Please answer this question now

Answer:

Equation of the circle

(x - 0.7)² + (y - 1.3)² = 12.58

Step-by-step explanation:

The formula for the equation of a circle is given as:

(x - a)² + (y - b)² = r²,

where(a, b) is the center of the circle and r = radius of the circle.

a) We are told in the question that the equation of the circle passes through point(2, -2)

Hence,

Substituting 2 for x and -2 for y in the equation of the circle.

(x - a)² + (y - b)² = r²

(2 - a)² +(-2 - b)² = r²

Expanding the bracket

(2 - a) (2 - a) + (-2 - b)(-2 - b) = r²

4 - 2a - 2a +a² +4 +2b +2b +b² = r²

4 - 4a + a² + 4 + 4b + b² = r²

a² + b² -4a + 4b + 4 + 4 = r²

a² + b² -4a + 4b + 8 = r²............Equation 1

We are also told that the equation of the circle also passes through point (3,4) also, where 3 = x and 4 = y

Hence,

Substituting 3 for x and 4 for y in the equation of the circle.

(x - a)² + (y - b)² = r²

(3 - a)² +(4 - b)² = r²

Expanding the bracket

(3 - a) (3 - a) + (4 - b)(4- b) = r²

9 - 3a - 3a +a² +16 -4b -4b +b² = r²

9 -6a + a² + 16 -8b + b² = r²

a² + b² -6a -8b + 9 + 16 = r²

a² + b² -6a -8b + 25 = r²..........Equation 2

The next step would be to subtract Equation 1 from Equation 2

a² + b² -4a + 4b + 8 - (a² + b² -6a -8b + 25) = r² - r²

a² + b² -4a + 4b + 8 - a² - b² +6a +8b - -25= r² - r²

Collecting like terms

a² - a² + b² - b² - 4a + 6a + 4b + 8b +8- 25 = 0

2a + 12b -17 = 0

2a + 12b = 17...........Equation 3

Step 2

We are going to have to find the values of a and b in other to get our equation of the circle.

Since the center of the circle(a, b) lies on x + y = 2

Therefore, we have

a + b = 2

a = 2 - b

2a + 12b = 17 ..........Equation 3

Substituting 2 - b for a in

2(2 - b) + 12b = 17

4 - 2b + 12b = 17

4 + 10b = 17

10b = 17 - 4

10b = 13

b = 13/10

b = 1.3

Substituting 1.3 for b in

a + b = 2

a + 1.3 = 2

a = 2 - 1.3

a = 0.7

hence, a = 0.7, b = 1.3

Step 3

We have to find the value of r using points (2, -2)

(x - a)² + (y - b)² = r²

Where x = 2 and y = -2

(-2 - 0.7)² + (-2 - 1.3)² = r²

(-2.7)² + (-3.3)² = r²

1.69 + 10.89 = r²

r² = 12.58

r = √12.58 = 3.55

Step 4

The formula for the equation of a circle is given as:

(x - a)² + (y - b)² = r²,

where(a, b) is the center of the circle and r = radius of the circle

a = 0.7

b = 1.3

r² = 12.58

Equation of the circle =

(x - 0.7)² + (y - 1.3)² = 12.58

Answer:

b    y = 9sin(36)

Step-by-step explanation:

sin A = opp/hyp

for the 36-deg angle, opp = y, and hyp = 9.

sin 36 = opp/hyp

sin 36 = y/9

y = 9 * sin 36

Answer: b   y = 9sin(36)

Answer:

0.142

Step-by-step explanation:

From the question, we identify the following parameters;

n = 49

p = 82% = 82/100 = 0.82

alpha, α = 1-0.99 = 0.01

Zα/2 = Z_0.005 = 2.575

margin of error = Zα/2 * √( p(1-p)/n)

Margin of error = 2.575 * √(0.82)(1-0.82)/49

Margin of error =0.1416005 which is approximately 0.142

Answer:

The area of the square is 85 units^2

Step-by-step explanation:

Okay, here in this question, we are interested in calculating the area of the unknown square.

