Mathematics High School

A polygon has perimeter 12 units. It is dilated with a scale factor of 3/4. What is the
perimeter of its image?
A. 9 units
B. 12 units
C. 16 units

Answers

Answer 1
9 because 12 x 0.75
—————
Answer 2

With the given scale factor, perimeter of polygon's image is 9 units. Therefore, option A is the correct answer.

Given that, the perimeter of a polygon = 12 units and the scale factor = 3/4.

What is scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

So, 3/4 = Dimensions of the new shape/12

= 3/4 × 12

= 3 × 3

= 9 units

With the given scale factor, perimeter of polygon's image is 9 units. Therefore, option A is the correct answer.

To learn more about the scale factor visit:

https://brainly.com/question/22312172.

#SPJ2

Related Questions

Find the percent of increase to the nearest whole percent from 12 to 20? Please help

Answers

Amount of increase = 20-12 = 8
Percentage increase = 8/12 = 0.666... 66.666...% ≈ 67%

Explain how you would determine the slope and y-intercept of a line
when given a table, graph and an equation.
I KISS YOUR TOES IF YOU HELP ME

Answers

Answer:

slope is m= y_2-y_1/x_2-x_1 and the y-intercept is where the line crosses over the x-axis

Step-by-step explanation:

fill in the points and do the equation m= rise(y points)/ run(x points)

m=slope

(x_1, y_1) =coordinates of first point in the line

(x_2, y_2)=coordinates of second point in the line

I need help with Geometry

Answers

it’s square root 240 or in radical form 4 root 15

Pls help Factor 4x^3+32

Answers

Answer:

Step-by-step explanation:

The greatest common factor they share is 4.

[tex]4(x^3+8)[/tex]

A rectangular field measures 400yds x 600yds. Find the length of the diagonal of the field.

Answers

That would be 1000 yards - add the both together

rationalise the denominator by 6 root 7 minus 1

Answers

Answer:

Assuming the numerator was 1.

[tex](6\sqrt{7}+1)/251[/tex]

Step-by-step explanation:

Assuming the numerator was 1.

[tex]1/(6\sqrt{7} -1)\\ (6\sqrt{7}+1)/((6\sqrt{7} - 1)(6\sqrt{7} + 1))\\ (6\sqrt{7}+1)/((6\sqrt{7})^2 + 6\sqrt{7} - 7\sqrt{7} - 1)\\(6\sqrt{7}+1)/((6\sqrt{7})^2 - 1)\\(6\sqrt{7}+1)/((36*7 - 1)\\(6\sqrt{7}+1)/251[/tex]

what is -7/5 rounded to the nearest tenth?

Answers

Answer:

-1.4

Step-by-step explanation:

-7/5 = -1.4

A project manager has ordered 252 pallets of concrete blocks for a construction project. Casone's trucks can each carry 14 pallets of blocks at a time. The project manager used partial quotients to find the number of delivery trucks to expect. His work is shown at the right. Is his solution correct? Explain

Answers

Answer:

18 trucks of delivery

Step-by-step explanation:

Total pallets of concrete blocks ordered = 252 pallets

If each truck can carry 14pallets, then;

1 truck = 14pallets

To determine the number of delivery truck 252pallets can carry, we can express this as:

x truck = 252pallets

Divide both expressions

1/x = 14/252

Cross multiply

14x = 1×252

14x = 252

x = 252/14

x = 18

Hence the manger should expect 1 18 trucks of delivery

Write the quadratic equation in standard form:
x^2- 1 = -7x

Answers

Answer:

standard form: ax² + bx + c = 0

x² - 1 = -7x

x² + 7x - 1 = 0

if the simple answer interest on 2,000 for 10 years is 1,600, then what is the interest rate

Answers

Answer:

8%

Step-by-step explanation:

Solving our equation

r = 1600 / ( 2000 × 10 ) = 0.08

r = 0.08

converting r decimal to a percentage

R = 0.08 * 100 = 8%/year

The interest rate required to

accumulate simple interest of $ 1,600.00

from a principal of $ 2,000.00

over 10 years is 8% per year.

tdrzfffffffffffffffffffffffffffffff

Answers

Answer:

AYEEEEEEEEEEEEEEEEEEEE

Step-by-step explanation:

Uhhhhhhhhhhhhhhhhhhhhhhhhhhh

387.4 rounded to the nearest tenth

Answers

Answer:

387.4 is the answer

Step-by-step explanation:

hope this helps=)

Answer:

387.4 rounded to the nearest tenth is 387 because if it's 4 and below you'll get the ones place the same. And if it's 5 and over, the ones place will go up...

