Ask your own question, for FREE!
Mathematics 8 Online
OpenStudy (imsleeziboii):

HELP!!!

OpenStudy (imsleeziboii):

OpenStudy (imsleeziboii):

@Agl202

OpenStudy (imsleeziboii):

@Michele_Laino

OpenStudy (faiqraees):

for lines to be perpendicular their GRADIENTS have to satisfy the equation gradient of line 1 * gradient of line 2 = -1 Now work it out.

OpenStudy (stormer15):

Perpendicular: negative reciprocal slopes

OpenStudy (imsleeziboii):

i dont know what any of that means lol

OpenStudy (stormer15):

Example: if the slope of 1 line 2, then the slope of the line perpendicular has to be \(-\dfrac{1}{2}\)

OpenStudy (faiqraees):

for lines to be perpendicular their GRADIENTS have to satisfy the equation gradient of line 1 * gradient of line 2 = -1 Now work it out. Do you get this?

OpenStudy (imsleeziboii):

no

OpenStudy (faiqraees):

okay do you know what are the gradients of the line given

OpenStudy (imsleeziboii):

I dont know what gradients are

OpenStudy (faiqraees):

the coefficients with x

OpenStudy (imsleeziboii):

is the answer A?

OpenStudy (faiqraees):

now dont just start guessing answers

OpenStudy (faiqraees):

do you understand what a gradient is a straight line equation

OpenStudy (imsleeziboii):

well half of 8 is 4 and you can add 4 to 1 and get 5 so A makes sense

OpenStudy (imsleeziboii):

Yeah the numbers with x

OpenStudy (faiqraees):

no A is not correct

OpenStudy (faiqraees):

let me just show why A is not correct Okay for A the equations are \[\large\rm y= 8x+5 \]\[\large\rm y= -8x+5 \] Since the gradient is the number with x the gradient in first line is 8 and the second line is -8. Now put them in the equation. \[\large\rm m_1*m_2=-1 \]\[\large\rm 8*-8=-1 \]\[\large\rm -64=-1 \] Since -64 doesnt equal to -1 these equations are not perpendicular.

OpenStudy (faiqraees):

Now work out the same reasoning for all the other equations and you will have your answer

OpenStudy (imsleeziboii):

im trying to figure these out as quick as possible because i dont have alot of time to do these

OpenStudy (imsleeziboii):

and i dont get it

OpenStudy (faiqraees):

practice makes perfect and practice do takes a hell of a time. And what part you dont get?

OpenStudy (imsleeziboii):

all of it

OpenStudy (imsleeziboii):

im timed and i am not gonna be able to finish

OpenStudy (faiqraees):

okay just apply this Gradient = - 1/gradient If the gradient of the first line is 8, then the other should be -1/8. If that doesn't happen they aren't perpendicular.

OpenStudy (imsleeziboii):

No nevermind its D.

OpenStudy (faiqraees):

correct is c

OpenStudy (imsleeziboii):

Wait C is right? how?

OpenStudy (faiqraees):

first line gradient 5, second line gradient -1/5

OpenStudy (imsleeziboii):

ohh.

OpenStudy (imsleeziboii):

thanks

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!