Kindly note that, since each of the other shapes are squares too, it means that the length of their sides is simply the square root of their areas.

Thus, the length of the squares are ;

√35 units and √50 units respectively

Now to find the area of the larger square, we employ the use of Pythagoras’ theorem which states that the square of the hypotenuse is equal to the sum of the squares of the two other sides

Let’s call the unknown length X

x^2 = (√35)^2 + (√50)^2

x^2 = 35 + 50

x^2 = 85

x = √85 units

Now as we know that the area of a square is simply the length of the side squared,

The area of the biggest square is simply (√85)^2 = 85 units^2

Answer:

9

Step-by-step explanation:

We can use the distance formula

d = sqrt (   ( y2-y1)^2 + ( x2-x1) ^2)

d = sqrt (   ( 4- -3)^2 + ( -4 -2) ^2)

   = sqrt (  ( 7^2  + ( -6)^2)

   = sqrt( 49+ 36)

   = sqrt(85)

      9.219544457

Rounding to the nearest whole number

 = 9

Answer:

75.36 yd²

Step-by-step explanation:

To solve, you need to consider the walkway and the pool as one circle and find the are.  The diameter of this circle is 25 yd.  This means that the radius is 12.5 yd.

A = πr²

A = π(12.5)²

A = 156.25π

A = 490.625 yd²

Then, you need to find the area of the pool alone.  Since the diameter of the pool is 23 yd., the radius is 11.5 yd.

A = πr²

A = π(11.5)²

A = 132.25π

A = 415.265 yd²

Subtract the two areas to find the are of the walk.

490.625 - 415.265 = 75.36 yd²

The area is 75.36 yd²

Answer:

For sample size n = 39 ; P(X < 31.6) = 0.9756

For sample size n = 76 ; P(X < 31.6) = 0.9970

Step-by-step explanation:

Given that:

population mean μ = 31

standard deviation σ = 1.9

sample mean  [tex]\overline X[/tex] = 31.6

Sample size n                 Probability

39

76

The probabilities that the sample mean is less than 31.6 for both sample size can be computed as  follows:

For sample size n = 39

[tex]P(X < 31.6) = P(\dfrac{\overline X - \mu}{\dfrac{\sigma }{\sqrt{n}}}< \dfrac{\overline X - \mu}{\dfrac{\sigma }{\sqrt{n}}})[/tex]

[tex]P(X < 31.6) = P(\dfrac{31.6 - \mu}{\dfrac{\sigma }{\sqrt{n}}}< \dfrac{31.6 - 31}{\dfrac{1.9 }{\sqrt{39}}})[/tex]

[tex]P(X < 31.6) = P(Z< \dfrac{31.6 - 31}{\dfrac{1.9 }{\sqrt{39}}})[/tex]

[tex]P(X < 31.6) = P(Z< \dfrac{0.6}{\dfrac{1.9 }{6.245}})[/tex]

[tex]P(X < 31.6) = P(Z< 1.972)[/tex]

From standard normal  tables

P(X < 31.6) = 0.9756

For sample size n = 76

[tex]P(X < 31.6) = P(\dfrac{\overline X - \mu}{\dfrac{\sigma }{\sqrt{n}}}< \dfrac{\overline X - \mu}{\dfrac{\sigma }{\sqrt{n}}})[/tex]

[tex]P(X < 31.6) = P(\dfrac{31.6 - \mu}{\dfrac{\sigma }{\sqrt{n}}}< \dfrac{31.6 - 31}{\dfrac{1.9 }{\sqrt{76}}})[/tex]

[tex]P(X < 31.6) = P(Z< \dfrac{31.6 - 31}{\dfrac{1.9 }{\sqrt{76}}})[/tex]

[tex]P(X < 31.6) = P(Z< \dfrac{0.6}{\dfrac{1.9 }{8.718}})[/tex]

