral.
integar x4/1 + x^10 dx

Answers

Answer:

[tex]\int\ {\frac{x^4}{1 + x^{10}}} \, dx = \frac{1}{5}( \arctan(x^5)) + c[/tex]

Step-by-step explanation:

Given

[tex]\int\ {\frac{x^4}{1 + x^{10}}} \, dx[/tex]

Required

Integrate

We have:

[tex]\int\ {\frac{x^4}{1 + x^{10}}} \, dx[/tex]

Let

[tex]u = x^5[/tex]

Differentiate

[tex]\frac{du}{dx} = 5x^4[/tex]

Make dx the subject

[tex]dx = \frac{du}{5x^4}[/tex]

So, we have:

[tex]\int\ {\frac{x^4}{1 + x^{10}}} \, dx[/tex]

[tex]\int\ {\frac{x^4}{1 + x^{10}}} \, \frac{du}{5x^4}[/tex]

[tex]\frac{1}{5} \int\ {\frac{1}{1 + x^{10}}} \, du[/tex]

Express x^(10) as x^(5*2)

[tex]\frac{1}{5} \int\ {\frac{1}{1 + x^{5*2}}} \, du[/tex]

Rewrite as:

[tex]\frac{1}{5} \int\ {\frac{1}{1 + x^{5)^2}}} \, du[/tex]

Recall that: [tex]u = x^5[/tex]

[tex]\frac{1}{5} \int\ {\frac{1}{1 + u^2}}} \, du[/tex]

Integrate

[tex]\frac{1}{5} * \arctan(u) + c[/tex]

Substitute: [tex]u = x^5[/tex]

[tex]\frac{1}{5} * \arctan(x^5) + c[/tex]

Hence:

[tex]\int\ {\frac{x^4}{1 + x^{10}}} \, dx = \frac{1}{5}( \arctan(x^5)) + c[/tex]

a geometry class has a total of 25 students. the number of males is 5 more than the number of females. how many males and how many females are in the class

Answers

Answer:

10 females, 15 males

Step-by-step explanation:

Let the number of females in the class be x. As the number of males is 5 more than the number of females, which is x, the number of males would be shown as x+5.

The number of females plus the number of males equal 25, so we get this equation:

x + (x+5) = 25

x + x + 5 = 25

2x + 5 = 25

2x = 20

x = 10.

So, there are 10 females, and since there are 5 more males than females, there are 10 + 5 = 15 males.

2) Insert the smallest
digit to make the
number divisible by 8
.
1039_​

Answers

Answer:

it would be 10392

Step-by-step explanation:

10392÷8=1299

Answer:

10392

Step-by-step explanation:

10391 ÷ 8 = 1298.875

Not divisible by 8

10392 ÷ 8 = 1299

Divisible by 8

800 miles in 5 hours miles per hour

Answers

To find the speed of an object that went 800 miles in 5 hours, you just need to divide the distance by the time. 800miles/5hours = 160mph
I would say it would be 160 mph

what is the area of 12 1/2 feet long and 11 3/4 feet wide

Answers

now, we're assuming this is some rectangular area, and thus is simply the product of both quantities, let's change all mixed fractions to improper fractions firstly.

[tex]\stackrel{mixed}{12\frac{1}{2}}\implies \cfrac{12\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{25}{2}} ~\hfill \stackrel{mixed}{11\frac{3}{4}} \implies \cfrac{11\cdot 4+3}{4} \implies \stackrel{improper}{\cfrac{47}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{25}{2}\cdot \cfrac{47}{4}\implies \cfrac{1175}{8}\implies 146\frac{7}{8}~ft^2[/tex]

Huilan is 7 years older than Thomas. The sum of their ages is 79. What is Thomas’s age?

Answers

Answer:

To solve this problem, we can set up the following equation:

Huilan's age + Thomas's age = 79

Let H be Huilan's age and T be Thomas's age. We can then rewrite the equation as:

H + T = 79

We are told that Huilan is 7 years older than Thomas, so we can write the following equation:

H = T + 7

Substituting the second equation into the first equation, we get:

(T + 7) + T = 79

Combining like terms, we get:

2T + 7 = 79

Subtracting 7 from both sides, we get:

2T = 72

Dividing both sides by 2, we get:

T = 36

Therefore, Thomas's age is 36 years.

