Question

What is the distance between the two points graphed below? If necessary, round your answer to two decimal
places.

Answer 1

http://media.apexlearning.com/Images/200703/27/b3d9fd14-0ee5-46dd-95b0-8a031fcb6190.gif

Answer 2

@YanaSidlinskiy

Answer 3

To find the length of a, you calculate the difference between the y values. In other words, you go from -4 to -2, which is a distance of *how many units?*
For b, it's the same thing except with x values. You go from 1 to 3 which is how many units?

Answer 4

umm...3 units

Answer 5

Once you find the difference between those, you need to square them, using:
a^2 + b^2 = c^2 (where c is the hypotenuse)
a^2 + b^2 = (distance between points)^2

Answer 6

There's 3 units and what's the other one?

Answer 7

2?

Answer 8

3^2 is 9
2^2 is 4
4+9 is 13..
Square root of 13 is about 3.61

Answer 9

So that is it?

Answer 10

@Elsa213 @ShadowLegendX
Is that right?
Yes I think so

Answer 11

@YanaSidlinskiy Are you trying to solve for this, like it's a right triangle

Using Pythagorean's Theorem?

Answer 12

Yea... Don't tell me I'm wronggggg

Answer 13

I won't, but I'll do it correctly

Answer 14

So it's wrong?

Answer 15

thank you for trying Yana

Answer 16

I mean aren't you supposed to use and draw it in like a right triangle for it to be easier?

Answer 17

(-2,-4)
(3, 1)
(x, y)

The difference between both the x, and the y, is 5 units.

a and b, in a^2 + b^2 = c^2, would both be 5.

Answer 18

So that's where you square them both? And then finish it off like I did?

Answer 19

\[a^2 + b^2 = c^2\]

\[5^2 + 5^2 = c^2\]

\[25 + 25 = c^2\]

\[50 = c^2\]

Take the root, of both sides

\[c = \sqrt 50 \rightarrow c = 7.07106781187\]

Answer 20

oh man im getting a headache....i so dont like math lol

Answer 21

What part do you not understand?

Answer 22

just the last part

Answer 23

http://prntscr.com/ctu8wk

Answer 24

Hey it's Pythagrean Theorem
Or however you spell it lol.. THat's what we just did except with different numbers....

Answer 25

We used Pythagorean Theorem, which is

\[a^2 + b^2 = c^2\]

Where, a and b are the two sides, and c is the hypotenuse, or the sloped line that we are solving the distance for

Answer 26

ugh and i am no were near finishing my work i have over 50 questions and i only have 24 done ;_;

Answer 27

okay... i get that

Answer 28

We just found the two sides by observing the coordinates, then solved for the third side

Answer 29

So the answer is.....

Answer 30

7.18 .....

Answer 31

If you understood this, you would know I gave it to you 5min ago ;_;

Answer 32

Hey I understood Ig? Lol

Answer 33

c = 7.07

Answer 34

rounded to two decimal points

Answer 35

oh....srry im a little slow on the uptake :P