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QUESTION IMAGE

find the distance between the points (-7, 3) and (5, 3). distance:

Question

find the distance between the points (-7, 3) and (5, 3). distance:

Explanation:

Step1: Identify the distance formula

For two - dimensional points $(x_1,y_1)$ and $(x_2,y_2)$, the distance formula is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $x_1=-7,y_1 = 3,x_2 = 5,y_2 = 3$.

Step2: Substitute the values into the formula

Since $y_1=y_2 = 3$, the formula simplifies to $d=\sqrt{(5-(-7))^2+(3 - 3)^2}=\sqrt{(5 + 7)^2+0^2}=\sqrt{12^2}=12$.

Answer:

12