(Need answer quickly.) The table represents a linear function. What is the slope of the function?

Miranda enlarged a picture twice as shown below, each time using a scale factor of 3.

lyudmila [28]

Answer:

The area of the second enlargement is 1,944 square inches

The area of the second enlargement is (3 squared) squared times the original area.

The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor

Step-by-step explanation:

Verify each statement

1) The area of the first enlargement is 72 square inches.

The statement is false

Because

we know that

The original dimensions of the rectangle are

length 6 inches and width 4 inches

so

First enlargement

Multiply the original dimensions by a scale factor of 3

$Length: 6(3)=18\ inches\\Width: 4(3)=12\ inches$

The area of the first enlargement is

$18(12)=216\ in^2$

2) The area of the second enlargement is 1,944 square inches

The statement is true

Multiply the dimensions of the first enlargement by a scale factor of 3

$Length: 18(3)=54\ inches\\Width: 12(3)=36\ inches$

The area of the second enlargement is

$54(36)=1,944\ in^2$

3) The area of the second enlargement is (3 squared) squared times the original area.

The statement is true

Because

The original area is 24 square inches

$[(3^2)]^2(24)=1,944\ in^2$

4) The area of the second enlargement is 3 times the area of the first enlargement

The statement is false

Because

$3(216)=648\ in^2$

so

$648\ in^2 \neq 1,944\ in^2$

5) The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor

The statement is true

Because

The square of the scale factor is 3^2=9

and the ratio is equal to

$\frac{216}{24}=9$

8 0

3 years ago

Read 2 more answers

If there are 52 successful outcomes in a sample with a size of 80, what is the

Nat2105 [25]

Answer:

D. 0.65

Step-by-step explanation:

divide 52 by 80.

52/80 = 0.65

6 0

3 years ago

Read 2 more answers

Find the sum of the first 63 terms of –19, -13, -7 …

Degger [83]

You can tell this is an arithmetic sequence because it is a list of terms beginning with -19 that increase by 6 each term. Because of this, we can use the formula for the sum of an arithmetic sequence, which is:

$S = \dfrac{n}{2}[2 a_1 + d(n - 1)]$

$n$ is the number of terms in the sequence
$a_1$ is the starting term
$d$ is the common difference among the terms

In this case, we can see that $n = 63$ , $a_1 = -19$ , and $d = 6$ . Thus, we can use the formula:

$S = \dfrac{63}{2} [2(-19) + 6(62)] = 10,521$

Our answer is 10,521.

7 0

3 years ago

What is the area, in square feet, of the shaded region? Remember A(Circle) = πr²

Inga [223]

I know a=pi*r^2 anyways, the triangle is:4*8/2=16 The semicircle is: 4pi because 4 is diameter, /2 then square u still get 4. 4*3.14 = 12.56 12.56 + 16 = 28.56.

4 0

4 years ago

(45 x 54)/5 What is the answer?

horrorfan [7]

Answer:

486

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers