Question

Find the distance between P and Q. If neccessary round to the nearest hundredth.

1. P(-3, -2) and Q(3, 6)



2. P(-2, 7) and Q(-6, 4)



3. P(-4, -13) and Q(16, 8)



4. P(-2, 5) and Q(8, 7)

Answer 1

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Answer 2

distance between two points (x1,y1) and (x2,y2) is \[D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \]
can you apply it and tell me what you get

Answer 3

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Answer 4

number one would be 4 correct?

Answer 5

not really

let's do it step by step

P(-3, -2) and Q(3, 6)

x2-x1 = 3-(-3) = ?

Answer 6

why did you put the -3 behind? why dont you put it first?

Answer 7

you can do that
so it will be
-3-3 = ?

Answer 8

6 correct?

Answer 9

so once i have added it all up the final answer is 91 right?

Answer 10

if you use 3-(-3) it would be 6
if you use -3-3 it would be -6

but for both cases you will get the same answer for the distance since you will square it now

Answer 11

so it would be 9.5........

Answer 12

umm let's continue it step by step to get the correct answer

6^2 = ?

Answer 13

36

Answer 14

correct,
now for the y

y2-y1 = 6-(-2) =?

Answer 15

=8
8^2= 64

Answer 16

correct
36+64=?

Answer 17

100
square root of 100=10

Answer 18

correct answer

Answer 19

so i just do the same for them all?

Answer 20

thank you so much!

Answer 21

yeah do the same for the others
you can tell me what you get to check the answers for you

Answer 22

so the next one would be 5 correct?

Answer 23

correct

Answer 24

and the one after that would be 29?

Answer 25

correct too

Answer 26

and the last one is 10.19?

Answer 27

do you have choices for the answer or you have to write it ?

Answer 28

write it down

Answer 29

ok
so if we apply the formula we get radical(104) = 10.19803...
so if you want to round it to the hundredth it would be 10.2
and if you want to round it to the thousandth it would be 10.198

Answer 30

okay thank you!

Answer 31

glad to help!
and good work :)