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4 years ago

I need the answer to this with the steps, that’d help me out so much thank you❤️.

Mathematics

1 answer:

Hatshy [7]4 years ago

5 0

Answer: The dimensions of the frame:.

W= 2√10 or about 6.3245 inches

L= 4√10 or about 12.6491 inches

Step-by-step explanation:

This would be so much easier if the area of the box was 72. Then the dimensions of the frame would be 6 × 12. So just a little bit larger and more complicated.

Here the equation is w(2w)=80

2w^2 = 80 (2w is easier to work with than L/2).

w^2=40 (^2 means squared)

√w^2 = √40 square root of both sides: Factor 40. Take out√4

W = √4*10

W= 2√10

L= 2w = 4√10

6.3245 × 12.6491 = 80

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Option C

When $(2x - 3)^2$ is subtracted from $5x^2$ then the result is $x^2 + 12x - 9$

<h3>Solution:</h3>

Given that $(2x - 3)^2$ is subtracted from $5x^2$

We have to find the result

Subtraction is a mathematical operation that tells us the difference between two numbers.

When "a" is subtracted from "b", we write in mathematical expression as "b - a"

So $(2x - 3)^2$ is subtracted from $5x^2$ is written mathematically as:

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Expanding the above expression using algebraic identity:

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$\rightarrow 5x^2 - ((2x)^2 -2(2x)(3) + (3)^2)\\\\\rightarrow 5x^2 - (4x^2 - 12x + 9)$

Multiplying the nnegative sign with terms inside bracket

There are two simple rules to remember:

When you multiply a negative number by a positive number then the product is always negative.

When you multiply two negative numbers or two positive numbers then the product is always positive.

$\rightarrow 5x^2 - (4x^2 - 12x + 9)\\\\\rightarrow 5x^2 - 4x^2 + 12x -9\\\\\rightarrow x^2 + 12x - 9$

Hence the result is: $x^2 + 12x - 9$

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