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3 years ago

write an equation of the line that is parallel to the given line and that passes through the given point. y=5/2x - 10; (-6,-29)

1 answer:

6 0

Write the standard form of a line, the slope is 5/2 since they are parallel and then replace the coordinates.
y-(-29) = 5/2 (x-(-6)) -> y=5/2x-14

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Find the angles between -pi and pi that satisfy:<br><br> (−√3) sin(v)+cos(v)=√3

MAXImum [283]

Observe that

$\sin\left(\dfrac\pi6-v\right)=\sin\dfrac\pi6\cos v-\cos\dfrac\pi6\sin v=\dfrac12\cos v-\dfrac{\sqrt3}2\sin v$

In the original equation, divide both sides by $\dfrac12$ :

$-\sqrt3\sin v+\cos v=\sqrt3\implies\dfrac12\cos v-\dfrac{\sqrt3}2\sin v=\dfrac{\sqrt3}2$

$\implies\sin\left(\dfrac\pi6-v\right)=\dfrac{\sqrt3}2$

Next,

$\sin x=\dfrac{\sqrt3}2\implies x=\dfrac\pi3+2n\pi,x=\dfrac{2\pi}3+2n\pi$

where $n$ is any integer. Then

$\sin\left(\dfrac\pi6-v\right)\implies v=-\dfrac\pi6-2n\pi,v=-\dfrac\pi2-2n\pi$

Fix $n=0$ to ensure $-\pi$ , so that

$v=-\dfrac\pi6,v=-\dfrac\pi2$

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4 years ago

A pair of vertical angles has measures (3x+4)° and (7x-9)°<br> What is the value of x?

Andrei [34K]

Since they are vertical they are equal to each other.

3x + 4 = 7x - 9
4 = 4x - 9
13 = 4x
3.25 = x

So the value of x is 3.25.

Hope this helps :)

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3 years ago

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Answer:

Geometric relationships control the orientation of an element with respect to another element or reference plane. For example, you can define a tangent relationship between a line and an arc. ... For example, a connect relationship and a tangent relationship can be used where an arc meets a line. (make me brainliest)

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Y = x^2 - 4 <br> y= x + 2

Snezhnost [94]

Hopes this help:

Answer: x = 3, -2 & y = 5, 0

Hopes this is the answer that you where looking for if not I am so sorry.

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2 years ago