Simplify the expression. (x^2 - 9)/(x^2 + 2x - 15)

Mathematics

1 answer:

tia_tia [17]3 years ago

4 0

Answer:

We have

$\frac{x^2-9}{x^2+2x-15}$

$\frac{\left(x+3\right)\left(x-3\right)}{x^2+2x-15}$

$\frac{\left(x+3\right)\left(x-3\right)}{\left(x-3\right)\left(x+5\right)}$

$\frac{x+3}{x+5}$

∴The answer is D

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Find the arc length and area of a sector with radius R =60 inches and central angle equals 30° round your answer to the nearest

Black_prince [1.1K]

Answer:

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(b)942.48 Square Inches

Step-by-step explanation:

Given a sector of a circle with the following dimensions:

Radius of the circle =60 inches

Central Angle of the sector =30°

(a)Arc Length

Arc Length $=\dfrac{\theta}{360^\circ}X2\pi r$

$=\dfrac{30}{360^\circ}X2*60*\pi\\\\=10\pi\\\\=31.42$ Inches (correct to the nearest hundredth)$

(b)Area of the sector

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$=\dfrac{30}{360^\circ}X\pi*60^2\\\\=300\pi\\\\=942.48$ Square Inches (correct to the nearest hundredth)$

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4 years ago

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NeTakaya

2x + 5y = 26....multiply by 3
3x + 4y = 26...multiply by -2
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6x + 15y = 78 (result of multiplying by 3)
-6x - 8y = - 52 (result of multiplying by -2)
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7y = 26
y = 26/7 (or 3 5/7)

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2x + 5(26/7) = 26
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The answer is C

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