Answer:
42.1
Step-by-step explanation:
The formula to calculate distance is √[(x₂ - x₁)² + (y₂ - y₁)²]. Using (22,27) as our x1 and y1, and (2,-10) as our x2 and y2.
Therefore our formula is √[(2 - 22)² + (-10 - 27)²].
(2 - 22)² = 400
(-10 - 27)² = 1369
(Make sure for both of these you put the negative number in parenthesis and the exponent outside them, if you are using a calculator of some sort)
Then we add and square root
√[400 + 1369] = 42.0594816896
The distance between the points (22,27) and (2,-10) is 42.1 units
The coordinates of the points are (22,27) and (2,-10)
The distance is calculated as:
[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2[/tex]
So, we have:
[tex]d = \sqrt{(22 -2)^2 + (27 +10)^2[/tex]
Evaluate
[tex]d = \sqrt{1769[/tex]
Take the square root
d = 42.1
Hence, the distance between the points (22,27) and (2,-10) is 42.1 units
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