Step-by-step explanation:

Answer:

let Thomas age be a

there fore, hullans age is a+7

(a+7)+a=79

2a=79-7

2a=72

a=36

Please pleaseeeee help me outtt, I need it quickkk will give brainliest

Answers

Answer:

-132

Step-by-step explanation:

Split the summation to make the starting value of  

k equal to 1.

Answer:S6 = - 132

Step-by-step explanation:

Activity: Factor Theorem
Use the Remainder Theorem and Factor Theorem to determine whether the given
binomial is a factor of P(x).
P(x) = 9x³+ 6x - 40 - 2x² + 2x4; binomial: x + 5
the given problem.

Answers

The given polynomial is a factor of P(x) because P(-5)=0.

From the remainder theorem, how do you derive the factor theorem?

The Remainder Theorem states that if a synthetic division of a polynomial by x = a results in a zero remainder, then x = an is a zero of the polynomial (thanks to the Remainder Theorem), and x an is also a factor of the polynomial (courtesy of the Factor Theorem).

How can you tell if P(x) is a factor of X C?

The Factor Theorem states that x - c is only a factor of P(x) when P(c) = 0.

To know more about Remainder Theorem visit:-

brainly.com/question/9160275

#SPJ1

(-3 squared +3) divided by
(10 – 6)

Answers

Answer:

research it many my answer will be wrong

3

Step-by-step explanation:

-3 square is 9, adding 3 you will have 12. 10-6 is 4. so dividing 12 by 4 would give you 3.

Question 5(Multiple Choice Worth 2 points)
(Sample Spaces LC)

A paper bag has seven colored marbles. The marbles are pink, red, green, blue, purple, yellow, and orange. List the sample space when choosing one marble.

A s= (1, 2, 3, 4, 5, 6

B s=(purple, pink, red, blue, green, orange, yellow}

C s=(g. r, b. y. o, p)

D s= (green, blue, yellow, orange, purple, red)

Answers

The sample space when choosing one marble will be B s=(purple, pink, red, blue, green, orange, yellow}

What is sample space?

A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample space may contain a variety of outcomes.

A paper bag has seven colored marbles. The marbles are pink, red, green, blue, purple, yellow, and orange. The sample space when choosing one marble will be all the colors. The correct option is B.

Learn more about sample space on:

https://brainly.com/question/10558496

#SPJ1

The expressions A, B, C, D, and E are left-hand sides of trigonometric identities. The expressions 1, 2, 3, 4, and 5 are right-hand side of identities. Match each of the left-hand sides below with the appropriate right-hand side.

A. tan(x)
B. cos(x)
C. sec(x)csc(x)
D. 1â(cos(x))^2/ cos(x)
E. 2sec(x)

1. sin(x)tan(x)
2. sin(x)sec(x)
3. tan(x)+cot(x)
4. cos(x)/1âsin(x)+1âsin(x)/cos(x)
5. sec(x)âsec(x)(sin(x))2

Answers

Answer:

[tex]A.\ \tan(x) \to 2.\ \sin(x) \sec(x)[/tex]

[tex]B.\ \cos(x) \to 5. \sec(x) - \sec(x)\sin^2(x)[/tex]

[tex]C.\ \sec(x)csc(x) \to 3. \tan(x) + \cot(x)[/tex]

[tex]D. \frac{1 - (cos(x))^2}{cos(x)} \to 1. \sin(x) \tan(x)[/tex]

[tex]E.\ 2\sec(x) \to\ 4.\ \frac{\cos(x)}{1 - \sin(x)} +\frac{1-\sin(x)}{\cos(x)}[/tex]

Step-by-step explanation:

Given

[tex]A.\ \tan(x)[/tex]

[tex]B.\ \cos(x)[/tex]

[tex]C.\ \sec(x)csc(x)[/tex]

