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Mathematics 21 Online
OpenStudy (anonymous):

4. (1 pt) The distance traveled by a sound wave through a substance is proportional to time. The graph shows this relationship for several substances. Which substances have a unit rate greater than 2 km/s? Choose all answers that are correct. A. cork B. glass C. lead D. titanium

OpenStudy (anonymous):

OpenStudy (kittiwitti1):

2 km/s means\[\frac{2km}{1second}\]So it's a slope... you just need to calculate the slope for the other lines and see which ones match :-)

OpenStudy (anonymous):

i just want to understand the question plz help

OpenStudy (kittiwitti1):

I already helped you... I can't tell you step-by-step, you won't learn. :-\ Where are you confuse?

OpenStudy (kittiwitti1):

*confused

OpenStudy (anonymous):

what do you mean bye i just need to calculate the slope for the other lines and see which ones match

OpenStudy (kittiwitti1):

2 km/s is a slope, 2 km/ 1 s or 2/1 you know how to calculate slope yes?

OpenStudy (anonymous):

no im trying to learn

OpenStudy (kittiwitti1):

Okay. Well, this is the formula they usually start out with:\[\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\text{with two given points}(x_{1},y_{1}),(x_{2},y_{2})\]

OpenStudy (kittiwitti1):

Are you following? :-)

OpenStudy (anonymous):

yes

OpenStudy (kittiwitti1):

Okay. So they're asking for any lines that have a slope ABOVE that of 2, or 2/1... this will be a hassle but I think you have to solve for the slopes of ALL the lines. ^-^;

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

thank you

OpenStudy (kittiwitti1):

... oh shoot You don't have enough points to get slope by that formula...

OpenStudy (kittiwitti1):

Well in that case we just do the point-slope formula:\[y-y_{1}=m(x-x_{1})\] Same variables apply! The x and y without a little number are left the same; don't change those :-)

OpenStudy (anonymous):

so is it a b d

OpenStudy (kittiwitti1):

o_o Have you applied the point slope formula I gave you?

OpenStudy (anonymous):

yes is a b d correct

OpenStudy (kittiwitti1):

Ignoring the previous since we only have one point per line to work off of...let's try the top line with point (10,60). Here's how it looks in the equation -\[y-60=m(x-10)\]We need to isolate the y... Oh, you did this already? o_e

OpenStudy (anonymous):

where did i get the medal from did you give me one

OpenStudy (kittiwitti1):

The first formula I gave you doesn't work, there's not enough information to put into the equation :-P Yep! For being involved in learning and trying to understand concepts. You earned it :-

OpenStudy (kittiwitti1):

:-D* (wow that was a terrible typo lol) So do you know how to apply the point slope formula to the respective lines? :-)

OpenStudy (anonymous):

ok thank you

OpenStudy (kittiwitti1):

Okay... are you good with the point-slope formula or should I keep going

OpenStudy (anonymous):

can you ckeep going so i fully understad the problem

OpenStudy (anonymous):

keep

OpenStudy (kittiwitti1):

Okay... continuing where we left off, the point-slope formula for the topmost line with point (10,60):\[y-60=m(x-10)\]We need to isolate the y and put the equation into this format:\[y=mx+b\]Can you do that or should I keep going :-P

OpenStudy (anonymous):

i dont understand that part im not good at that part

OpenStudy (anonymous):

wait its not a so does that make it b ,c,d

OpenStudy (kittiwitti1):

Okay, so we have too much on the left side, we want only y, yes?\[y-60=m(x-10)\]Let's first simplify the right side by using the Distributive Property:\[y-60=mx-m(10)\]which leads to\[y-60=mx-10m\]Now, this might be confusing, but we have to reverse the Distributive Property now... also known as "factoring out". We'll be removing x from the right side -\[y-60=m(x-10)\]Are you following so far?

OpenStudy (anonymous):

ok

OpenStudy (kittiwitti1):

Okay, so now we need to have ONLY y on the left side, so we'll move the 60 over by subtracting it from both sides. -(-60) becomes +60...\[y=m(x-10)\] ...wait I think I messed up somewhere

OpenStudy (kittiwitti1):

Let me check and then get back to you on this... @ _ @;

OpenStudy (anonymous):

hold on i fell bad how do i give you a medal

OpenStudy (anonymous):

you are so helpful

OpenStudy (kittiwitti1):

LOL Aww no honey, it's okay ; - ; Though you just hit the blue button by the little medal icon, it says "Best Response" :-D

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

im new here

OpenStudy (anonymous):

so back to the qustion is it b c d

OpenStudy (kittiwitti1):

I need to look at my own work before I get back to you on that... I'm sorry ; -;

OpenStudy (anonymous):

its ok

OpenStudy (kittiwitti1):

> <;;

OpenStudy (kittiwitti1):

Ugghhh.... okay I'm gonna be a lazy butt and Google this lol

OpenStudy (anonymous):

ok

OpenStudy (kittiwitti1):

Uh... I guess you could just use the one point and the origin as the second point, on each line... since all lines start from the origin :-P

OpenStudy (anonymous):

ok

OpenStudy (kittiwitti1):

So it would be (0,0) and (10,60) for the top line. The equation I gave you first should work...\[\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\]

OpenStudy (anonymous):

ok thank you i got the awnser

OpenStudy (kittiwitti1):

Here is a link to the same problem... http://brainly.com/question/891426 Oh? Was the answer right? :-D

OpenStudy (anonymous):

yes thank you

OpenStudy (kittiwitti1):

I believe the answer is Glass and Titanium, so B and D...?

OpenStudy (anonymous):

a b d

OpenStudy (kittiwitti1):

EH?? D:

OpenStudy (kittiwitti1):

That's weird D: because the slope for A) cork is 10/5 = 2 o_e

OpenStudy (anonymous):

it is ok

OpenStudy (kittiwitti1):

I-I mean 5/10 for the cork... Actually, since everything is 10, we just move one decimal space forward... titanium: 60/10 = 6 glass: 40/10 = 4 lead: 12/10 = 1.2 cork: 5/10=0.5 (or 1/2) ??? Yeah... that's just two answers. A doesn't work...

OpenStudy (kittiwitti1):

I don't want you to get the wrong answer ; ~;

OpenStudy (anonymous):

i sumited got80% it was b d

OpenStudy (kittiwitti1):

Yeah... it was only two answers D': I'm sorry

OpenStudy (kittiwitti1):

Oh! Does it let you try again ?? :-D

OpenStudy (anonymous):

its ok

OpenStudy (kittiwitti1):

:-(

OpenStudy (anonymous):

i got 80 % thats good

OpenStudy (kittiwitti1):

Weeeell... I guess :-\ Lol. I grew up being told that anything under 98% sucks. 90% is the lowest I can go without being "bad" x'D But yeah, you're good I guess :-P

OpenStudy (anonymous):

80% and higher is good for 7 th grade i guess

OpenStudy (kittiwitti1):

Alright ^-^

OpenStudy (anonymous):

ok bye

OpenStudy (kittiwitti1):

• D •)/

OpenStudy (anonymous):

what does that mean

OpenStudy (anonymous):

ok bye i have to close it

OpenStudy (kittiwitti1):

it means bye with a cute face lol

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