3 years ago

Are the expressions below equivalent? 3(4x + 8) 12x + 24

Mathematics

1 answer:

pantera1 [17]3 years ago

3 0

Answer:

they are both equal 12x+8 is equal to 12x+24

Step-by-step explanation:

distribute:

3 x 4x = 12x 3 x 4 = 24

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miskamm [114]

Answer:

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Step-by-step explanation:

First, you need to know

1. Double-angle formula:

cos(2x) = $cos^{2}x - sin^{2}x$

2. Pythagorean identity:

$cos^{2}x + sin^{2}x = 1$

Back to your problem, replacing the variable by the above:

$5cosx-sin\frac{x}{2}+7 = 0$

$5(cos^{2}\frac{x}{2}-sin^{2}\frac{x}{2}) - 2sin\frac{x}{2} + 7 = 0$ By Double-angle formula

$5(1 - 2sin^{2}\frac{x}{2}) - 2sin\frac{x}{2} + 7 = 0$ By Pythagorean identity

Given $y = \frac{x}{2}$

$5(1-2sin^{2}y) - 2siny + 7 = 0$

$10sin^{2}y+2siny-12=0$

$5sin^{2}y+siny-6=0$

$(5siny + 6)(siny - 1)=0$ , we know -1 < sinx < 1, for every x ∈ R

$siny = 1, y =90$

$y = \frac{x}{2}$

$x = 180$

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You deposit $2000 in a savings account earning 5% simple interest. How long will it take for the balance of the account to be $3

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A year and a half or 18 months

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What value in place of the question mark makes the polynomial below a perfect square trinomial? 9x2+?x+64

serg [7]

9x² + bx + 64
\/(9x²) = 3x
\/84 = 8
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Svetlanka [38]

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Step-by-step explanation:

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Gnom [1K]

Answer:

r = 2

Step-by-step explanation:

slope = (y2 - y1)/(x2 - x1)

(-1, -5)

(r, -9)

-5 - (-9) / -1 - r = 2

4 / -1 - r = 2

r = -2

-1 - (-3) = 2

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Please let me know if I've gotten anything wrong!

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3 years ago