3 years ago

13-5m=4-6m show work please

1 answer:

4 0

First subtract 4 from both sides
$13 - 4 - 5m = - 6m$

then simplify
$9 - 5m = - 6m$

add -5 to both sides
$9 = - m$

since a variable shouldn't be negative the answer should be
$m = - 9$

(I prefer having the variable on the left side)

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pogonyaev

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3 years ago

Express the product in simplest form.

Dmitry [639]

The product in simplest form is (x - 4)

Solution:

Given expression is:

$\frac{8}{2x+8} \times \frac{x^2-16}{4}$

We have to find the product in simplest form

In the given expression,

2x + 8 = 2(x+ 4)

We know that,

$a^2-b^2=(a+b)(a-b)$

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$x^2-16 = x^2-4^2 =(x+4)(x-4)$

Substitute these in given expression

$\frac{8}{2(x+4)} \times \frac{(x+4)(x-4)}{4}$

Cancel the common factors,

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Thus the product in simplest form is (x - 4)

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3 years ago