[tex]P(X < 31.6) = P(Z< 2.75)[/tex]

From standard normal  tables

P(X < 31.6) = 0.9970

Answer:

3 = x

Step-by-step explanation:

5(x+4) = 35

distribute: 5x + 20 = 35

subtract 20 to both sides

15 = 5x

divide by 5 to make x independent

x=3

The value of x is 3

The above expression in the question is referred to as an Algebraic expression

7+ 2x/3 = 5

7 x 3 + (2x/3) x 3 = 5 x 3

21 + 2x = 5 × 3

21 + 2x = 15

21 - 21 + 2x = 15 - 21

2x = -6

2x/2 = -6/2

x = -3

Therefore, the value of x is  -3

To learn more, visit the link below:

brainly.com/question/15791428

Answer:

3 3/4

Step-by-step explanation:

(4x+3)(x-8)+(x-1)(4x+3)=0

Factor out 4x+3

(4x+3)( x-8+x-1) =0

Combine terms

(4x+3) ( 2x-9) =0

Using the zero product property

4x+3 = 0    2x-9 =0

4x=-3         2x = 9

x = -3/4       x = 9/2

Sum the solutions

-3/4 + 9/2

-3/4 + 18/4

15/4

3 3/4

Answer:

0.2

Step-by-step explanation:

it works out to be 0.2 as a decimal and 20% as a percentage.

Answer:

.2

Step-by-step explanation:

Answer:

2.5, -1.8

Step-by-step explanation:

½(x¹+x²) ,½(y¹+y²)

½(3.5+1.5) ,½(2.2+(-4.8)

½(5.0), ½(2.2-4.8)

2.5 ,½(-3.6)

2.5, -1.8

Answer: It’s 2.5, -1.3, the other person must’ve misclicked lol

Answer:

Step-by-step explanation:

We will start with the angle that measures 57 degrees. This angle is supplementary to the one next to it coming off the straight line. 180 - 57 = 123.

The rule for quadrilaterals is that same side angles are supplementary, so the angle next to the 123-degree angle (to the immediate left of that angle 123) is 57. THAT 57-degree angle is supplementary to angle b, so angle b = 180 - 57 which is 123. So C is your answer.

Answer:

do you think you can send me the work for the program

Step-by-step explanation:

i got 1 day left and im not close to finishing it please help me out please respond with any way to contact you thanks

Answer:

[tex]\boxed{x=R}[/tex], where R stands for all real numbers.

Step-by-step explanation:

Part 1: Solving one equation for its variable

First, we need to solve one of the equations for one of its variables. I will use the second equation.

[tex]2x+y=18[/tex]   Subtract [tex]2x[/tex] from both sides to isolate the [tex]y[/tex].

[tex]\boxed{y = -2x + 18}[/tex]

Part 2: Substituting the solved variable value into the other equation

Now, simply substitute this value in the place of the [tex]y[/tex] in the first equation and solve for [tex]x[/tex].

[tex]6x+3(-2x+18) =54[/tex]    Distribute the coefficient of the equation.

[tex]6x -6x + 54 = 54[/tex]    Simplify the equation.

[tex]0 = 0[/tex]

This answer is perfectly okay to get. This means that your equations have an infinite number of solutions.

Answer:

A. Undefined slope (no slope)

B. [tex]\frac{5}{4}[/tex]

Step-by-step explanation:

A slope is rise over run.

The points (6, 2) and (6, -3) are located on the same x coordinate, therefore they have an undefined slope.

However, the points (-4, -7) and (4, 3) do have a slope. The rise is 10 ( | -7+ 3 | ) and the run is 8 ( | -4 + 4 | ). 10/8 is equivalent to 5/4.

Hope this helped!

Answer:

B.

Step-by-step explanation:

First, let's start from the parent function. The parent function is:

[tex]f(x)=\sqrt{x}[/tex]

The possible transformations are so:

[tex]f(x)=a\sqrt{bx-c} +d[/tex],

where a is the vertical stretch, b is the horizontal stretch, c is the horizontal shift and d is the vertical shift.