The perimeter of a quadrilateral garden is 4x2+3x-4. The first side is represented by x2+2x+15. The second and third sides are each represented by x2-x-10. What expression represents the fourth side? Write a justification of your result.

Answers

Answer:

[tex]y = x^{2} + 3x + 1[/tex]

Step-by-step explanation:

Perimeter equals the sum of the lengths of the sides.

Let y = the length of the fourth side

[tex]4x^{2} + 3x - 4 = x^{2} + 2x + 15 + x^{2} -x - 10 + x^{2} - x - 10 + y[/tex]

[tex]4x^{2} + 3x - 4 = 3x^{2} - 5 + y[/tex]

[tex]x^{2} + 3x + 1 = y[/tex]

4x – y = 7 3y – 12x = –21

Answers

Answer:

y=4x-7   3(4x-7)-21x=-21     12x-21-12x=-21 -21=-21

Step-by-step explanation:

Step: Solve
4
x
−
y
=
7
for y:
4
x
−
y
=
7
4
x
−
y
+
−
4
x
=
7
+
−
4
x
(Add -4x to both sides)
−
y
=
−
4
x
+
7
−
y
−
1
=
−
4
x
+
7
−
1
(Divide both sides by -1)
y
=
4
x
−
7

Step: Substitute
4
x
−
7
for
y
in
−
12
x
+
3
y
=
−
21
:
−
12
x
+
3
y
=
−
21
−
12
x
+
3
(
4
x
−
7
)
=
−
21
−
21
=
−
21
(Simplify both sides of the equation)
−
21
+
21
=
−
21
+
21
(Add 21 to both sides)
0
=
0

passes through (3,-6) and (-1,2) slope intercept form?

Answers

Answer:

2/1

Step-by-step explanation:

8/4 which is also 2/1

I need help please!!

Answers

Answer:

y = -25x + 170

Step-by-step explanation:

For the graph equation y = ax + b, we have to find a and b.

Pick two points that are on the grid for best accuracy.

e.g., (2,120) and (6,20)

Then a = (20-120)/(6-2) = -25

b is the y coordinate of the line with the y axis: 170

So the formula is:

y = -25x + 170

Peter goes for a walk.
He walks 15 miles in 6 hours.
Workout Peter's average speed.
Give your answer in miles per hour.

Answers

Answer:

2.5 miles per hour

Step-by-step explanation:

Just take 15 decide by 6 if I am not wrong

Answer:

2.5 miles per hour

Step-by-step explanation:

6 divided by 6=1 hour.

15 divided by 6= 2.5

Write an explicit formula for
An
, the nth
term of the sequence 36, 46, 56, ....

Answers

Answer:

[tex]a_{n}[/tex] = 10n + 26

Step-by-step explanation:

[tex]a_{n} = a_{1} + (n - 1)d[/tex]

In your problem d = 46 - 36 = 10   and [tex]a_{1} = 36[/tex]

So,  [tex]a_{n}[/tex] = 36 + (n - 1)10

           = 36 + 10n - 10

           = 10n + 26

Zena wants to paint a rectangle on a wall to serve as the background for a mural. She has enough paint to cover 38.25 square feet of wall space. If the width of the rectangle is 4.5 feet, what is its maximum length? a 33.75 ft b 8.5 ft c 38.25 ft d 4.5 ft

Answers

Answer:

8.5 feet.

