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mel-nik [20]
3 years ago
14

Please help need an explanation Solve |3 - x| = 8

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
8 0
<span><span>|3−x|</span>=8 

</span><span><span>|<span>−x+3</span>|</span>=8</span>Solve Absolute Value.<span><span>|<span>−x+3</span>|</span>=8

</span>We know either   <span><span>−x+3</span>=8 </span>or<span><span>−x+3</span>=−8</span><span><span>−x+3</span>=8    </span>(Possibility 1)   <span><span><span>−x+3</span>−3</span>=8−3                      </span>(Subtract 3 from both sides)<span>−x=5</span>−x−1=5−1  <span>

</span><span><span>        </span></span>(Divide both sides by -1)   <span>x=−5</span><span><span>−x+3</span>=−8   </span>(Possibility 2)   <span><span><span>−x+3</span>−3</span>=<span>−8−3     </span></span>(Subtract 3 from both sides)   <span>−x=−11</span><span><span>−x−1</span>=<span>−11−1                                                          </span></span>(Divide both sides by -1)x=11Answer:<span><span>x=<span>−<span><span>5 or </span>x</span></span></span>=<span>11

(math papa) </span></span>
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Answer:

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Step-by-step explanation:

We're given two pieces of information:

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We also need to apply one more piece of information that is not provided here, and that is the relationship between the perimeter of a rectangle, and it's length and width:

p = 2l + 2w

We can solve for w by plugging the other two values into the last:

p = 2w + 2l\\96 = 2w + 2(2w + 4)\\96 = 2w + 4w + 8\\88 = 6w\\3w = 44\\w = \frac{44}{3}\\w = 14\frac{2}{3}

Now we can find the length by plugging w into the first equation:

l = 2w + 4\\l = 2(14\frac{2}{3}) + 4\\l = 29\frac{1}{3} + 4\\l = 33\frac{1}{3}

One third of  a foot is four inches, so the width is 14'8" and the length is 33'4"

To make sure our answer is correct, we should plug those numbers back into the area equation and see if we're right:

p = 2l + 2w\\p = 2(33\frac{1}{3}) + 2(14\frac{2}{3})\\p = 66\frac{2}{3} + 29\frac{1}{3}\\p = 96

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