~~ is multiple choice ~~

which sequences have a common ratio of 1/3?

a) -9, 3, -1, 1/3, -1/9, . . .
b) -1/2, -1/6, -1/18, -1/54, -1/162, . .
c) 900, 300, 100, 100/3, 100/9, . .
d) 100, 300, 900, 2700, 1800, . . .

b and c

Step-by-step explanation:

a) -9, 3, -1, 1/3, -1/9, . . . . .

-9 * (-1/3) = 3

3 * (-1/3) = -1

Here the common ratio is -1/3

b) -1/2, -1/6, -1/18, -1/54, -1/162, . . . .

-1/2 * 1/3 = -1/6

-1/6 * 1/3 = -1/18

It has common ratio of 1/3  //Answer

c) 900, 300, 100, 100/3, 100/9, . . . .

900 * 1/3 = 300

300 * 1/3 = 100

Common ratio of 1/3  //Answer

d) 100, 300, 900, 2700, 1800, . . . . .

100 * 3 = 300

300 * 3 = 900

Common ratio of 3

//Hope it helps

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)