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evablogger [386]
3 years ago
5

What equation results from completing the square and then factoring?

Mathematics
1 answer:
Vinil7 [7]3 years ago
6 0

Answer:

\large\boxed{D.\ (x-4)^2=55}

Step-by-step explanation:

(a-b)^2=a^2-2ab+b^2\qquad(*)\\\\\\x^2-8x=39\\\\x^2-2(x)(4)=39\qquad\text{add}\ 4^2=16\ \text{to both sides}\\\\\underbrace{x^2-2(x)(4)+4^2}_{(*)}=39+16\\\\(x-4)^2=55

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4x-2y=-1 -4x+4y=-2 please help
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<span>4x-2y=-1
</span><span>Slope = 2 
x-intercept = -1/4
y-intercept = 1/2

</span><span>-4x+4y=-2
</span><span>Slope = 1
x-intercept = 1/2
y-intercept = 1/-2 </span>
3 0
3 years ago
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What is the answer to [(x²+4x)-2]²
Rudik [331]

Answer:

x^{4} + 8x³ + 12x² - 16x + 4

Step-by-step explanation:

Given

[(x² + 4x) - 2 ]² ← simplify contents of bracket

= (x² + 4x - 2)² = (x² + 4x - 2)(x² + 4x - 2)

Each term in the second factor is multiplied by each term in the first factor, that is

x²(x² + 4x - 2) + 4x(x² + 4x - 2) - 2(x² + 4x - 2) ← distribute parenthesis

= x^{4} + 4x³ - 2x² + 4x³ + 16x² - 8x - 2x² - 8x + 4 ← collect like terms

= x^{4} + 8x³ + 12x² - 16x + 4

6 0
3 years ago
This is my last question it’s due at midnight can I please get help in a hurry
Sophie [7]

N = 9

explanation: If you tilt triangle FGH to where it matches triangle PQR, 9 is matched with N.

more help:

Q = G

10.5 = 7

P = F

H = R

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3 years ago
Please help me with this trigonometry question:
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Answer:

The distance from A to B is 736.2 to the nearest tenth foot

Step-by-step explanation:

In ΔCAB

∵ m∠CAD = 30° ⇒ exterior angle of Δ at vertex A

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∵ m∠ABC = 20°

∴ m∠ACB = 30° - 20° = 10°

We will use the sin rule to find the distance AB

∵ \frac{sin20}{1450}=\frac{sin10}{AB}

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8 0
3 years ago
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