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3 years ago

6

What is a simplified expression for the perimeter of the polygon?

2 answers:

serious [3.7K]3 years ago

7 0

Answer:

D. 5x^2 + 2y^2 + 12x + 5y

Step-by-step explanation:

6x + 2y + y^2 + 6x + 2y + y^2 + 4x^2 + x^2 + y

6x + 6x = 12x

12x + 2y + y^2 + 2y + y^2 + 4x^2 + x^2 + y

2y + 2y + y = 5y

12x + 5y + y^2 + y^2 + 4x^2 + x^2

y^2 + y^2 = 2y^2

2y^2 + 4x^2 + x^2 + 12x + 5y

4x^2 + x^2 = 5x^2

2y^2 + 5x^2 + 12x + 5y

5x^2 + 2y^2 + 12x + 5y

alexandr1967 [171]3 years ago

3 0

Answer:

$5 {x}^{2} + 2 {y}^{2} + 12x + 5y$

Step-by-step explanation:

Add all of the sides of the polygon:

$6x + 2y + {y}^{2} + 6x + 2y + {y}^{2} + 4 {x}^{2} + {x}^{2} + y$

Combine like terms.

$12x + 5y + 2 {y}^{2} + 5 {x}^{2}$

$5 {x}^{2} + 2 {y}^{2} + 12x + 5y$

You might be interested in

How are radicals and rational exponents related?

icang [17]

Answer:

Any radical in the form can be written using a fractional exponent in the form . The relationship between and works for rational exponents that have a numerator of 1 as well. For example, the radical can also be written as , since any number remains the same value if it is raised to the first power.

Step-by-step explanation:

8 0

3 years ago

Just number 3 is fine please but if you could also 4

PIT_PIT [208]

Answer:

3. r = -8

4. x = -5

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

2(-5r + 2) = 84

<u>Step 2: Solve for </u><em><u>r</u></em>

Divide 2 on both sides: -5r + 2 = 42
Subtract 2 on both sides: -5r = 40
Divide -5 on both sides: r = -8

<u>Step 3: Check</u>

<em>Plug in r into the original equation to verify it's a solution.</em>

Substitute in <em>r</em>: 2(-5(-8) + 2) = 84
Multiply: 2(40 + 2) = 84
Add: 2(42) = 84
Multiply: 84 = 84

Here we see that 84 does indeed equal 84.

∴ r = -8 is a solution of the equation.

<u>Step 4: Define equation</u>

264 = -8(-8 + 5x)

<u>Step 5: Solve for </u><em><u>x</u></em>

Divide both sides by -8: -33 = -8 + 5x
Add 8 to both sides: -25 = 5x
Divide 5 on both sides: -5 = x
Rewrite: x = -5

<u>Step 6: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

Substitute in<em> x</em>: 264 = -8(-8 + 5(-5))
Multiply: 264 = -8(-8 - 25)
Subtract: 264 = -8(-33)
Multiply: 264 = 264

Here we see that 264 does indeed equal 264.

∴ x = -5 is a solution of the equation.

8 0

3 years ago

How are I supposed to do this ?

ad-work [718]

Answer:

Step-by-step explanation:

1. binomial polynomial

2. 2 terms

3. 4 is the constant term

4. - 1/10 x^3 is the leading term

5. -1/10 is the leading coefficient.

8 0

3 years ago

Which is better: having a stock that goes up 30% on Wednesday than drops 20% on Thursday, or a stock

finlep [7]

Step-by-step explanation:

If the stock goes up 30%, it's multiplied by $1.3$ .

The reason is that $x + .3 \times x=1.3\times x$

If the stock goes down 20%, it's multiplied by $0.8$

The reason is that $x - .2 \times x = 0.8 \times x$

If the stock goes down 30%, it's multiplied by $0.7$

The reason is that $x - .3 \times x = 0.7 \times x$

If the stock goes up 40%, it's multiplied by $1.4$ .

The reason is that $x + .4 \times x=1.4\times x$

So

If you increase it by 30% and then drop it by 20%, it means you are multiplying it by $1.3$ and then multiplying it by $.8$ . In other words:

$1.3 \times 0.8=1.04$

So, the net gain is = .04

Assume the original value = 500

Increase it by 30% and it becomes 650

Decrease 650 by 20% and it becomes 520

So, the net gain = 20

Verification:

$500 \times .04=20$

And

If you drop it by 30% and then increase it by 40%, you are multiplying it by .7 and then multiplying it by 1.4. In other words:

$.7 \times 1.4=0.98$

So, the net loss is = 1 - 0.98 = .02

Assume the original value = 500

Decrease it by 30% and it becomes 350.

increase 350 by 40% and it becomes 490.

So, the net loss is = 10

Verification:

$500 \times .02=10$

Keywords: stock, loss, gain

Learn more loss and gain from brainly.com/question/14456161

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5 0

3 years ago

Help me plzzzzzzzzzzz

Brrunno [24]

Answer:

i know the answer it is the second one dude if i am wrong sorry

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers