8) give the equation of the blue line, the red line, a line that is parallel to the red line and a line that is perpendicular to the red line. (4 points)

Blue - y=-2

Red-

Parallel to Red-

Perpendicular to Red-

Step-by-step explanation:

The slope intercept of a line is y=mx +b where

The Blue line intercepts the y-axis at -2 so b=-2. It has no vertical change since it is a horizontal line. This means the slope, m, is 0. m=0. It's equation is y=0x-2

y=0-2 since anything times 0 is 0.

y=-2.

The red line intercepts the y-axis at 2 so b=2. It intercepts the x-axis at (-3,0). Between these two intercepts we can find the slope:

Slope:

We substitute and

The red line has equation .

Parallel lines have the same slope with a different y-intercept. So we write a line where m=2/3 and b is something else.

Perpendicular lines have a negative reciprocal slope to the original. So we write the line where m/-3/2.

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0

hi there!

the answer to this question is d: 35

step-by-step explanation:

5 to the power of 2 is 25

2 multiplied by 5 is 10

then you add the 2 numbers and you get 35