Calculate the distance between the points C=(-1, -3) and H=(2, -8) in the coordinate plane.
Give an exact answer (not a decimal approximation).

Answer:

The distance between two points C=(-1, -3) and H=(2, -8) is 5.831

Step-by-step explanation:

We need to calculate the distance between two points C=(-1, -3) and H=(2, -8)

The formula used to find distance between two points is:

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have [tex]x_1=-1, y_1=-3, x_2=2, y_2=-8[/tex]

Putting values in formula and finding distance:

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(2-(-1))^2+(-8-(-3))^2}\\Distance=\sqrt{(2+1)^2+(-8+3)^2}\\Distance=\sqrt{(3)^2+(-5)^2}\\Distance=\sqrt{9+25}\\Distance=\sqrt{34}\\Distance=5.831[/tex]

So, the distance between two points C=(-1, -3) and H=(2, -8) is 5.831

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