Step-by-step explanation:

it is 38.25 / 4.5

Answer:

8.5

Step-by-step explanation:

Given the equation 2x2 - 5x + 7 = 0.
1. Find the discriminant.
2. Describe the roots and explain your reasoning.

Answers

Answer:

how is it  0????

Step-by-step explanation:

You can buy six cans of root beer for $18. How much will she pay for 27
cans?

Answers

Answer:

162$$

Step-by-step explanation:

My cousin borrowed $18,000 for a new car loan for 6 years. He told me that at the end of the loan, he had paid $25,560 for the interest and principal. What was the rate of the loan?

Answers

Answer:

6%

Step-by-step explanation:I

I'm going to assume that the interest is compoudning anually and there was only one payment

we know that

FV=PV(1+i)^N

which means taht

25560=18000(1+i)^6

Solve for i and get .06 or 6%

Can you help me please​

Answers

Answer:

Step-by-step explanation:

y ∝  x

y= k*x

As given y =-16, x=4 putt in above formula to get value of K

k = -16/4  = -4

Hence also given that ,

y =20

k = -4

x= ?

x= y/k    (using formula)

x =20 / -4

x = -5

What is the value of x?

Answers

95 I think hope this helps

Answer:

Step-by-step explanation:

Step One

Find the supplement of both exterior angles. They both have angles that add with them to make 180 degrees.

x + 105 = 180            Subtract 105 from both sides

x = 180 - 105

x = 75

y + 148 = 180            Subtract 148 from both sides

y = 180 - 148  

y = 32

Step Two

There are two ways to conclude the problem. You could find the value of the 3rd angle of the triangle, or you could notice that x is going to be the sum of the 2 angles you just found. These two angles are called the remote interior angle.

Method One

x = 32 + 75

x = 107

Method Two

32 + 75 + y = 180

107 + y = 180

y = 180 - 107

y = 73

The sum of x + 73 = 180

x = 180 - 73

x = 107

given: x+y=10 if x=-21, what is y?

Answers

Answer: y = 31

Step-by-step explanation: all you need to do is plug in the x

since x = -21 we can put: -21 + y = 10

now we add 21 to both sides giving us: y = 31

Answer:

(-21,22)

Step-by-step explanation:

x+y=10

x=-21

subtitue the x value

-21+y=2

solve for y

y=22

Then write your answer by ordered pair

(-21,22)

......................help

Answers

Answer:

50.528º

Step-by-step explanation:

tanA = BC/BA

tanA = 17/14

A = 50.528º

WILL CROWN BRAINLIEST Find the quotient.
29,424 divided by 15

Answers

The quotient would be 1,961.6

Answer:

1961.6 as decimal

Step-by-step explanation:

I divided it

What is equivalent to 4x + 6y

Answers

Answer:

Is that all...

Step-by-step explanation:

Is there any other information if not then it is impossible to answer that question.

consider the graph f(x)=3 to the power of x. describe how to graph the transformation f(x-3)+2

Answers

Answer:

shift the graph horizontally to the right for 3 units and then shift vertically up 2 units

Step-by-step explanation:

f(x) = x³  vs f(x-3)+2

f(x-3) will shift the graph horizontally to the right for 3 units

+2: will shift vertically up 2 units

Customers can download books from an online bookstore for $8 each after paying $150 for an e-book reader. The total amount of money a customer spends on x books and the e-book reader can found using f(x)=8x+150.
What is the range of f in this situation?
A.All integers greater than or greater to 0
B.All real numbers greater than or equal to 150
C.(150,158,166,174,...)
D.(158,159,160,161,...)

Answers

Answer:C

Step-by-step explanation: (150,158,166,174,...)

