QQuestionMathematics
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"
11 months agoReport content
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}
Step 3:: Plug in the values for our points into the distance formula:
distance = \sqrt{((-5) - (-5))^2 + (13 - (-9))^2}
Step 4:: Simplify the expression:
distance = \sqrt{(0)^2 + (22)^2} = \sqrt{0 + 484} = \sqrt{484}
Step 5:: Calculate the square root of 484:
distance = \sqrt{484} = 22
Final Answer
The distance between the points (−5,−9) and (−5,13) is 22 units (option d).
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