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s2008m [1.1K]
1 year ago
15

Need help with both of these please. give 20 points ​

Mathematics
1 answer:
lianna [129]1 year ago
6 0

The following gives the variations:

m= -4p -----------> direct variation

r=9/t----------->indirect variation

n=(1/2)f----------->direct variation

u=2/z----------->indirect variation

The value of y when x=2 is -14

<u>What are direct and indirect variations ?</u>

One quantity directly changes in response to a change in another quantity, which is referred to as direct variation. This suggests that if one quantity increases, the other will follow suit and rise in proportion. In a similar manner, if one quantity declines, the other amount also declines.

When one parameter declines while the other rises or vice versa, this is known as inverse variation. This means that the magnitude or absolute value of one item decreases as the other quantity rises, resulting in a constant value for their product. This item is also referred to as the proportionality constant.

m= -4p -----------> direct variation

r=9/t----------->indirect variation

n=(1/2)f----------->direct variation

u=2/z----------->indirect variation

General equation for an indirect variation:

y = k/x

substitute y=7 and x= -4

7=k/-4

k=7*-4 = -28

To find y when x=2:

Substitute x=2 and k=-28 into the equation

y=-28/2 = -14

To learn more about the variations from the given link

brainly.com/question/5247042

#SPJ1

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Answer:

Option A is correct.

\sin \frac{\pi}{3}=\frac{opposite}{Hypotenuse}=\frac{opposite}{1}=opposite

The length opposite the angle is the vertical distance from the x-axis on the graph

Step-by-step explanation:

Given:

Unit circle is a circle centered at the origin, (0,0) with radius(r) i.,e r= 1.

The angle \frac{\pi}{3} forms an arc of length S and the x-axis and y-axis divide the coordinate plane and the unit circle as it is centered at (0.0).

Also, the terminal side intersect the circle at (x, y).

Now, to find the value of \sin \frac{\pi}{3} ,we will use the trigonometric ratios formulas :

For any right angle,  Sine = \frac{opposite}{Hypotenuse}

Here, hypotenuse = r =1 and the side opposite the angle \frac{\pi}{3} is also called the vertical distance from the x-axis.

therefore, \sin \frac{\pi}{3} =\frac{opposite}{Hypotenuse}=\frac{opposite}{1}=opposite

Also, the length opposite the angle is the vertical distance from the x-axis on the graph






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