A line segment is dilated by a scale factor of 2 centered at a point NOT on the line segment. Which statement regarding the relationship between the given line segment and its image IS TRUE?
A) The line segments are perpendicular, and the image is one-half of the length of the given line segment.
B) The line segments are perpendicular, and the image is twice the length of the given line segment.
C) The line segments are parallel, and the image is twice the length of the given line segment.
D) The line segments are parallel, and the image is one-half of the length of the given line segment.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

answer: 0.26

i used the calculator on google

wertyujhgfdcvb

step-by-step explanation: