I need someone to answer this immediately please. ... The area of a piece of land is 50cm square. Fi d the value of x, if the length
and breadth are given as (x+2) and (x-3)m respectively
options. A. 3
B. 5
C. 7
D. 8​

Answers

Answer 1

Answer:

x=8

Step-by-step explanation:

Area is equal to

A = l * w

50 = ( x+2) ( x-3)

FOIL

50 = x^2 -3x+2x -6

Combine like terms

50 = x^2 -x -6

Subtract 50 from each side

0 = x^2 -x -56

Factor

What two numbers multiply to -56 and add to -1

-8*7 = -56

-8+7 = -1

0 = ( x-8) ( x+7)

Using the zero product property

x-8 =0   x+7 =0

x = 8   x=-7

Since the length cannot be negative x cannot be negative

x=8

Answer 2

Answer:

8

Step-by-step explanation:

put the 50 under area and continue with like that


Related Questions

10. Read the following word problem, then choose which linear equation models the problem.

The length of a rectangle is six feet more than twice the width. The rectangle’s perimeter is 84 feet. Find the width and length of the rectangle.
A. 2w + 6 + w = 84
B. 2(2w + 6) + 2w = 84
C. 2(2w +6) • (2w) = 84
D. (2w + 6) • (w) = 84

Answers

Answer:

D. ( 2w+6). (w)

i tried my best

hope this is the answer

stay at home stay safe

what happens to the resistance as the conductor is made thicker​

Answers

Answer:

The resistance decreases.

Step-by-step explanation:

The resistance decreases as the conductor is made thicker.

First of all, resistance is like some sort of an obstacle right?

So if the conductor is made thicker it will be easy for the electrons to pass through.

And if the conductor is made thinner it won't be easy for the electrons to pass through. Which makes the resistance increase as there will be collision between the electrons.

Hope this helped ;) ❤❤❤

find the sum of the following ap .1) 1/15, 1/12, 1/10,....,to 11 terms​

Answers

Answer:

33/20

Step-by-step explanation:

1/12 - 1/15 = 5/60 - 4/60 = 1/60

d = 1/60

a_n = a_1 + d(n - 1)

a_11 = 1/15 + (1/60)(11 - 1)

a_11 = 1/15 + 1/6

a_11 = 4/60 + 10/60

a_11 = 14/60

a_11 = 7/30

a_12 = 14/60 + 1/60

a_12 = 15/60

a_12 = 1/4

s_n = n(a_1 + a_n)/2

s_11 = 11(1/15 + 7/30)/2

s_11 = 11(2/30 + 7/30)/2

s_11 = 11(9/30)/2

s_11 = 99/60

s_11 = 33/20


Gum
Packages of gum
Pieces of gum
1
15
2
30
3
45
4
How many pieces of gum are in 4 packages of gum?

Answers

Answer:

60 pieces

Step-by-step explanation:

The rate of pieces to packages is 15/1.

Multiply this rate by 4 to get the answer.

15 * 4 = 60

━━━━━━━☆☆━━━━━━━

▹ Answer

60 pieces of gum

▹ Step-by-Step Explanation

[tex]\left[\begin{array}{cccc}1&2&3&4\\15&30&45&60\\\end{array}\right][/tex]

The pattern is multiply the number of packs by 15 therefore, the answer will be 60 pieces of gum.

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Solve.
6x + y = 14
-2x - y = -4
Enter your answer, in the form (x, y), in the boxes.

Answers

Answer:

[tex]\huge\boxed{(2.5,\ -1)}[/tex]

Step-by-step explanation:

[tex]\underline{+\left\{\begin{array}{ccc}6x+y=14\\-2x-y=-4\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad4x=10\qquad\text{divide both sides by 4}\\.\qquad\dfrac{4x}{4}=\dfrac{10}{4}\\.\qquad\boxed{x=2.5}\\\\\text{put it to the first equation}\\6(2.5)+y=14\\15+y=14\qquad\text{substract 15 from both sides}\\15-15+y=14-15\\\boxed{y=-1}[/tex]

Answer:

x = 5/2, y = -1

Step-by-step explanation:

6x + y = 14

-2x - y = -4

Add the two equations together to eliminate y

6x + y = 14

-2x - y = -4

-----------------------

4x = 10

Divide by 4

4x/4 = 10/4

x = 5/2

Now solve for y

-2x -y = -4

-2( 5/2) -y = -4

-5 -y = -4

Add 5 to each side

-5+5 -y =-4+5

-y = 1

Divide by -1

y = 1

Plz help pre calc!!!!

