Question

A • (-3,-4)

B • (5,2)
C • (11,-6)
What is BC?
A.) 10
B.) 8
C.) 3
D.) 5

Answer 1

A.) 10

Explanation:

So draw the points on a graph is the best way to solve the problem, but if you can't then you have to mentally imagine it.

on the X axis B is 5 and C is 11 so the distance or length of the line between the points is 11-5=6

on the Y axis B is 2 and C is -6 so the distance or length of the line between the points is 2-(-6)=8

now you have two lines that can make a right triangle and use the Pythagorean theorem to solve for the long line connecting directly from point B to point C
`x^(2)`+
`y^(2)`=
`z^(2)` so
`6^(2)`+
`8^(2)`=100=
`z^(2)`, z=
`√(100)`=10