Respuesta :

Space

Answer:

[tex](5,7)[/tex]

General Formulas and Concepts:

Pre-Algebra

  • Order of Operations: BPEMDAS

Algebra I

  • Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Step-by-step explanation:

Step 1: Define

Point (0, 9)

Point (10, 5)

Step 2: Find midpoint

  1. Substitute:                    [tex](\frac{0+10}{2},\frac{9+5}{2})[/tex]
  2. Add:                              [tex](\frac{10}{2},\frac{14}{2})[/tex]
  3. Divide:                          [tex](5,7)[/tex]

Step-by-step explanation:

Hey there!

Given points are: (0,9) and (10,5)

Then;

Using midpoint formula;

[tex](x,y) = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]

Put all values.

[tex](x,y) = ( \frac{0 + 10}{2} , \frac{9 + 5}{2} )[/tex]

Simplify it.

[tex](x,y) = (5,7)[/tex]

Therefore, the midpoint is (5,7)

Hope it helps...