Answers

The correct answer is 8

The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 61 and a standard deviation of 11. Using the empirical rule (as presented in the book), what is the approximate percentage of lightbulb replacement requests numbering between 61 and 94?

Answers

Answer:

P(61≤ X≤94) = 49.85%

Step-by-step explanation:

From the given information:

The mean of the bell shaped fluorescent light bulb μ = 61

The standard deviation σ = 11

The objective of this question is to determine the approximate percentage of light bulb replacement requests numbering between 61 and 94 i.e P(61≤ X≤94)

Using the empirical (68-95-99.7)rule ;

At 68% , the data lies between  μ - σ and μ + σ

i.e

61 - 11 and 61 + 11

50 and 72

At  95%, the data lies between  μ - 2σ and μ + 2σ

i.e

61 - 2(11) and 61 + 2(11)

61 - 22 and 61 +22

39   and   83

At 99.7%, the data lies between  μ - 3σ and μ + 3σ

i.e

61 - 3(11) and 61 + 3(11)

61 - 33 and 61 + 33

28   and   94

the probability equivalent to 94 is when  P(28≤ X≤94) =99.7%

This implies that ,

P(28≤ X≤94) + P(61≤ X≤94) = 99.7%

P(28≤ X≤94) = P(61≤ X≤94) = 99.7 %    

This is so because the distribution is symmetric about the mean

P(61≤ X≤94) = 99.7 %/2

P(61≤ X≤94) = 49.85%

Name the algebraic property demonstrated in the example below: (1 point) x ⋅ y ⋅ z = y ⋅ x ⋅ z

Answers

Answer:

commutative property of multiplication

Step-by-step explanation:

I WILL GIVE BRAINLIEST!!! A teacher is grading the final exam. He notices that the mean test score is 61, and the standard deviation is 10. The test scores were normally distributed. if there were 450 students in the data sample, how many would have a test score between 61 and 71 *Round your answer to the nearest full value.

Answers

Answer:

The number of students that would have a test score between 61 and 71 are 154 students

Step-by-step explanation:

The given information are;

The mean test score, μ = 61

The standard deviation, σ = 10

The sample size, n = 450

The z score is given as follows;

[tex]Z=\dfrac{x-\mu }{\sigma }[/tex]

We therefore have at x = 61,

[tex]Z=\dfrac{61-61 }{10 } = 0[/tex]

P(x > 61) = P(Z > 0) = 1 - 0.5 = 0.5

For x = 71, we  have;

[tex]Z=\dfrac{71-61 }{10 } = 1[/tex]

P(x < 71) = P(Z < 1) = 0.84134

The probability that the score will be between 61 and 71 is the difference between the two probabilities, which is 0.84134 - 0.5 = 0.34134

Given that the probability is equivalent to  the proportion of the students that would have a test score between 61 and 71, we have;

The number of students that would have a test score between 61 and 71 = 0.34134 × 450 = 153.6 ≈ 154 to the nearest whole number.

What does the denominator of the fraction \dfrac23 3 2 ​ start fraction, 2, divided by, 3, end fraction mean?

Answers

Answer: It represents that 2 will be divided into 3 equal parts.

Step-by-step explanation:

Numerator is the top number in a fraction. It represents the total item it has to divide.Denominator is the bottom number in a fraction. it represents the number of equal parts the item is divided into.

The given fraction : [tex]\dfrac{2}{3}[/tex]

here, Numerator = 2

Denominator = 3

It represents that 2 will be divided into 3 equal parts.


The graphs below are both absolute value functions. The equation of the red
graph is f(x) = [X]. Which of these is the equation of the blue graph, g(x)?

Answers

Answer:

The answer is option C.

[tex]g(x) = \frac{1}{2} |x| [/tex]

Hope this helps you

A Line Segment has the points (1,-2), and (3,-2). What are the new points after its dilated by a scale factor of 3/2 or 1.5

Answers

Answer:

The new points after dilation are

(3/2, -3) and (9/2,-3)

Step-by-step explanation:

Here in this question, we want to give the new points of the line segment after it is dilated by a particular scale factor.

What is needed to be done here is to multiply the coordinates of the given line segment by the given scale factor.

