Question

chapter 10 review
score: 0/100 answered: 0/10
question 1
find the distance between the points (-1,-3) and (4,-2). round to two decimal places.
distance =
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Explanation:

Step1: Identify the coordinates

Let \((x_1,y_1)=(-1,-3)\) and \((x_2,y_2)=(4,-2)\)

Step2: Apply the distance formula

The distance formula is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)
Substitute the values: \(d=\sqrt{(4-(-1))^2+(-2 - (-3))^2}\)
\(=\sqrt{(4 + 1)^2+(-2+3)^2}\)
\(=\sqrt{5^2+1^2}\)
\(=\sqrt{25 + 1}\)
\(=\sqrt{26}\approx5.10\)

Answer:

\(5.10\)