[tex]D.\ \frac{1 - (cos(x))^2}{cos(x)}[/tex]

[tex]E.\ 2\sec(x)[/tex]

Required

Match the above with the appropriate identity from

[tex]1.\ \sin(x) \tan(x)[/tex]

[tex]2.\ \sin(x) \sec(x)[/tex]

[tex]3.\ \tan(x) + \cot(x)[/tex]

[tex]4.\ \frac{cos(x)}{1 - sin(x)} + \frac{1 - \sin(x)}{cos(x)}[/tex]

[tex]5.\ \sec(x) - \sec(x)(\sin(x))^2[/tex]

Solving (A):

[tex]A.\ \tan(x)[/tex]

In trigonometry,

[tex]\frac{sin(x)}{\cos(x)} = \tan(x)[/tex]

So, we have:

[tex]\tan(x) = \frac{\sin(x)}{\cos(x)}[/tex]

Split

[tex]\tan(x) = \sin(x) * \frac{1}{\cos(x)}[/tex]

In trigonometry

[tex]\frac{1}{\cos(x)} =sec(x)[/tex]

So, we have:

[tex]\tan(x) = \sin(x) * \sec(x)[/tex]

[tex]\tan(x) = \sin(x) \sec(x)[/tex] --- proved

Solving (b):

[tex]B.\ \cos(x)[/tex]

Multiply by [tex]\frac{\cos(x)}{\cos(x)}[/tex] --- an equivalent of 1

So, we have:

[tex]\cos(x) = \cos(x) * \frac{\cos(x)}{\cos(x)}[/tex]

[tex]\cos(x) = \frac{\cos^2(x)}{\cos(x)}[/tex]

In trigonometry:

[tex]\cos^2(x) = 1 - \sin^2(x)[/tex]

So, we have:

[tex]\cos(x) = \frac{1 - \sin^2(x)}{\cos(x)}[/tex]

Split

[tex]\cos(x) = \frac{1}{\cos(x)} - \frac{\sin^2(x)}{\cos(x)}[/tex]

Rewrite as:

[tex]\cos(x) = \frac{1}{\cos(x)} - \frac{1}{\cos(x)}*\sin^2(x)[/tex]

Express [tex]\frac{1}{\cos(x)}\ as\ \sec(x)[/tex]

[tex]\cos(x) = \sec(x) - \sec(x) * \sin^2(x)[/tex]

[tex]\cos(x) = \sec(x) - \sec(x)\sin^2(x)[/tex] --- proved

Solving (C):

[tex]C.\ \sec(x)csc(x)[/tex]

In trigonometry

[tex]\sec(x)= \frac{1}{\cos(x)}[/tex]

and

[tex]\csc(x)= \frac{1}{\sin(x)}[/tex]

So, we have:

[tex]\sec(x)csc(x) = \frac{1}{\cos(x)}*\frac{1}{\sin(x)}[/tex]

Multiply by [tex]\frac{\cos(x)}{\cos(x)}[/tex] --- an equivalent of 1

[tex]\sec(x)csc(x) = \frac{1}{\cos(x)}*\frac{1}{\sin(x)} * \frac{\cos(x)}{\cos(x)}[/tex]

[tex]\sec(x)csc(x) = \frac{1}{\cos^2(x)}*\frac{\cos(x)}{\sin(x)}[/tex]

Express [tex]\frac{1}{\cos^2(x)}\ as\ \sec^2(x)[/tex] and [tex]\frac{\cos(x)}{\sin(x)}\ as\ \frac{1}{\tan(x)}[/tex]

[tex]\sec(x)csc(x) = \sec^2(x)*\frac{1}{\tan(x)}[/tex]

[tex]\sec(x)csc(x) = \frac{\sec^2(x)}{\tan(x)}[/tex]

In trigonometry:

[tex]tan^2(x) + 1 =\sec^2(x)[/tex]

So, we have:

[tex]\sec(x)csc(x) = \frac{\tan^2(x) + 1}{\tan(x)}[/tex]