From the given equation, we can see that a=1 (so no change), b=3, c=-3 (negative 3), and d=3.

Thus, this is a horizontal stretch by a factor of 3, a shift of 3 to the left (because it's negative), and a vertical shift of 3 upwards (because it's positive).

Answer:

the probability that the first groupmate you meet has studied some statistics is 0.45

Step-by-step explanation:

From the information given :

A professor divided the students in her business class into three groups

Let consider then to be :

Group            Statistics Class

A                    Never taken a statistics class

B                    Taken one statistics class

C                     Taken two or more statistics class.

If 55% of the students have never taken a statistics class,

Then ;

P(A) = 0.55

25% have taken only one semester of a statistics class

Then P(B) = 0.25

and the rest have taken two or more semesters of statistics

Then P(C) = 1 - 0.55 -0.25

P(C) = 1 - 0.80

P(C) = 0.20

The objective is to determine the probability that the first groupmate you meet has studied some statistics

The probability of the first groupmate you meet has studied some statistics = 1 - P(never taken a statistics course)

Let the  probability of the first groupmate you meet that  has studied some statistics be P(D)

Then P(D) = 1 -  P(A)

P(D) = 1 - 0.55

P(D) = 0.45

the probability that the first groupmate you meet has studied some statistics is 0.45

Answer:

3x+7=10x+17

Step-by-step explanation:

1.9

10x

27x

Answers:

Equation is  3x+7 + 10x+17 = 180 (there are infinitely many other ways to write the equation)

x = 12

Angles are 43 and 137

==========================================================

Explanation:

The horizontal lines are parallel, so the same side interior angles marked are supplementary. The angles add to 180

(3x+7) + (10x+17) = 180 is the equation, or one variation of such

13x+24 = 180

13x = 180-24

13x = 156

x = 156/13

x = 12 is the value of x

Use this x value to find the measure of each angle

3x+7 = 3*12+7 = 43

10x+17 = 10*12+17 = 137

The two angles are 43 and 137 degrees

Note how 43 and 137 add to 180.

Answer:

[tex]m^{10}[/tex]

Step-by-step explanation:

[tex]m^2m^5m^3\\=m^{2+5+3}\\\\=m^{10}[/tex]

===============================================

Explanation:

I'm assuming you meant to write m^2 * m^5 * m^3

If so, you add the exponents to get 2+5+3 = 10 which is the exponent over the original base m. The base does not change.

The rule I used is a^b*a^c = a^(b+c). We see that the base stays the same at 'a' the whole time.

-----------

A longer way to do this is to expand out m^2 into m*m. We have two copies of m multiplied together.

Similarly, m^5 = m*m*m*m*m. We have five copies now.

Saying m^2*m^5 will have seven copies because

m^2*m^5 = (m*m) times (m*m*m*m*m) = m*m*m*m*m*m*m = m^7

Tacking on m^3 will add on three more copies of m to multiply out, giving 10 copies of m total to multiply. This alternative method is not advised since there is a possibility to lose track and make an error somewhere. The formula in the previous section is preferred. Though I recommend you try this second method out to see how/why the formula works.

Answer:

It is a trapezoid because it has exactly one pair of opposite sides that is parallel.

Step-by-step explanation:

D

dont worry its right

happy learning

Answer:

C) 118.8; 28.8

Step-by-step explanation:

for eating, it didn't make sense for it to be 288 degrees, so i eliminated the two off the list. For sleeping, it made more sense for it to be a 118.8 degree angle, so I narrowed it down to C.

The central angle for sleeping is 118.8 degrees and the central angle for eating is 28.8 degrees.

The angle formed by an arc of the circle at the center of the circle is called central angle of a pie chart.

central angle = [tex]\frac{sector}{100}[/tex] × 360

According to the given question

We have a pie chart

In which, time spend by students in different activities is given.

