Q
QuestionMathematics

"What is the distance between the points (−5,−9) and (−5,13)? a. 4 units b. 11 units c. (no value provided) d. 22 units"
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Answer

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Step 1
: Identify the coordinates of the two points given in the problem.

The first point is P₁=(- 5, - 9) with x₁=- 5 and y₁=- 9. The second point is P₂=(- 5, 13) with x₂=- 5 and y₂= 13.

Step 2
: Recall that the distance between two points (x₁, y₁) and (x₂, y₂) is given by the formula:

distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Final Answer

The distance between the points (−5,−9) and (−5,13) is 22 units (option d).