Answer:

c

Step-by-step explanation:

it just is

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if y varies direckly as x and y =12 when x = 4, find y when x = 12. please help me on this for brainliest and a brownie look yall i got 10 math questions if you get all ten right brainlliest so if yall could help a man out here it would be greathere they are 1.)Which of the following best describes the squaring property of equality?A.if a=b,then [tex]a^{2} =b^{2}[/tex]Bif [tex]a\leq b then a^{2} \leq b^{2}[/tex]C[tex]if a\geq b then a^{2} \geq b^{2}[/tex]D[tex]if a \neq b then a^{2} \neq b^{2}[/tex]2.)Solve for x.[tex]\sqrt{x-2} =9[/tex]A.11B.20C.83Dno solution3.)The length of a side of a square is [tex]\sqrt{x^{2}-4 }[/tex] If the area of the square is 12, find x.A.16B.4C.12D.[tex]\sqrt{148}[/tex]4).Solve for x.[tex]5x^{2} +3=-122[/tex]A.no solutionB.5C.5D.255.)solve for x[tex]x^{2} +5=30[/tex]A.25B.[tex]\sqrt{35}[/tex]C.5D.no real solutions6.)The acceleration of an object can be described by the equation[tex]a=\frac{2d}{t} where a is acceleration, d is the distance, and t is time. Suppose an object accelerates for a distance of 15 meters. Which of the following equations relates the time to the acceleration?A.[tex]t=\sqrt{\frac{a}{30} }[/tex]B.[tex]t=\sqrt{\frac{a}{15} }[/tex]C.[tex]t=\sqrt{\frac{30}{a} }[/tex]D.[tex]t=2\sqrt{\frac{30}{a} }[/tex]7.)The acceleration of an object can be described by the equation [tex]a=\sqrt{\frac{2d}{t} }[/tex] , where a is acceleration, d is the distance, and t is time. Suppose an object accelerates at a rate of 5 meters per second squared. Which of the following equations relates the time of the acceleration to the distance?A.[tex]t=\sqrt{10d}[/tex]B.[tex]t=\sqrt{2d}[/tex]C.[tex]t=\sqrt{\frac{5d}{2} }[/tex]D.[tex]t=\sqrt{\frac{2d}{5} }[/tex]8.)Solve for x [tex]\sqrt{2x+8}=2[/tex]A.2B.3C.2D.no solution9.)Solve for x:[tex]\sqrt{3x-2}=2[/tex]A.2B.[tex]-\frac{2}{3}[/tex]C.2D.no solution10.)What is the first step to solve the equation [tex]x^{2} -3=15[/tex]A.Take the square root of [tex]x^{2}[/tex], 3, and 15.B.Square 15.C.Add 3 to both sides of the equation.D.Add 1 to both sides of the equation. can yall help a brother out im in deep sh|t if i dont pass so if your gunna do it do it right thank yall for helpen me out oh and i already tried to look em up so that dont work Select the correct answer.What effect does the repetition of the word both have on the meaning of this text?O A. It explains the causes of the conflict between groups.OB.It encourages unity between nations.O C.It argues for the superiority of the United States.OD.It describes the differences between groups.ResetNext Giving brainliest!!!!!!!!!!! Complete the sentences with the correct form of the verb. Verb: saltar/jump. El ______________ la cuerda(rope) en el gimnasio, el ano pasado. Nosotros ___________ ayer por la maana, y hoy estamos muy cansados. help please! im really confused and stuck some historians have said that the north won the war but the south. won the peace based on the text what do u think this means Need help on this... First one to answer this correctly, I will give you a BRANLIST Which formula is created by completing the square of the equation ax2+bx+c=0?Complete Square EquationPoint-Slope FormQuadratic EquationSlope Formula what are the characteristics of philippine contemporary music? Please help me with this Use the Pythagorean Theorem to find the missing side.Round to the nearest tenth10 m7.5 m The ratio of male to female players in Belfort Tennis Club is 3 : 5. The club has a total of 240 players.In the mixed doubles one male player partners one female player.How many female players will not have a male partner? All forces acting upon a body are equal in magnitudeand opposite in direction. The object is initiallymotionless and will remain motionless.What is this condition called? Finish the lyrics I like the chocolate.... 1. What is a food web?A group of animalsa food chain with two levelsA producer and consumer relationshiphow several food chains are related Describe convection in the mantle (use kid friendly words) Rewrite the function by completing the square.f(x) = x^2 8x 2 What were the South's military strategies?