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dalvyx [7]
3 years ago
9

How do I solve this?

Mathematics
1 answer:
Korolek [52]3 years ago
6 0
<span><span>   (<span>x−8</span>)</span>2</span><span>=<span><span>(<span>x+<span>−8</span></span>)</span><span>(<span>x+<span>−8</span></span>)</span></span></span><span>=<span><span><span><span><span>(x)</span><span>(x)</span></span>+<span><span>(x)</span><span>(<span>−8</span>)</span></span></span>+<span><span>(<span>−8</span>)</span><span>(x)</span></span></span>+<span><span>(<span>−8</span>)</span><span>(<span>−8</span>)</span></span></span></span><span>=<span><span><span><span>x2</span>−<span>8x</span></span>−<span>8x</span></span>+64</span></span><span>=<span><span><span>x2</span>−<span>16x</span></span>+<span>64

</span></span></span><span>(x−8)2=x2−82Step 1: Simplify both sides of the equation.x2−16x+64=x2−64Step 2: Subtract x^2 from both sides.x2−16x+64−x2=x2−64−x2−16x+64=−64Step 3: Subtract 64 from both sides.−16x+64−64=−64−64−16x=−128Step 4: Divide both sides by -16.−16x−16=−128−16x=8</span>
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Simplify the rational expression. State any restrictions on the variable.
ExtremeBDS [4]

we are given

\frac{(n^4-10n^2+24)}{(n^4-9n^2+18)}

Firstly, we will factor numerators and denominators

\frac{(n^4-10n^2+24)}{(n^4-9n^2+18)}=\frac{(n^2-6)(n^2-4)}{(n^2-3)(n^2-6)}

we can see that

n^2 -6 is factor on both numerator and denominator

so, it will get cancelled

and n^2 -6 can not be equal to 0

so, one of restriction is

n^2-6\neq 0

n\neq -+ \sqrt{6}

we can simplify it

\frac{(n^4-10n^2+24)}{(n^4-9n^2+18)}=\frac{(n^2-4)}{(n^2-3)}

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3 0
3 years ago
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Juli2301 [7.4K]

Answer:

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Step-by-step explanation:

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The length of the shadow of a pole on level ground increases by 90m when the angle of elevation of the sun changes from 58° to 3
siniylev [52]
<h3>Answer: Approximately 119.76 meters</h3>

===================================================

Work Shown:

x = starting length of the shadow

y = height of the pole

tan(angle) = opposite/adjacent

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1.6003345 = y/x

1.6003345x = y

x = y/1.6003345

x = (1/1.6003345)y

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-------------------------

When the angle changes, the adjacent side gets 90 meters longer

tan(angle) = opposite/adjacent

tan(36) = y/(x+90)

0.72654253 = y/(0.62486936y+90)

0.72654253(0.62486936y+90) = y

0.453994166y + 65.3888277 = y

65.3888277 = y-0.453994166y

65.3888277 = 0.546005834y

0.546005834y = 65.3888277

y = 65.3888277/0.546005834

y = 119.758478075162

y = 119.76

The height of the pole is about 119.76 meters.

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