Question

What is the distance between these two points? (0,0) (9,12)

Answer 1

The distance between the two given points is 15 units.

Explanation:

For this problem, we will use the distance formula.

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

Now, let's plug in our coordinates.

`d=√((9-0)^2+(12-0)^2)`

Simplify the terms in the parentheses.

`d=√((9)^2+(12)^2)`

Simplify the exponents.

`d=√(81 + 144)`

Add 81 to 144.

`d=√(225)`

Solve the radical.

`d = 15`

The distance between the two points is 15 units.