6. the points below represent a direct variation, find
the missing value between the points.
(6,10) and (24,y)

y=40

Step-by-step explanation:

A direct variation is a relationship between two numbers where the output equals the input times a constant.

The equation for a direct variation can be written as

y=kx

We can figure out the y value of the second coordinate by finding out what the constant (k) is.  We can do that by plugging in the first coordinates into the equation.

y = kx

10 = 6k

10/6 = k

We can solve for y by plugging this constant, and the second coordinate into the equation.

y=kx

y=10/6(24)

y=40

by definition, an arc subtended by a central angle of some given measure has the same measure. so .

yx = 36

step-by-step explanation:

cos f = opposite side/ hypotenuse

cos f = yw / yx

we know cos f = 4/9 and yw =16

4/9 = 16/yx

multiply each side by yx

4/9 yx = 16/ yx * yx

4/9 yx = 16

multiply each side by 9/4

9/4 * 4/9 yx = 16 *9/4

yx = 36