Now,

The measure of central angle for sleeping is given by

Central angle for sleeping = [tex]\frac{sector}{100}[/tex] × 360

⇒ Central angle for sleeping =[tex]\frac{33}{100}[/tex] × 360 = 118.8 degrees.

Similarly,

The measure of central angle for eating is given by

Central angle for eating = [tex]\frac{8}{100}[/tex] × 360 = 28.8 degrees

Hence, first option is correct.

Learn more about the central angle of pie chart here:

https://brainly.com/question/9473378

#SPJ2

Answer:

greater than

Step-by-step explanation:

An exponential growth function has a base that is__greater than__one.

If the base is less than one, it will be a decay function.

Note: the above assumes an exponent greater than one as well.

Answer:

Choice C

Step-by-step explanation:

[tex] -3.55g \le -28.4 [/tex]

Divide both sides by -3.55; remember that by dividing both sides of an inequality by a negative sign, you need to change the direction of the inequality sign.

[tex] \dfrac{-3.55g}{-3.55} \ge \dfrac{-28.4}{-3.55} [/tex]

[tex] g \ge 8 [/tex]

Answer: Choice C

Answer:

Third answer

Step-by-step explanation:

the sign less than or equal to gets flipped when you divide by a negative

solid circle and points to the right because now it is greater than or equal to.

Answer:

g(x)=6 when x=-4

g(x)=-2 when x=3

Answer:

g(x) = 6 when x=-4

g(x)= -2 x=3

Step-by-step explanation:

plz check the graph of g(x) ,

when x= -4, the value of y = 6

when x=3, the value of y =-2

Answer:

x= 20      x =-5

Step-by-step explanation:

x^2 – 15x – 100 = 0.

What two numbers multiply to -100 and add to -15

-20 * 5 = -100

-20 +5 = -15

(x-20) (x+5) =0

Using the zero product property

x-20 =0     x+5 = 0

x= 20      x =-5

x = 20 and x = -5

Step-by-step explanation:

x² – 15x – 100 = 0

First, find factors that multiply to get -100 and add to -15.

These factors are -20 and 5.

So we have (x - 20)(x + 5) = 0.

Now use the zero product property to get x - 20 = 0 or x + 5 = 0.

Solving from here, we get x = 20 or x = -5.

D. The line is perpendicular to the plane determined by the two lines.

Remember how you get to 3D space?

You take one axis called x and perpendicularly intersect it with y axis and you get a 2D plane. Now take a 2D plane and perpendicularly intersect it with an axis z and you get 3D euclidean space.

Hope this helps.

Answer:

Step-by-step explanation:

identitiy property

Answer:

2.25 x 10

Step-by-step explanation:

In the above question, we were given :

The weight of the Elephant = 9 × 10³ pounds

The weight of the African Lion = 4 × 10² pounds

We would compare both weights to determine which size is bigger

Weight of Elephant : Weight of Lion

9× 10³ : 4 × 10²

= 9 × 10³/4 × 10²

= 2.25 × 10¹

= 2.25 × 10

The weight of the elephant is 2.25 × 10 times greater than the weight of the lion.

Answer:

D. ​Population, because it is a collection of salaries for all teachers in the school.

Step-by-step explanation:

In research, population refers to a complete set of subjects that share a characteristic and that the researcher is interested in. On the other hand, a sample is a subset of a population and it's usually the one the researcher takes to make a study with.

In this example, we have "The salary of each teacher in a school" since we are taking ALL the teachers of this school, this would be a population. If we were working with the salary of only a portion of the teachers of said school, it would be a sample.

Thus, the right answer is  D. ​Population, because it is a collection of salaries for all teachers in the school.

Range = max - min

Visually the min and max are the leftmost and right most points on the whiskers. This is assuming we don't have outliers in either direction. The range represents the total width of the box and whisker plot. For movie B, it is wider, so therefore it has a larger range of ages.

We could compute the ranges numerically and compare to see which is bigger, or we could align one endpoint (say the right endpoints) to see that movie B has a wider range.