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3 years ago

10

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

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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Solve the following x/5=10<br>

sergey [27]

Answer:

x = 50

Step-by-step explanation:

x/5 = 10

Multiply both sides of the equation by 5.

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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:

$\sin^2(x)+\cos^2(x)=1 \quad\forall x \in \mathbb{R}$

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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3 years ago

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

Anna11 [10]

Answer:

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Step-by-step explanation:

1.80 / .09 (9% in decimal form)

= 20

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