Split

[tex]\sec(x)csc(x) = \frac{\tan^2(x)}{\tan(x)} + \frac{1}{\tan(x)}[/tex]

Simplify

[tex]\sec(x)csc(x) = \tan(x) + \cot(x)[/tex]  proved

Solving (D)

[tex]D.\ \frac{1 - (cos(x))^2}{cos(x)}[/tex]

Open bracket

[tex]\frac{1 - (cos(x))^2}{cos(x)} = \frac{1 - cos^2(x)}{cos(x)}[/tex]

[tex]1 - \cos^2(x) = \sin^2(x)[/tex]

So, we have:

[tex]\frac{1 - (cos(x))^2}{cos(x)} = \frac{sin^2(x)}{cos(x)}[/tex]

Split

[tex]\frac{1 - (cos(x))^2}{cos(x)} = \sin(x) * \frac{sin(x)}{cos(x)}[/tex]

[tex]\frac{sin(x)}{\cos(x)} = \tan(x)[/tex]

So, we have:

[tex]\frac{1 - (cos(x))^2}{cos(x)} = \sin(x) * \tan(x)[/tex]

[tex]\frac{1 - (cos(x))^2}{cos(x)} = \sin(x) \tan(x)[/tex] --- proved

Solving (E):

[tex]E.\ 2\sec(x)[/tex]

In trigonometry

[tex]\sec(x)= \frac{1}{\cos(x)}[/tex]

So, we have:

[tex]2\sec(x) = 2 * \frac{1}{\cos(x)}[/tex]

[tex]2\sec(x) = \frac{2}{\cos(x)}[/tex]

Multiply by [tex]\frac{1 - \sin(x)}{1 - \sin(x)}[/tex] --- an equivalent of 1

[tex]2\sec(x) = \frac{2}{\cos(x)} * \frac{1 - \sin(x)}{1 - \sin(x)}[/tex]

[tex]2\sec(x) = \frac{2(1 - \sin(x))}{(1 - \sin(x))\cos(x)}[/tex]

Open bracket

[tex]2\sec(x) = \frac{2 - 2\sin(x)}{(1 - \sin(x))\cos(x)}[/tex]

Express 2 as 1 + 1

[tex]2\sec(x) = \frac{1+1 - 2\sin(x)}{(1 - \sin(x))\cos(x)}[/tex]

Express 1 as [tex]\sin^2(x) + \cos^2(x)[/tex]

[tex]2\sec(x) = \frac{\sin^2(x) + \cos^2(x)+1 - 2\sin(x)}{(1 - \sin(x))\cos(x)}[/tex]

Rewrite as:

[tex]2\sec(x) = \frac{\cos^2(x)+1 - 2\sin(x)+\sin^2(x)}{(1 - \sin(x))\cos(x)}[/tex]

Expand

[tex]2\sec(x) = \frac{\cos^2(x)+1 - \sin(x)- \sin(x)+\sin^2(x)}{(1 - \sin(x))\cos(x)}[/tex]

Factorize

[tex]2\sec(x) = \frac{\cos^2(x)+1(1 - \sin(x))- \sin(x)(1-\sin(x))}{(1 - \sin(x))\cos(x)}[/tex]

Factor out 1 - sin(x)

[tex]2\sec(x) = \frac{\cos^2(x)+(1- \sin(x))(1-\sin(x))}{(1 - \sin(x))\cos(x)}[/tex]

Express as squares

[tex]2\sec(x) = \frac{\cos^2(x)+(1-\sin(x))^2}{(1 - \sin(x))\cos(x)}[/tex]

Split

[tex]2\sec(x) = \frac{\cos^2(x)}{(1 - \sin(x))\cos(x)} +\frac{(1-\sin(x))^2}{(1 - \sin(x))\cos(x)}[/tex]

Cancel out like factors

[tex]2\sec(x) = \frac{\cos(x)}{1 - \sin(x)} +\frac{1-\sin(x)}{\cos(x)}[/tex] --- proved

convert logx8=2 to exponential form​

Answers

Answer:

