QQuestionMathematics
QuestionMathematics
What is the distance between the following points?
$y$
$- 3 - 2$
$\downarrow 1234567$
12 months agoReport content
Answer
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Step 1:: Determine the coordinates of both points.
The given points are (- 3, 2) and (1, - 5).
Step 2:: Recall the distance formula.
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
In a coordinate plane, the distance between two points (x^1, y1) and (x^2, y2) is given by the formula:
Step 3:: Plug in the values of the given points into the formula.
d = \sqrt{(1 - (-3))^2 + ((-5) - 2)^2}
Here, x^1 = - 3, y^1 = 2, x^2 = 1, and y^2 = - 5. So,
Step 4:: Simplify the expression inside the square root.
d = \sqrt{(4)^2 + 49}
Step 5:: Calculate the squares.
d = \sqrt{65}
Final Answer
The distance between the points (- 3, 2) and (1, - 5) is approximately 8.06 units (rounded to two decimal places).
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