Question

How do I Calculate the distance between the points
=G−8,8
and
=F−5,2 in a Cartesian plane. I must write the exact answer in radical form.

Answer 1

You may use the distance formula \[d = \sqrt{(x _{2}-x _{1})^{2}+(y _{2}-y _{1})^{2}} \]

Answer 2

(5-8)^2+(2-8)^2?

Answer 3

Your points are (G-8,8) and (F-5,2) so your x1 would be G-8

Answer 4

same goes for x2

Answer 5

thats what I had
do I change it to positive ?

Answer 6

Does that make sense?

Answer 7

Unless you meant G = (-8,8)

Answer 8

it is (-8,8)

Answer 9

I'm going off with what you gave me as your question is not very clear.

Answer 10

Thought so. Ok so \[d = \sqrt{(x _{2}-x _{1})^{2}+(y _{2}-y _{1})^{2}} \implies \sqrt{(-5-8)^2+(2-8)^2}\]

Answer 11

As your points are G = (-8,8) an F = (-5,2) :) does that make sense?

Answer 12

Yes i thought i typed that

Answer 13

You may do the simplification now, remember it's squared so your negative becomes positive.

Answer 14

Oh notice there's an error, it should be x = +5 and y = -2 so what you wrote is right, I was still using what you gave me.

Answer 15

radical 205

Answer 16

So just to put the final using what your picture tells us, this is what you should have: \[d = \sqrt{(x _{2}-x _{1})^{2}+(y _{2}-y _{1})^{2}} \implies \sqrt{(5-8)^2+(-2+8)^2}\]

Answer 17

\[\sqrt{45}\]

Answer 18

That's good :), and sorry about earlier, it's very frustrating when you keep losing connection and then the information is everywhere.

Answer 19

Is that in simplest form?

Answer 20

Yes, leave it as radical :)

Answer 21

Or I guess you could put it as \[3 \sqrt{5}\]

Answer 22

Yes I believe \[3 \sqrt{5}\] is what they might want :)

Answer 23

Thank you!

Answer 24

Np! Take care.