8 = x²

Step-by-step explanation:

Logarithmic form: logₓ(8) = 2

Exponential form: 8 = x²

Other Questions
6. One light bulb in the kitchenburns out and suddenly severallights go out in the house. Thiswould provide evidence that thebulbs were wired in -series ParallelReverseDifferent circuits Construction A construction company is building a new parking garage and ischarging the following rates: $5000 a month for the first 2 months; $8000 a monthfor the next 4 months; $6000 in total for the last 4 months, when the garage will becompleted. This amount will be paid in a lump sum at the end of the 6th month.Express the cost C (in thousands of dollars) as a function ofthe time t (in months) that the construction company workson the parking garage. The cost of 5.5 pounds of apples is 40.81. What is the constant of proportionally that relate the cost in dollars, y, to the number of pounds of apples, x. SU is a midsegment of QRTIf QR=-5v+96 and SU = 19v-38 than what is the value of X A nurse is performing eye irrigation for a client who has been exposed to smoke and ash. Which action should the nurse take?a. Hold the irrigator 1.25 cm (0.5 in) above the eye.b. Direct the irrigation solution upward toward the upper eyelid.c. Exert pressure on the bony prominences when holding the eyelids open.d. Direct the irrigation from the outer canthus to the inner canthus of the eye. Can someone plz help me asap, thank you?! What is the relative rate of diffusion of CH4 and NO2? Which is a correct expansion of (4x + 1)(2x7 - 2)? A high school statistics class wants to conduct a survey to determine what percentage of students in the school would be willing to pay a fee for participating in after-school activities. Twenty students are randomly selected from each of the freshman. sophomore. junior, and senior classes to complete the survey. This plan is an example of which type of sampling ? a. Clusterb. Convenience c. Simple random d. Stratified random e. Systematic The absolute value of |3| is -3. The relative frequency table below displays the proportion of colors of cars for sale at a dealership.What proportion of cars are yellow?0.040.10.150.4 What is the subject of Romanesque painting? What does log () do in mathematics? active and passive voices activity 1.6: identifying passive verb forms. instruction: read the following magazine article. pay special attention to verbs in the passive voice and underline them. the academy awards are given out every year to recognize outstanding work of movie actors, directors, and others who are part of the movie-making industry. these awards, called oscars, are presented in a formal ceremony in hollywood. several people are nominated in specific categories, such as best movie, best actor, best music, and best costumes. one nominee is chosen to receive an award in each category. when the awards ceremony started in 1929, 15 awards were presented and the ceremony was attended by only 250 people. tickets cost $10, and anyone who could afford a ticket could attend. today about two dozen oscars are presented. tickets are no longer sold to the general public: invitations are sent only to people involved in making the movies and to their guests. today the awards are presented in the 3400-seat kodak theatre in hollywood. until 1941, the winners' names were already known before the ceremony and published in newspapers the night before the ceremony. now the winners' names are placed in sealed envelopes and the envelopes are not opened until the night of the ceremony. since 1953, oscar night has been televised and broadcast all over the world. this show is seen by hundreds of millions of people. viewers watch as their favorite movie stars arrive looking beautiful and hopeful.. activity 1.7. instruction: in your group list down the verbs in passive voice below. 1. 2. - 3. 4. 5. 8.- 7. 9. 10.- 11. 1567 6. 12.- 13.- 14. 3 12 What is the output results of Artificial Neurons, electrical signals, chemical signals, numbers or letters? Taryn is 16 years old in a state where the age of majority is 19. Taryn plans to begin working at a restaurant next week. Her parents are willing to let her use one of their cars, but she wants her own car. If Taryn buys a car for fair market value, would she be able to return the car and get a full refund What is the resistance at 20C of a 2.0-meter length of tungsten wire with a cross-sectional area of 7.9 10^-7meter^2 ___________ was called the __________ when the allies occupied France and the Normandy Beaches. It is about the world war II What is the volume of plastic used to construct the rocket if it is a solid? Round your answer to the nearest cubic inch According to Dyson, what distinguishes cyberspace from physical space?