Question

What is the perimeter of the triangle below? Round to the nearest hundredth.

Answer 1

Here, lemme help you. I'll be right back, just need to pick up some graph paper. :D

Answer 2

@NickDantzlerward yay!!! okay :)

Answer 3

Boy! Sorry I took so long...Had to help another person. I'm solving now.

Answer 4

its totally fine!

Answer 5

Here: Look at this!

Answer 6

Does that give you any ideas? If not, I'll do another step.

Answer 7

How's it goin'?

Answer 8

im kind of getting it. sort of can you do another step?

Answer 9

@NickDantzlerward

Answer 10

Sure.

Answer 11

Oooookay! Does this help?

Answer 12

Just keep in mind: When you find the unknown side of each triangle I made, you're really finding the sides of the main triangle, ABC.

Answer 13

oh ok!!!

Answer 14

You sound like you get it! :D Anything y'don't understand?

Answer 15

nope i think i get it!! thank you! would you mind helping me with one more?

Answer 16

Sure. Hit me.

Answer 17

Write the equation of a line in slope-intercept form passing through (2, 7) and (-2, 9).

Answer 18

Alright! Well, for problems like these, I like to use the very-helpful Slope Formula. I'll show you what that looks like:

Answer 19

see thats the part i get stuck on plugging in the numbers!

Answer 20

Okay! Well, let's see. The first thing I see when I look at the formula is the y2. Now think about our set of coordinates this way: (x1, y1) and (x2, y2).
Our given set of coordinates is: (2, 7) and (-2, 9).

See something?
I think I do.

x1 = 2
x2 = -2
y1 = 7
y2 = 9

Now that I know this, I can go back to the formula and plug in the numbers.

I'd get this: (9)-(7) / (-2) - (2)

When I solve that out, I get an equation with my needed slope!

Answer 21

10.5?

Answer 22

Let me see. 9-7 = 2. -2-2 = -4. 2/-4 = 1/-2. We'd get -1/2.

So our equation becomes y = (-1/2)x + b.

Answer 23

We want to find where our line hits the y-intercept; that's what b represents. Without b, we don't actually know where our line is situated! All we have to do to find b is take one of our sets of coordinates, (2,7) if you want, and substitute y and x (in our equation, y = (-1/2)x + b ) with these values. Try it!

Answer 24

After we substitute, then we can solve the equation for b and plug that known value for b back into our old equation, y = (-1/2)x + b.

Answer 25

You will then have your completed equation. Ain't it lovely?

Answer 26

Sounds like you wanted another step. Let me see...

So we know now that y = (-1/2)x + b. I'm going to take the set of coordinates: (2,7), and substitute for y and x. This'll gemme b!

y = (-1/2)x + b
7 = (-1/2)(2) + b
8 = b,
Sooooo: y = (-1/2)x + 8. Dat is da answer.