Question

Please help !!!!!!!!!!!!

Answer 1

Answer:

a=-2

Step-by-step explanation:

If a line segment has one endpoint on the line y=x, then its coordinates are (b,b). The first endpoint of the segment is at point (a,0). We can find the coordinates of the midpoint of this segment as the average value:

$x_{\text{midpoint}}=\dfrac{x_{\text{first endpoint}}+x_{\text{second endpoint}}}{2},\\ \\y_{\text{midpoint}}=\dfrac{y_{\text{first endpoint}}+y_{\text{second endpoint}}}{2}.$

Thus,

$2019=\dfrac{a+b}{2},\\ \\2020=\dfrac{0+b}{2}.$

From the second equation

$b=2\cdot 2020=4040.$

Substitute it into the first equation:

$a+4040=2\cdot 2019,\\ \\a=4038-4040=-2.$