The first step is to use the property of equality to combine the constant terms.

Ignore the writing but someone help please

vazorg [7]

Part (a)

The picture alone, without the frame, is 16 by 20

When accounting for the frame, the larger rectangle is 16+2x by 20+2x

We add up all four sides to get the perimeter

(16+2x)+(20+2x)+(16+2x)+(20+2x)

8x+72

or you can use this perimeter of a rectangle formula

P = 2(L+W)

P = 2(20+2x+16+2x)

P = 2(4x+36)

P = 8x+72

Answer: 8x+72

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

Part (b)

Multiply the length and width to find the area of the rectangle.

area = length*width

A = L*W

A = (20+2x)*(16+2x)

A = 20(16+2x) + 2x(16+2x)

A = 320+40x + 32x + 4x^2

A = 4x^2 + 72x + 320

Answer: 4x^2 + 72x + 320

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

Part (c)

Plug x = 2 into the perimeter equation found in part (a)

P = 8x+72

P = 8*2+72

P = 16+72

P = 88

Now plug x = 2 into the area equation found in part (b)

A = 4x^2 + 72x + 320

A = 4(2)^2 + 72(2) + 320

A = 4(4) + 72(2) + 320

A = 16 + 144 + 320

A = 160+320

A = 480

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

Answers:

Perimeter = 88 inches

Area = 480 square inches

3 0

2 years ago

3. Diego drew a scaled version of a Polygon P and labeled it Q.

bogdanovich [222]

Answer:

The scale factor used to go from P to Q is 1/4

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x -----> area of polygon Q

y -----> area of polygon P

$z^{2}=\frac{x}{y}$

we have

$y=72\ units^2$

Find the area of polygon Q

Divide the the area of polygon Q in two triangles and three squares

The area of the polygon Q is equal to the area of two triangles plus the area of three squares

see the attached figure N 2

Find the area of triangle 1

$A=(1/2)(1)(2)=1\ units^2$

Find the area of three squares (A2,A3 and A4)

$A=3(1)^2=3\ units^2$

Find the area of triangle 5

$A=(1/2)(1)(1)=0.5\ units^2$

The area of polygon Q is

$x=1+3+0.5=4.5\ units^2$

Find the scale factor

$z^{2}=\frac{x}{y}$

we have $y=72\ units^2$

$x=4.5\ units^2$

substitute and solve for z

$z^{2}=\frac{4.5}{72}$

$z^{2}=\frac{1}{16}$

square root both sides

$z=\frac{1}{4}$

therefore

The scale factor used to go from P to Q is 1/4

6 0

2 years ago

Find the quotient. (-2) divided by 9

lora16 [44]

Answer:

-0.22222222222222222222222

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

You wish to make an

Leokris [45]

Using the interest formulas, it is found that the values of the investment are given as follows:

Using simple interest, the value will be of $34,000.

Using compound interest, the value will be of $144,461.

Using continuous compounding, the value will be of $148,002.

<h3>Simple Interest</h3>

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

$A(t) = P(1 + rt)$

In which:

P is the initial amount.

r is the interest rate, as a decimal.

In this problem, we have that the parameters are as follows:

P = 9000, r = 0.07, t = 40.

Hence:

$A(t) = 9000(1 + 0.07 x 40) = 34200$

<h3>Compound interest</h3>

$A(t) = P\left(1 + \frac{r}{n}\right)^{nt}$

n is the number of compounding, for quarterly n = 4, then:

$A(t) = 9000\left(1 + \frac{0.07}{4}\right)^{4 \times 40}$

$A(t) = 144461$

<h3>Continuous compounding</h3>

$A(t) = Pe^{rt}$

Hence:

$A(t) = 9000e^{0.07 \times 40} = 148002$

More can be learned about the interest formulas at brainly.com/question/25296782

#SPJ1

7 0

1 year ago

Please help 100 points! Will mark Brainliest. Thank You!

ziro4ka [17]

HERE'S HOW TO DO IT :)

A composite figure is made up of several simple geometric figures such as triangles, rectangles, squares, circles, and semicircles.

<u>To find the area of a composite figure, separate the figure into simpler shapes whose area can be found. Then add the areas together.</u>

<u>(SEE EXAMPLE ATTACHED)</u>

<u />

<u>HERES WHAT WE KNOW ABOUT COMPOSITE FIGURES:</u>

<u>Composite Figures. A figure (or shape) that can be divided into more than one of the basic figures is said to be a composite figure (or shape). For example, figure ABCD is a composite figure as it consists of two basic figures</u>

<u />

<u />

6 0

2 years ago

Read 2 more answers