Let’s call the positions on the line segment A and B.

Thus we have;

A = (1,-2) and B = (3,-2)

So by dilation, we multiply each of the specific data points by the scale factor and so we have;

A’ = (3/2, -3) and B’= (9/2,-3)

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.

Answers

Answer:

The logarithmic parent function is the only one with negative numbers in the range

Step-by-step explanation:

Hello,

These functions have been very well known, I remind you their graphs below

The logarithmic parent function is the only one with negative numbers in the range

range for square root is [tex]\mathbb{R^{+}}[/tex]

range for logarithmic is [tex]\mathbb{R}[/tex]

range for exponential is [tex]\mathbb{R^{+}}[/tex]

THAT S TRUE

The square root and logarithmic parent functions have the same domain

domain for square root is [tex]\mathbb{R^{+}}[/tex]

domain for logarithmic is [tex]\mathbb{R}[/tex]

THAT S WRONG

The square root parent function domain is the most restricted

domain for square root is [tex]\mathbb{R^{+}}[/tex]

domain for exponential is [tex]\mathbb{R^{+}}[/tex]

THAT S WRONG

All three parent functions have the same domain

domain for square root is [tex]\mathbb{R^{+}}[/tex]

domain for exponential is [tex]\mathbb{R^{+}}[/tex]

domain for logarithmic is [tex]\mathbb{R}[/tex]

THAT S WRONG

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Amanda is cooking a turkey for dinner. The recipe says that the turkey should cook for 1\dfrac121 2 1 ​ 1, start fraction, 1, divided by, 2, end fraction hours. She has been cooking the turkey for 252525 minutes. According to the recipe, how many more minutes does the turkey need to cook?

Answers

Answer:

The turkey needs to cook for 5 more minutes

Step-by-step explanation:

According to recipe, Amanda should cook for total of 1/2 hour which is 30 minutes. If she has been cooking for 25 minutes, the remaining time needed for the turkey to cook will be the difference between the total time and the time she has already spent in cooking.

[tex]minutes\ left = 30 minutes - 25 minutes\\\\munites\ left = 5 minutes[/tex]

Hence, the turkey needs to cook for 5 more minutes

PLZ HELP Which represents a quadratic function? f(x) = 2x3 + 2x2 – 4 f(x) = –7x2 – x + 2 f(x) = –3x + 2 f(x) = 0x2 + 3x – 3

Answers

Answer:

f(x) = -7x² - x + 2

Step-by-step explanation:

Quadratic functions are set up in the form ax² + bx + c. f(x) = 0x² + 3x -3 is also set up in this format but 0x² would simplify to 0 which means the equation is actually f(x) = 3x-3 and does not fit in the quadratic function format. The other equations are also not set up in ax² + bx + c.

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

A polynomial with degree 2 is called a quadratic equation.

The quadratic equation is in the form of ax² + bx + c.

The equation that represents a quadratic equation is

f(x) = -7x² - x + 2.

It is in the form of ax² + bx + c

Where a = -7, b = -1, and c = 2

Option B is the correct answer.

What is a polynomial?

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

A polynomial with degree 2 is called a quadratic equation.

The quadratic equation is in the form of ax² + bx + c.

Now,

f(x) = 2x³ + 2x² - 4

This is not a quadratic equation since it has a degree of 3.

f(x) = -7x² - x + 2

This is a quadratic equation since its degree is 2.

It is in the form of ax² + bx + c

Where a = -7, b = -1 and c = 2

f(x) = -3x + 2

This is not a quadratic equation.

Its degree is 1.


f(x) = 0x² + 3x - 3

f(x) = 3x - 3

This is not a quadratic equation.

Thus,

The equation that represents a quadratic equation is

f(x) = -7x² - x + 2.

It is in the form of ax² + bx + c

Where a = -7, b = -1, and c = 2

Option B is the correct answer.

Learn more about polynomials here:

https://brainly.com/question/2284746

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Write an equation of the line that passes through the point (-6, -5) with slope 6.


A. y +5= -6(x+6)
B.y+6= -6(x+5)
C. y+6=6(x+5)
D.y+5= 6(x+6)

Answers

Answer:

The answer is option D.

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

Equation of a line from given a Slope and a point is

y - y1 = m(x - x1)

Where ( x1 , y1) is the point

Equation of the line using point (-6 , -5) and slope 6 is

y + 5 = 6(x - 6)

Hope this helps you

64, -48, 36, -27
which formula describes the sequence?

