Question

Find the distance between the two points. (−4, 7), (4, 0)

Answer 1

Use the distance formula to determine the distance between the two points.Distance=√(x2−x1)2+(y2−y1)2Distance=(x2-x1)2+(y2-y1)2Substitute the actual values of the points into the distance formula.√((4)−(0))2+((7)−(4))2((4)-(0))2+((7)-(4))2Simplify.Subtract 00 from 44 to get 44.√(4)2+((7)−(4))2(4)2+((7)-(4))2Remove parentheses around 44.√42+((7)−(4))242+((7)-(4))2Raise 44 to the power of 22 to get 1616.√16+((7)−(4))216+((7)-(4))2Multiply −1-1 by 44 to get −4-4.√16+(7−4)216+(7-4)2Subtract 44 from 77 to get 33.√16+(3)216+(3)2Remove parentheses around 33.√16+3216+32Raise 33 to the power of 22 to get 99.√16+9Add 1616 and 99 to get 2525.√2525Rewrite 2525 as 5252.√5252Pull terms out from under the radical, assuming positive real numbers.5