Question

What is the distance from (-2,4) to (0,-6) Round your answer to the nearest hundredth. The answer choices are 9.23, 10.20, 10.98, 11.34 but I get the answer 5.65

Answer 1

what am i doing wrong?

Answer 2

it looks like you "flipped" the x and y
for example, (-2,4) means the x is -2 and they is 4
that point would be two left of the y-axis, and 4 steps up

Answer 3

plus, you really should practice using the distance formula
it's hard to pass a test if you let a computer do the work (and you don't have a computer)
so practice now. It won't hurt, and it's fun to figure things out.

Answer 4

how is that?

Answer 5

that looks closer, but the top point you plotted looks like (-3,4)
and the problem wants (-2,4)

Answer 6

so the triangle has width 2 (not 3) and height 10

using pythagoras, the distance (the hypotenuse) is
\[ \sqrt{2\cdot 2 + 10\cdot 10}\]

Answer 7

you should use a calculator, or type into google
sqrt(104)=

Answer 8

Oh i see where i messed up

Answer 9

Ao the answer is 10.20