Point c is the midpoint of ab. point a has coordinates (2,4)and point c has coordinates (5,0) what are the coordinates of point b?

The coordinates of point B is (8,-4)

Step-by-step explanation:

Midpoint of a line segment: It is the point on the line segment that divides the segment in two congruent segments.

Since it is given that C is the midpoint of Line segment AB.

Mid-point of a segment of end points and is, C= .

As, given the coordinates of A and C are (2,4) and (5,0)

then,  we have , ;  and

to find the coordinates of .

Simplify:

⇒

to solve for we have,

or

or = -4

so, the values of and

Therefore, the coordinates of point B is (8,-4)

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x