Answers

Answer:

The formula would be

T(n) = 64 (-3/4)^n, n=0,1,2,...

or sometimes

T(n) = T(n-1)(-3/4),     T(0) =64, n=0,1,2,...

Step-by-step explanation:

The common ratio is -3/4, i.e.

(-3/4) * 64 = -48

(-3/4) * 48 = 36

(-3/4) * 36 = -27

...

The formula would be

T(n) = 64 (-3/4)^n, n=0,1,2,...

or sometimes

T(n) = T(n-1)(-3/4),     T(0) =64, n=0,1,2,...

Note: Would have been easier if the choices were supplied.

find the area of a sector of a circle with radius 6 centimetre if angle of sector is 60 degree​

Answers

Answer:

Step-by-step explanation:

[tex]area=\frac{\pi r^2 \times\theta}{360} =\frac{\pi 6^2 \times 60}{360} =6 \pi \approx 18.85~ cm^2[/tex]

Which one of the following would most likely have a positive linear correlation coefficient?
A. temperature of a refrigerator compared to the number of items inside of it
B. amount of money spent on baby food as a child ages
C. length of a driveway compared to number of cars owned
D. distance driven in a car compared to the hours spent driving

Answers

Answer:

this question is not clear please send clear question

Which of the following options could represent a possible set of interior angles of a triangle? 100°, 130°, and 130° 30°, 70°, and 80° 25°, 3°, and 35° 45°, 105°, and 120°

Answers

Answer:

2) 30, 70, 80

Step-by-step explanation:

Well there has to be 3 angles that all add up to 180°.

1)

100+130+130

=360

2)

30+70+80

= 180

3)

25+3+35

=63

4)

45 + 105 + 120

=150

150+120

270

What is the measure of Angle D F E? Triangle D E F. The exterior angle to angle F is 142 degrees. 38 degrees 52 degrees 118 degrees 142 degrees

Answers

as the exterior angle is known

sum of that angle and f angle = 180

142 + f = 180

f = 180 - 142

f = 38

Answer:

38

Step-by-step explanation:

Add the angle and f angle (180)Now add 142 + f = 180 Now subtract 180 - 142  (= f) Finally you get your answer 38

Hope this helps you :)

On a coordinate plane, a line goes through (negative 4, negative 1) and (0, 1). Square a is around (negative 5, negative 2), square b is around (negative 1, 1), square c is around (1, 2), and square d is around (4, 4). The linear equation y = one-half x + 1 is represented by the graphed line. A second linear equation is represented by the data in the table. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 0, 2, 4. Column 2 is labeled y with entries 7, 6, 5, 4. In which square is the solution located?

Answers

Answer:  D

Step-by-step explanation:

The solution of the two equations does not exist since they are parallel.

What is Slope?

Slope of a line is the ratio of the change in y coordinates to the change in x coordinates of two points.

Equation of a line in slope intercept form is y = mx + b, where m is the slope and b is y intercept.

Given linear equation of a line in slope intercept form as,

y = 1/2 x + 1

Here slope = 1/2 and y intercept = 1

y intercept is the y value of a point where it touches the y axis.

A second linear equation is to be found by using the values in the table.

Taking two points (2, 7) and (0, 6).

Slope = (6 - 7) / (0 - 2) = (-1) / (-2) = 1/2

Since the point (0, 6) is given, 6 is the y coordinate when the line touches the Y axis.

y intercept = 6

Equation of the second line is,

y = 1/2 x + 6

Since the slopes of two lines are equal, they are parallel.

There is no solution for two parallel lines.

Hence there is no solution for the linear equations given.

To learn more about Slope, click on the link :

https://brainly.com/question/19131126

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Which volume formula or formulas show(s) a joint variation? I =3 V = s 3 II =πr2h V = π r 2 h III =ℎ V = B h Select one: a. III only b. I only c. II and III only d. I, II, and III

Answers

Answer:

C. . II and III only

Step-by-step explanation:

Given:

I. V=s^3

II.V=πr^2h

III. V=Bh

From the above

I. V varies directly as cube of s

II. V varies jointly as square of r and h where π is the constant of proportionality.

III. V varies jointly as B and h

Therefore, the volume formula which shows a joint variation are

II.V=πr^2h and III. V=Bh

Answer is C. II and III only

A rectangle measures 6 cm by 4 cm. Another rectangle with adjacent sides 8 cm and x cm is geometrically similar to it. Find the two possible value of x.

