Question

Calculate the distance between the points H=(3,-1) and E=(8,-5) in the coordinate plane. Give an exact answer (not a decimal approximation).​

Answer 1

Answer:
`√(41)`

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Work Shown:

Use the distance formula.

`d = √((x_1-x_2)^2+(y_1-y_2)^2)\\\\d = √((-1-(-5))^2+(3-8)^2)\\\\d = √((-1+5)^2+(3-8)^2)\\\\d = √((4)^2+(-5)^2)\\\\d = √(16+25)\\\\d = √(41)\\\\`

Or you could use the pythagorean theorem, which is how the distance formula is set up.