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3 years ago

Help me solve this equation? I'm stumped!

Mathematics

1 answer:

NARA [144]3 years ago

4 0

T think the answer is B

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1. Use precise mathematical language to justify and explain each mathematical process.

iris [78.8K]

Mathematical processes are the steps used to determine the result of operations

The perimeter of the rectangle is $10x^2 - 14x + 28$
The area of the rectangle is $5x^3 +17x^2 -31x + 45$

The dimension of the rectangle is given as:

$Length = 5x^2 - 8x + 9$

$Width = x + 5$

(1) The perimeter of the triangle

This is the sum of the side lengths of the rectangle.

So, we have:

$Perimeter = 2 \times (Length + Width)$

This gives

$Perimeter = 2 \times (5x^2 - 8x + 9 + x + 5)$

Collect like terms

$Perimeter = 2 \times (5x^2 - 7x + 14)$

Open brackets

$Perimeter = 10x^2 - 14x + 28$

Hence, the perimeter of the rectangle is $10x^2 - 14x + 28$

(2) The area of the triangle

This is the product of the dimensions of the rectangle.

So, we have:

$Area = Length \times Width$

This gives

$Area = (5x^2 - 8x + 9) \times (x + 5)$

Open brackets

$Area = 5x^3 - 8x^2 + 9x +25x^2 - 40x + 45$

Collect like terms

$Area = 5x^3 - 8x^2 +25x^2+ 9x - 40x + 45$

$Area = 5x^3 +17x^2 -31x + 45$

Hence, the area of the rectangle is $5x^3 +17x^2 -31x + 45$

Read more about areas and perimeters at:

brainly.com/question/15656646

6 0

2 years ago

Apply the distributive propertyto create an equivalent expression. 1/2(6e-3f-3/4)

poizon [28]

3e - $\frac{3}{2}$ f - $\frac{3}{8}$

multiply each of the terms in the parenthesis by $\frac{1}{2}$

$\frac{1}{2}$ (6e - 3f - $\frac{3}{4}$ )

= 3e - $\frac{3}{2}$ f - $\frac{3}{8}$

8 0

3 years ago

Read 2 more answers

Solve for x X/8 - 3/4 = 5/8

igomit [66]

X= 11
When you add 3/4 to 5/8, you get 11/8. Then you have to multiply each side with (8/1). You get (88/8). That equals 11.

6 0

2 years ago

Read 2 more answers

A rectangle is shown. The length of the rectangle is labeled 18 inches. The width of the rectangle is labeled 6 inches.

Airida [17]

I think the answer is D.

3 0

3 years ago

Read 2 more answers

4 Move the digits in 625,134 to create a new number.Move the 2 so it is worth 1_10as much.Move the 3 so it is worth 10 times as

Jet001 [13]

Answer:

452,316

Step-by-step explanation:

Why do you need a step by step, and i dont see how you would get one.

5 0

2 years ago