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Mathematics 19 Online
OpenStudy (anonymous):

How do i solve this?

OpenStudy (anonymous):

OpenStudy (anonymous):

perpendicular

OpenStudy (anonymous):

12x+4y=16..............1 27x+9y=40..........2 from equation 1 12x=16-4y x=16-4y/12 now put the value of x in 2nd equatipn.

OpenStudy (anonymous):

i need to know how to solve.. not just the answer @best.shakir

OpenStudy (anonymous):

ok so just use substitution ?

OpenStudy (anonymous):

yes

ganeshie8 (ganeshie8):

emily, question is asking to tell whther the two lines given are "parallel" or "perpendicular" or "neither" right ?

ganeshie8 (ganeshie8):

find slope of each line, if they are equal => lines are parallel

ganeshie8 (ganeshie8):

u know how to find slope ?

OpenStudy (anonymous):

Yes, its -3 correct? (sorry i was afk)

OpenStudy (anonymous):

or are they perpendicular?

ganeshie8 (ganeshie8):

np

ganeshie8 (ganeshie8):

find slope for both lines

ganeshie8 (ganeshie8):

both u getting -3 ?

OpenStudy (anonymous):

yes

ganeshie8 (ganeshie8):

if both slopes are equal, they are parallel

ganeshie8 (ganeshie8):

|dw:1343893762882:dw|

OpenStudy (anonymous):

ok, i get it now. Havent done that kind of problem in so long, i forgot.

OpenStudy (anonymous):

i have another, different tho, you have time?

ganeshie8 (ganeshie8):

yeah np ;) sure post... .

ganeshie8 (ganeshie8):

and for perpendicular lines, if you multiply both slopes, you will get -1

OpenStudy (anonymous):

ganeshie8 (ganeshie8):

-4x-5y = -15 ----(1) 2x + 2y = 6 ------(2)

ganeshie8 (ganeshie8):

multiply second equation with 2

ganeshie8 (ganeshie8):

-4x-5y = -15 ----(1) 4x + 4y = 12 ------(2)

ganeshie8 (ganeshie8):

add both equations

ganeshie8 (ganeshie8):

4x cancels

ganeshie8 (ganeshie8):

-5y+4y = -15+12

ganeshie8 (ganeshie8):

-y = -3 y=3

OpenStudy (anonymous):

ok , i knew that i had to do that.. i was just second guessing my self this is most stuff we learned in the beginning.

ganeshie8 (ganeshie8):

put y=3 in second equation, 2x + 2(3) = 6 2x + 6 = 6 2x = 0 x= 0

ganeshie8 (ganeshie8):

you refreshing algebra I is it...

ganeshie8 (ganeshie8):

nice :)

OpenStudy (anonymous):

yes, we have our final exam tomorrow :), have time for a word problem?

OpenStudy (anonymous):

i can post new question so i can give u medals

ganeshie8 (ganeshie8):

wow you will do best :) good luck :))

ganeshie8 (ganeshie8):

np... u already gave me so many medals... so its okay lol

OpenStudy (anonymous):

haha ok :3

OpenStudy (anonymous):

ganeshie8 (ganeshie8):

anyways... post it new... so that others can also have a look n help

ganeshie8 (ganeshie8):

oh ok. u already posted... let me c

ganeshie8 (ganeshie8):

Easy..

ganeshie8 (ganeshie8):

time = distance/speed

ganeshie8 (ganeshie8):

u know this relation right ?

OpenStudy (anonymous):

oh . see? i forget the simple stuff

ganeshie8 (ganeshie8):

we need to find speed of Chuck, lets call that x

ganeshie8 (ganeshie8):

time travelled by Chuck = distance /speed = 66/x -------- (1)

ganeshie8 (ganeshie8):

Dana's speed is 6mph less than chuck, so dana speed = x-6 time travelled by Dana = distance/speed = 54/(x-6) -----------(2)

ganeshie8 (ganeshie8):

since time travelled by both Chuck & Dana is same, (1) = (2)

ganeshie8 (ganeshie8):

\(\frac{66}{x} = \frac{54}{x-6}\)

ganeshie8 (ganeshie8):

\(66(x-6) = 54x\) 66x- 396 = 54x 12x = 396 x = 33

ganeshie8 (ganeshie8):

Chuck travels at 33 mph

OpenStudy (anonymous):

ok, sweet. thanks . you're really helping me out. im just trying to make sure i fully understand for tommorow. i will open a new question now :)

ganeshie8 (ganeshie8):

ok ty.. :)

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