Question

will give medal to right answer!!!
Use the following four coordinates to determine which one has a distance of 10 units from point C (1, 2):

(6, 7)
(8, 9)
(7, 10)
(3, 4)

Answer 1

Use the distance formula

Answer 2

how do I do that?

Answer 3

\[d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\]

Answer 4

oh so would it be D?

Answer 5

You're given one set of points: \((1~,~2) \implies (x_1~,~y_1)\)

Answer 6

If \((x_1~,~y_1) = (1~,~2)\) and \((3~,~4) = (x_2~,~y_2)\) Putting these into the distance formula would give you \(d=10\)?

Answer 7

Sorry, I don't get it:(

Answer 8

I'll help you with one of them, then you work the rest out yourself.

Answer 9

okay thanks:)

Answer 10

\[(x_1~,~y_1)= C(1~,~2)~,~ (x_2~,~y_2) = (3~,~4)\]\[d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\]\[d=\sqrt{(3-1)^2+(4-2)^2}\]\[d=\sqrt{2^2+2^2}\]\[d=\sqrt{8}\]\[\sqrt{8} \ne 10\]

Answer 11

Now work the other answers out using the same method and you'll find your answer :)

Answer 12

Okay I'll try. thanks

Answer 13

No problem