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.
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
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