QQuestionMathematics
QuestionMathematics
"What is the distance between the points (−3,−5) and (−3,−7)?
A. 2 units
B. 4 units
C. 12 units
D. 10 units"
12 months agoReport content
Answer
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Step 1:: Identify the coordinates of the two points.
The coordinates of the first point are (- 3, - 5) and the coordinates of the second point are (- 3, - 7).
Step 2:: Recall that the distance between two points 1$ is given by the formula:
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
Step 3:: Plug in the given coordinates into the distance formula.
d = \sqrt{((-3) - (-3))^2 + ((-7) - (-5))^2}
Here, 1$.
Step 4:: Simplify the expression.
d = \sqrt{(0)^2 + (-2)^2}
Step 5:: Calculate the squares.
d = \sqrt{0 + 4}
Step 6:: Take the square root of 4.
d = \sqrt{4}
Step 7:: The square root of 4 is 2.
Therefore, the distance between the points is 2 units.
Final Answer
The distance between the points (−3,−5) and (−3,−7) is 2 units, so the correct answer is A.
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