Question

I need help with filling the blanks in!
I work along well!

Answer 1

http://prntscr.com/d5dh7h

Answer 2

H shares the same y component as G and shares the same x component as J
therefore, the coordinate of H should be?

Answer 3

I'm sorry it should be a? correct

Answer 4

The coordinat of H is (a,a)

Answer 5

@sooobored

Answer 6

oh sorry, i forgot i was doing this
yes (a,a) is correct

Answer 7

okay :)

Answer 8

ok the slope between two points can be given by this formula \[m=\frac{y_2 - y_1}{x_2 -x_1}\]

Answer 9

you want to find the slope between the two point H and K

Answer 10

I plug (0,0) and (a,a) into the equation?

Answer 11

yup

Answer 12

and then once I find the slope for both KH and GJ do I multiply them?

Answer 13

together?

Answer 14

that would be the answer for the 4th block

Answer 15

Okay

Answer 16

but it doesnt exactly explain the relation between perpendicular slopes

Answer 17

or in other words, its a bad example to show the relation between perpendicular slopes

Answer 18

ill explain once you write down the two slopes

Answer 19

Okay, give me a second :)

Answer 20

ok, so the first slope
between points (0,0) and (a,a)
\[m_1 = \frac{ a-0}{a-0}= \frac{a}{a} = 1\]
so the slope is 1

Answer 21

as for the other slope,
\[m_2 = \frac{a-0}{0-a}= \frac{a}{-a}\]

Answer 22

Okay. Is it fine I write this down as a note

Answer 23

dont know what you mean by that, but go ahead?

Answer 24

\[\frac{a}{-a} = \frac{-a}{a}= -\frac{a}{a}\]

Answer 25

so the slope of the other 2 points is -1

Answer 26

since a/a = 1

Answer 27

now to explain why this is a bad example to determine perpendicular slopes

Answer 28

So KH slope is 1 and GJ slope is -1

Answer 29

yea

Answer 30

oh wait, i guess you can determine perpendicular by multiplying them and getting 1

Answer 31

-1 i mean

Answer 32

Okay, I see now. Thank you! I got it correct! :)

Answer 33

anyways slopes are considered to be perpendicular when the slopes are negative reciprocals to each other

do you know what that means?

Answer 34

I need help with literally the same question the only difference is mine is a triangle.

Answer 35

I think I have a guess at what it is but I'm not sure.

Answer 36

@narissa tag me and ill get back to you after im done cooking

Answer 37

Okay thank you

Answer 38

:)

Answer 39

ok, so the negative of the variable "a" is "-a"

whereas the reciprocal of the variable "a" is "1/a"

Answer 40

therefore the negative reciprocal of "a" is "-1/a"

Answer 41

Okay basically like abosolute value it's like the opposite

Answer 42

lets say we have a slope of 5

then, the perpendicular slope would be -1/5

Answer 43

er, nothing like absolute values

absolute values just count the number of spaces from zero
or makes a positive a postive and a negative a positive

Answer 44

what im doing here is just changing the signs

Answer 45

another example
if i start with the slope, -3
then the perpendicular slope is 1/3

Answer 46

Okay, I see! :)

Answer 47

one last example
if i start with the slope 8/7
then the perpendicular slope is -7/8

Answer 48

90 degrees is considered perpendicular

and i highly suggest memorizing the slope formula as you will use it a lottttttt

Answer 49

anyways the reason why 1 and -1 is a bad example is because you cant make the distinction between negative reciprocal

Answer 50

I see wher you're coming from.

Answer 51

Anyways, Thanks for explaining to me, it really helps a lot!

Answer 52

yup no problem