Answers

Answer:

5 1/3 or 5.33333333333333333333333333333333333333333333333333333

Step-by-step explanation:

to find the scale factor, you must divide the two equal sides.

[tex]\frac{6}{8}[/tex]

which equals

[tex]\frac{3}{4}[/tex] or 0.75

Now, the way to get the value of x is to divide 4 by 3/4 0r 0.75

[tex]\frac{4}{0.75}[/tex]

Which equals

5.333 repeating or 5 1/3

Hope this helps. If you have any follow-up questions, feel free to ask.

Have a great day! :)

Determine whether the triangles are congruent. Explain you reasoning.

Answers

Triangles are congruent

Step-by-step explanation:

Law of Side, Side, Angle

Thier base are same (PR).

Thier 1 side is equal to 2 inch (PS = RQ).

Thier 1 angle is equal (/_ PRQ = /_ RPS)

So, Its prove that both triangles are congruent.

Theresa has two brothers, Paul and Steve, who are both the same height. Paul says he is 16 inches shorter than times 1 1/3 Theresa’s height. Steve says he is inches shorter than times Theresa’s height. If they are both right, how tall is Theresa? write an expression to show how tall steve is

Answers

Answer:

Theresa is 58.82 in tall

Step-by-step explanation:

Steve: x=1.33y-6

x=72.24

i Will give brainliest​

Answers

Answer: B

Step-by-step explanation:

Option A simplifies to 7/15

Option B simplifies to 11/21

If 1/2 is equal to .50, then when subtracted 7/15 would be equal to 0.46666667 and 11/21 would be equal to 0.52380952... meaning that 11/21 would be closer to 1/2 (or .50).

Hope this helps!

evaluate sine squared theta for theta equals 45 degrees ​

Answers

sin(45), or sin(pi/4) = sqrt(2)/2. So sin^2(45)= (sqrt(2)/2)^2, which is 1/2.

If ABCD is a rectangle, calculate x as a function of α

Answers

Answer:

Step-by-step explanation:

The length of this triangle is 10 squares

and the width is 4 squares

The diagonals divide the rectangle into four triangles

These traingles are isoceles

Each two triangles facing each others are identical

<B = 90 degree

B = alpha + Beta

Let Beta be the angle next alpha

The segment that is crossing Beta is its bisector since it perpendicular to the diagonals wich means that:

Beta = 2x

Then B = alpha + 2x

90 = alpha +2x

90-alpha = 2x

x = (90-alpha)/2

Answer:

x = 90 - 2α

Step-by-step explanation:

Solution:-

- Consider the right angled triangle " ABD ". The sum of angles of an triangle is always "180°".

                       < BAD > + < ADB > + < ABD > = 180°

                       < ABD > = 180 - 90° - α

                        < ABD > = 90° - α

- Then we look at the figure for the triangle "ABE". Where " E " is the midpoint and intersection point of two diagonals " AC and BD ".

- We name the foot of the perpendicular bisector as " F ":  " BF " would be the perpendicular bisector. The angle < BAE > is equal to < ABD >.

                    < ABD > = < BAE >  = 90° - α   ... ( Isosceles triangle " BEA " )

Where, sides ( BE = AE ).

- Use the law of sum of angles in a triangle and consider the triangle " BFA " as follows:

                     < ABF> + < BFA > + < BAF > = 180°

                     < ABF > = 180 - (90° - α) - 90°

                    < ABF > = α  

Where,       < BAF > = < BAE >

- The angle < ABD > = < ABE > is comprised of two angles namely, < ABF > and < FBE >  = x.

                        < ABD > = < ABE > = < ABF > + x

                         90° - α = α + x

                        x = 90 - 2α   ... Answer

This is probably pretty easy, I could solve all the other ones but I got stuck on this one.

Answers

Answer:

78

Step-by-step explanation:

Let x be the score on the next test

We are averaging 6 tests and want an average of 75

( 82+91+38+78+83+x) /6 = 75

Multiply each side by 6

( 82+91+38+78+83+x) = 75*6

( 82+91+38+78+83+x)  =450

Combine like terms

x+372 = 450

Subtract 372 from each side

x+372-372 = 450-372

x =78

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