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2 years ago

What does it mean to say two fractions are equivalent?

2 answers:

6 0

It means that the fractions are equal in a way even though they look different
example: 1/2 and 2/4 are equivalent because they are both half

Sever21 [200]2 years ago

4 0

Yeѕ. lιĸe ιғ yoυ нave 50 dollarѕ and yoυ are тryιng тo collecт 100. 50/100.
ιтѕ eqυal тo 1/2 or тo 2/4.
even ғracтιonѕ and decιмalѕ are ѕoмeтιмeѕ eqυιvalenт... lιĸe 3/4=75%.

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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:

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

$Width = x + 5$

<u>(1) The perimeter of the triangle</u>

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 $10x^2 - 14x + 28$

<u>(2) The area of the triangle</u>

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

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Roman55 [17]

Answer:

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