Question

Brenda is going from $(-4,5)$ to $(5,-4)$, but she needs to stop by the origin on the way. How far does she have to travel?

Answer 1

Answer:

$\boxed{D = 6.4 units}$

Step-by-step explanation:

She stops by (0,0)

She further needs to travel to (5,-4)

Let's calculate the distance using the Distance Formula:

Distance Formula = $\sqrt{(x2-x1)^2+(y2-y1)^2}$

D = $\sqrt{(5-0)^2+(-4-0)^2}$

D = $\sqrt{(5)^2+(-4)^2}$

D = $\sqrt{25+16}$

D = $\sqrt{41}$

D = 6.4 units

She needs to travel 6.4 units more.