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lbvjy [14]
2 years ago
8

Line A is defined by the equation y=-3x-2

Mathematics
1 answer:
const2013 [10]2 years ago
4 0
THE ANSWER IS: D. y=-3x+11

when two lines are parallel, they share the same slope, which is -3

then plug in the given point into slope intercept form then solve for standard form

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Triangle ABC has vertices at A(-1,1), B(-7,1), and C(-3,6).<br> What is the area of Triangle ABC?
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I think the answer is b

Step-by-step explanation:

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2. Find the value of x and y rounded to the nearest tenth.
SVETLANKA909090 [29]

Using relations in a right triangle, it is found that the values of x and y are given by: x = 24, y = 46.4, given by option a.

<h3>What are the relations in a right triangle?</h3>

The relations in a right triangle are given as follows:

  • The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
  • The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
  • The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

First, we start with the vertical line h that divides y, that is <u>opposite to an angle of 30º, with hypotenuse 34</u>, hence:

sin(30º) = h/34

0.5 = h/34

h = 17.

Then, h is opposite to an angle of 45º, while the hypotenuse is x, hence:

\sin{45^\circ} = \frac{17}{x}

x = \frac{17}{\sin{45^\circ}}

x = 24.

y is divided into two segments.

  • The first is the adjacent to the angle of 30º, while the hypotenuse is 34.
  • The second is adjacent to the angle of 45º, while the hypotenuse is 24.

Then:

\cos{30^\circ} = \frac{y_1}{34}

y_1 = 34\cos{30^\circ} = 29.4

\cos{45^\circ} = \frac{y_2}{24}

y_2 = 24\cos{45^\circ} = 17

Then, the value of y is given by:

y = y_1 + y_2 = 29.4 + 17 = 46.4.

More can be learned about relations in a right triangle at brainly.com/question/26396675

#SPJ1

4 0
2 years ago
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Alina [70]

Answer:

Step-by-step explanation:

volume=1/3\pi  r^2h +2/3\pi r^3[

tex]=1/3\pi *9*4+2/3\pi  *3^3[/tex]

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4 0
3 years ago
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Find f(-2) for the function:<br><br> f(x)= 3x^2-1, x&lt;1<br> x+2, x&gt; 1
azamat
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8 0
3 years ago
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