Question

Find the distance between (-1,-3);(11,7)

Answer 1

I am not sure how to do this :(

Answer 2

Use the distance formula \(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Answer 3

ok i have that formula but i don't understand the little 1 and 2 under the x and y i am used to exponents...

Answer 4

note that it doesn't matter which point you choose as (x1,y1) — you just have to be consistent and use the values from the same point as the "1s"

Answer 5

x1 = -1, y1 = -3
x2 =11, y2 = 7

Answer 6

Think of your first pair as _1 and your second pair as _2

Answer 7

oh

Answer 8

hang on let me work it out and you can check me

Answer 9

I believe it is 4?

Answer 10

How did you get that?

Answer 11

no. x2 = 11, x1 = -1, x2-x1=11-(-1) = 12. 12^2 = 144.
do the same with y. retry your work :-)

Answer 12

oh
i didnt noticed each parentheses were squared

Answer 13

\[d = \sqrt{(11-(-1))^2+(7-(-3))^2}\]

Answer 14

hmm i am confused when i do it all through i get like 15 and some change lol

Answer 15

Good, nice work.

Answer 16

um but how do i work out that remainder since it is not a perfect square?

Answer 17

What makes you think it is a perfect square?

Answer 18

i said it's not -_-

Answer 19

Ah, my bad. You already have the decimal form of your root, do you not?

Answer 20

no
i think its supposed to be like x times the square root of x

Answer 21

Well, if you work it out, \(d = \sqrt{(11-(-1))^2+(7-(-3))^2}\) into \(d = \sqrt{(11+1))^2+(7+3))^2}\), you get \(d = \sqrt{(12)^2+(10))^2}\rightarrow d = \sqrt{144+100} \rightarrow \sqrt{244}\)

Answer 22

yes got all that on paper

Answer 23

Okay, so what does 244 break into, I like to start with 2s if it's not obvious. \(\sqrt{2*122}\) => \(\sqrt{2*2*61}\) so I already have a couple of terms I can remove.

Answer 24

\(2\sqrt{61}\) and I know of no other reduction for this short of a calculator to simplify into a decimal.

Answer 25

yeah, that's as far as it goes (and where I'd leave it, unless a decimal was requested)

Answer 26

ah wait i see they will take an answer form of square root of 244

Answer 27

@Jhannybean that's not correct.

Answer 28

No?..

Answer 29

11+1 is not 18. :)

Answer 30

ahaha My bad.. yes i see it.

Answer 31

lol i got it thanks guys

Answer 32

Oh my goodness.

Answer 33

@Jhannybean probably your 12 looked like an 18...

Answer 34

You're welcome @countonme123

Answer 35

It probably did....