Question

Please answer question in one minutes please fast fast

Answer 1

Answer:

R(19, 4)

Step-by-step explanation:

Given the midpoint $\overline R\overline S$ to be (19.5, 9.5) with one ens point S as (20, 15), to get the coordinate of the other end point, we need to use the formula for calculating the midpoint of two coordinates.

for x coordinate;

X = $\frac{x_1+x_2}{2}$

for y coordinate;

Y = $\frac{y_1+y_2}{2}$

where (X, Y) is the midpoint

Given $x_1$ = 20, and $y_1$ = 15, we are to get the coordinate ($x_2$, $y_2$)

(X, Y) = $[\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}]$

(19.5, 9.5) = $[\frac{20+x_2}{2}, \frac{15+y_2}{2}]$

comparing the coordinates;

$\frac{20+x_2}{2} = 19.5\ and \frac{15+y_2}{2} = 9.5\\20+x_2 = 39\\x_2 = 39-20\\x_2 = 19\\\\Similarly;\\15+y_2 = 19\\y_2 = 19-15\\y_2 = 4$

The coordinate R will be (19, 4)