Question

I need help with this geometry question

Answer 1

Approximately 7.8 units

Explanation:

To find the distance between any two points, we can use the distance formula:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

From the graph, we can see that A is (0,0). Let's let this be x₁ and y₁.

B is (-5,6). Let's let this be x₂ and y₂. So, substitute:

`d=√((-5-0)^2+(6-0)^2)`

Simplify:

`d=√((-5)^2+(6)^2)`

Square:

`d=√(25+36)`

Add:

`d=√(61)`

Take the square root. Use a calculator:

`d\approx7.8`

So, the distance between them is about 7.8 units.

And we're done!