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linear functions unit test// unit 6 lesson 10

9. what is the slope of the line that passes through the pair of points (3/2, -2) and (-3, 7/3)?

a. -27/26
b. -26/27
c. 26/27
d. 27/26

Step-by-step explanation:

slope = (y2 - y1) / (x2 - x1)

(3/2,-2)x1 = 3/2 and y1 = -2

(-3,7/3)x2 = -3 and y2 = 7/3

now we sub

slope = (7/3 - (-2) / (-3 - 3/2) = (7/3 + 2) / (-3 - 3/2) =

             (7/3 + 6/3) / (-6/2 - 3/2) = (13/3) / (- 9/2) =

             13/3 * -2/9 = - 26/27 <

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

: )