Respuesta :

Answer:

10.8

Step-by-step explanation:

We use the distance formula for this:

[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

Using the ordered pairs (-3, 7) and (6, 1),

[tex]d=\sqrt{(1-7)^2+(6--3)^2}\\\\=\sqrt{(-6)^2+(9)^2}\\\\=\sqrt{36+81}=\sqrt{117}\approx 10.8[/tex]

The length of PQ is √117.

What is Distance- formula?

The distance formula for two coordinates P( x, y) and Q(a, b) is

D= √(x-a)² + (y-b)².

Given:

P(-3, 7) and Q(6, 1)

Using Distance - formula

PQ= √(6+3)² + ( 1-7)²

PQ= √9² + 6²

PQ = √81 + 36

PQ = √117

Learn more about this concept here:

https://brainly.com/question/8668076

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