Graph the solution of the inequality -3 < 2x – 7 < 5 on the number line.

Mathematics

1 answer:

Gelneren [198K]3 years ago

7 0

Answer:2<x<6

Step-by-step explanation:

Solve for x

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The coordinates of midpoint M and endpoint Q of a segment are M(–7, 8) and Q(–19, 30). Find the coordinates of the other endpoin

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Answer:

Step-by-step explanation:

Use the midpoint formula to solve:

$M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

We know the midpoint and one set of coordinates, so filling those in:

$(-7,8)=(\frac{x+(-19)}{2},\frac{y+30}{2})$

Since the -7 is the x coordinate of the midpoint, we set the x part of the equation equal to -7 and solve for x, and then do the same for y. The 2 equations are:

$-7=\frac{x-19}{2}$ and $8=\frac{y+30}{2}$ We solve each one of these to get the x and y coordinates of the other endpoint. In both cases, multiply both sides of the equations by 2 and then solve by either adding or subtracting.