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Tcecarenko [31]
3 years ago
15

Find the value of x so that (-2, 4) is the midpoint between (x, 2) and (-5,3).

Mathematics
2 answers:
QveST [7]3 years ago
6 0

\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{x}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{3}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{-5+x}{2}~~,~~\cfrac{3+2}{2} \right)~~=~~\stackrel{midpoint}{(-2,4)}\implies \begin{cases} \cfrac{-5+x}{2}=-2\\[1em] -5+x=-4\\ \boxed{x=1} \end{cases}

aksik [14]3 years ago
5 0

Answer:

The value of x is 1.

Step-by-step explanation:

Mid point formula : On line connecting to points (x_1,y_1)(x_2,y_2) point (x.y) lies on the mid of line.

x=\frac{x_1+x_2}{2}

y=\frac{y_1+y_2}{2}

We have

(x_1,y_1)(x_2,y_2)=(x,2)(-5,3)

Mid point = (-2,4)

-2=\frac{x+(-5)}{2}

-4=x-5

x=-4+5=1

The value of x is 1.

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