Question

Find the distance between points P(4, 4) and Q(9, 3) to the nearest tenth

Answer 1

`5.1` units

Explanation:

(4, 4) & (9, 3)

To find the distance of two points, we use the distance formula:

`d = \sqrt{(x_(2)-x_1)^2 + (y_2-y_1)^2 }`

Let's plug in what we know.

`d = √((9 - 4)^2 + (3 -4)^2 )`

Evaluate the parentheses.

`d = √((5)^2 + (-1)^2 )`

Evaluate the exponents.

`d = √((25) + (1))`

Add.

`d = √((26))`

Evaluate the square root.

`d = √(26)` or
`5.0990` units

Round to the nearest 10th.

`5.1` units

Hope this helps!