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1. what is the distance between (2,6) and (5,10)? 5 a 25 7 √34 identify…

Question

  1. what is the distance between (2,6) and (5,10)?

5
a
25
7
√34
identify the top view for the image below.
2.

Explanation:

Step1: Identify the coordinates

Let \((x_1,y_1)=(2,6)\) and \((x_2,y_2)=(5,10)\)

Step2: Use the distance formula

The distance formula is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)
Substitute the values: \(d=\sqrt{(5 - 2)^2+(10 - 6)^2}\)

Step3: Calculate the squares

\((5 - 2)^2=3^2 = 9\) and \((10 - 6)^2=4^2 = 16\)
So \(d=\sqrt{9 + 16}\)

Step4: Sum and take square - root

\(9+16 = 25\), then \(d=\sqrt{25}=5\)

Answer:

A. 5