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valentinak56 [21]
2 years ago
5

A piece of cloth is folded into a square with a side length measuring x inches. When it is unfolded, it has an area of x2 + 27x

+ 162 square inches. Which could be the dimensions of the rectangular piece of cloth when it is unfolded? Remember, the area of a rectangle can be determined using the formula A = lw.
A).length = (x + 9) inches and width = (x + 3) inches
B).length = (x − 3) inches and width = (x − 9) inches
C).length = (x + 18) inches and width = (x + 9) inches
D).length = (x − 9) inches and width = (x − 18) inches
Mathematics
1 answer:
Dmitriy789 [7]2 years ago
7 0
Our task here is to find possible factors of <span>x^2 + 27x + 162.
We need to check out possible factors of 162 first.  Examples are:
2(81), 3(54), 6(27), 9(18), and so on.  Notice that 9 and 18 add up to 27, so that the factors (x+9) and (x+18) produce x^2 + 27x + 162 when mult. together.</span>
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(6x^3+x^5+2x^2−7−4x)−(3x^2−5x+2+5x^5+3x^4)
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Distribute the Negative Sign:<span>=<span><span><span><span><span><span>6<span>x3</span></span>+<span>x5</span></span>+<span>2<span>x2</span></span></span>−7</span>−<span>4x</span></span>+<span><span>−1</span><span>(<span><span><span><span><span>3<span>x2</span></span>−<span>5x</span></span>+2</span>+<span>5<span>x5</span></span></span>+<span>3<span>x4</span></span></span>)</span></span></span></span><span>=<span><span><span><span><span><span><span><span><span><span><span><span>6<span>x3</span></span>+<span>x5</span></span>+<span>2<span>x2</span></span></span>+</span>−7</span>+</span>−<span>4x</span></span>+<span><span>−1</span><span>(<span>3<span>x2</span></span>)</span></span></span>+<span><span>−1</span><span>(<span>−<span>5x</span></span>)</span></span></span>+<span><span>(<span>−1</span>)</span><span>(2)</span></span></span>+<span><span>−1</span><span>(<span>5<span>x5</span></span>)</span></span></span>+<span><span>−1</span><span>(<span>3<span>x4</span></span>)</span></span></span></span><span>=<span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span>6<span>x3</span></span>+<span>x5</span></span>+<span>2<span>x2</span></span></span>+</span>−7</span>+</span>−<span>4x</span></span>+</span>−<span>3<span>x2</span></span></span>+<span>5x</span></span>+</span>−2</span>+</span>−<span>5<span>x5</span></span></span>+</span>−<span>3<span>x4</span></span></span></span>
Combine Like Terms:<span>=<span><span><span><span><span><span><span><span><span><span>6<span>x3</span></span>+<span>x5</span></span>+<span>2<span>x2</span></span></span>+<span>−7</span></span>+<span>−<span>4x</span></span></span>+<span>−<span>3<span>x2</span></span></span></span>+<span>5x</span></span>+<span>−2</span></span>+<span>−<span>5<span>x5</span></span></span></span>+<span>−<span>3<span>x4</span></span></span></span></span><span>=<span><span><span><span><span><span>(<span><span>x5</span>+<span>−<span>5<span>x5</span></span></span></span>)</span>+<span>(<span>−<span>3<span>x4</span></span></span>)</span></span>+<span>(<span>6<span>x3</span></span>)</span></span>+<span>(<span><span>2<span>x2</span></span>+<span>−<span>3<span>x2</span></span></span></span>)</span></span>+<span>(<span><span>−<span>4x</span></span>+<span>5x</span></span>)</span></span>+<span>(<span><span>−7</span>+<span>−2</span></span>)</span></span></span><span>= <span><span><span><span><span><span>−<span>4<span>x5</span></span></span>+<span>−<span>3<span>x4</span></span></span></span>+<span>6<span>x3</span></span></span>+<span>−<span>x2</span></span></span>+x</span>+<span>−9</span></span></span>
Answer:<span>=<span><span><span><span><span><span> −<span>4<span>x5</span></span></span>−<span>3<span>x4</span></span></span>+<span>6<span>x3</span></span></span>−<span>x2</span></span>+x</span>−<span>9</span></span></span>
8 0
3 years ago
Read 2 more answers
What number : Increased by 130% is 69 ?
e-lub [12.9K]
<h2>Answer:<u> 158.7 is the answer</u></h2><h2><u>or it can be</u> <u>89.7</u></h2>

Step-by-step explanation:

<h2><u>69 + Percentage increase = </u></h2><h2><u>69 + (130% × 69) = </u></h2><h2><u>69 + 130% × 69 = </u></h2><h2><u>(1 + 130%) × 69 = </u></h2><h2><u>(100% + 130%) × 69 = </u></h2><h2><u>230% × 69 = </u></h2><h2><u>230 ÷ 100 × 69 = </u></h2><h2><u>230 × 69 ÷ 100 = </u></h2><h2><u>15,870 ÷ 100 = </u></h2><h2><u>158.7</u></h2><h2><u /></h2><h2><u /></h2><h2><u>69 increased by 130% = 158.7 </u></h2><h2><u>Absolute change (actual difference): </u></h2><h2><u>158.7 - 69 = 89.7</u></h2>
4 0
3 years ago
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