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4vir4ik [10]
3 years ago
10

The equation through the point (-2, 5) and is parallel to the line with the equation y=2x+7

Mathematics
1 answer:
andrezito [222]3 years ago
8 0
If a line is parallel to y=2x+7 the line must have the same slope but different y- intercept. The equation y=2x+7 has a slope (m) of 2 and y- intercept of 7.

By using the point slope formula and the point (-2,5) we have:

y = m(x -x1) + y1 \\  \\ y = 2(x - ( - 2)) + 5 \\  \\ y = 2(x + 2) + 5 \\  \\ y = 2x + 4 + 5 \\  \\ y = 2x + 9
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4 years ago
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Step-by-step explanation:

x/5 = 10

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3 years ago
There are values of t so that sin t=.35 and cos t=.6
NISA [10]

Recall the fundamental rule of trig:

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So, there exists an angle t such that

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if and only if

\sin^2(t)+\cos^2(t)=0.6^2+0.35^2=1

Working out the numbers, we get

0.6^2+0.35^2=0.36+0.1225=0.4825\neq 1

So, there doesn't exist a number t such that

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Monica paid sales tax of $1.80 when she bought a new bike helmet. If the sales tax rate was 9%, how much did the store charge fo
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Answer:

$20 dollars

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1.80 / .09 (9% in decimal form)

= 20

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