Question

What is the distance between (4,7) and
(2, 2)?

Answer 1

√29 units

Explanation:

The distance between two points is:

`\displaystyle{d=√(\Delta x^2 + \Delta y^2)}\\\\\displaystyle{d=√((x_2-x_1)^2+(y_2-y_1)^2)}`

Substitute in x-values and y-values:

`\displaystyle{d = \sqrt{ {(4 - 2)}^(2) + {(7 - 2)}^(2)} } \\ \\ \displaystyle{d = \sqrt{ {2}^(2) + {5}^(2)} } \\ \\ \displaystyle{d = √(4 + 25)} \\ \\ \displaystyle{d = √(29) }`

Therefore, the distance between two points is √29 units.