Question

What is the distance between point A and C?A) 3.3 unitsB) 3.6 unitsC) 5.2 unitsD) 7.8 units

Answer 1

Distance formula

`d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`

where (x₁, y₁) are the coordinates of the first point and (x₂, y₂) are the coordinates of the second point.

Considering the points A(-4, -4) and C(2, 1), the distance between them is:

`\begin{gathered} d=\sqrt[]{(2-(-4))^2+(1-(-4))^2} \\ d=\sqrt[]{6^2+5^2} \\ d=\sqrt[]{36+25} \\ d=\sqrt[]{61} \\ d\approx7.8\text{ units} \end{gathered}`