Question

Find the distance between the points (0, 10) and (–9, 1).

Answer 1

d=sqrt[(x1-x2)^2+(y2-y1)^2]
(0,10) x1=0 y1=10 and (-9,1) x2=-9 y2=1
now d=sqrt[(-9-0)^2+(1-10)^2]=12.72792206 units

Answer 2

The distance between the points (0, 10) and (–9, 1) is 12.73 units.

Given the following data;

Points ($x_1, x_2$) = 0, -9

Points ($y_1, y_2$) = 10, 1

To find the distance between the points;

In Mathematics, the distance between two points on a plane is calculated by using the formula;

$Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2 }$

Substituting the points into the formula, we have;

$Distance = \sqrt{(0 - [-9])^2 + (10 - 1)^2} \\\\Distance = \sqrt{(0 + 9)^2 + (9)^2}\\\\Distance = \sqrt{9^2 + 9^2}\\\\Distance = \sqrt{81 + 81}\\\\Distance = \sqrt{162}$

Distance = 12.73 units

Therefore, the distance between the points is 12.73 units.

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