Point b is the image of point of a when a is rotated 90 counterclockwise around the origin point b must be the from the origin as point a

Point B must be the same DISTANCE from the origin as point A.

Step-by-step explanation:

We are given that,

Point A is rotated 90° counter-clockwise about the origin to get the image point B.

As, we know,

Rotation of 90° counter-clockwise about the origin changes the co-ordinate from (x,y) to (-y,x).

So, we see that the image of point A will lie in the 2nd quadrant.

Thus, we have that,

Point B must be the same DISTANCE from the origin as point A.

The correct answer would be DISTANCE

Step-by-step explanation:

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

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!