Question

Write the equation 2x+7y-4=0 in normal form. than find the length of the normal and the angle it makes with the positive x-axis

Answer 1

what do you mean by normal form?

Answer 2

do you know when equations are written like this" 2x/squrt69 + 7y/squrt69-4/squrt69=0

Answer 3

That recent question has nothing to do with the first right?

Answer 4

no i mean their on the same work sheet but no

Answer 5

they're

Answer 6

So let's try to solve one at a time huh?

Answer 7

ok :)

Answer 8

7y = 4 - 2x

y = 4/7 -2x/7

So slope = -2/7

There's another way to check that

Answer 9

wait why is slope important?

Answer 10

hello?

Answer 11

Geez, slope is important because it shows the rate of change of a function.

Answer 12

sorry im worried i missed a bunch of school and my friends notes are not helpful

Answer 13

so we have to graph it?

Answer 14

FORGOT THE X ARRRGGGGHHHHHHHHHHHHH!!!!!!!!!!!

Answer 15

y = 4/7 -2x/7

If x = 1 then y = (4/7) -2*(1/7)
y = 2/7
y = 0.2857142857

Produces an equation of
Y = -0.2857142857 X + 0.5714285714
If we multiply both sides by 7 we get

7y = -2X + 4

Answer 16

ok

Answer 17

We have to find the angle now.
If you missed a lot of class(es) I'd say you should review that material first.
(I could still calculate the angle for you) :-)

Answer 18

i found the online lesson and now im even more confused ._.

Answer 19

i can fail one unit ill live... probably

Answer 20

Since slope is -2/7 we know it slopes from "high" on the left to "low" on the right.
I think the angle would be the arc sine of -2/7 which would be
-16.602 Degrees
Well how soon do you have to finish this?

Answer 21

no i figured it out, because i only need normal form ist jsut taking AB and C and putting them into some weird equation, thank you for trying to help :) i just have to have it doen tonight! much thanks

Answer 22

I can graph it for you - really not much trouble - computre will do it.

Answer 23

the angle isnt the biggest deal but i got the angle is =74 and the length of the normal is =4/sqrt53 =.55 units

Answer 24

but with the angle being 16 the normal length is either 4/squrt13 or 4/squrt9

Answer 25

could you by chance explain the one that no body answered?
it's which is the standard form of the equation p=18 Phi=5pi/4

Answer 26

Here's the graph

Answer 27

thank you

Answer 28

I redid it now it's only one line showing (don't know why - I'm getting tired)
Here's the data to go with it:
X Y
-10 24
-9 22
-8 20
-7 18
-6 16
-5 14
-4 12
-3 10
-2 8
-1 6
0 4
1 2
2 0
3 -2
4 -4
5 -6
6 -8
7 -10
8 -12
9 -14
10 -16

Answer 29

its ok you can sleep i think ive got the hang of it :)

Answer 30

I believe I did NOT get the equation for the graph correctly.
ARRGGHHHH!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
My Fault
I'll re-redo it - very close to finishing it

Answer 31

Here we go yet again - it has the right slope!!!!!!!!!!!!!!!!!!!!!
Data
X Y
-10.00 3.43
-9.00 3.14
-8.00 2.86
-7.00 2.57
-6.00 2.29
-5.00 2.00
-4.00 1.71
-3.00 1.43
-2.00 1.14
-1.00 0.86
0.00 0.57
1.00 0.29
2.00 0.00
3.00 -0.29
4.00 -0.57
5.00 -0.86
6.00 -1.14
7.00 -1.43
8.00 -1.71
9.00 -2.00
10.00 -2.29

Answer 32

its ok its ok i got that asnwer right theres no worries hun

Answer 33

In the words of Inspector Clousseau "Once again I have failed where others have succeeded." LOL

Answer 34

i just got stumped on the angle ones because the directions were confuseing but ill get it its ok ;)

Answer 35

3x-2y-1=0 is 326 degrees
5x=y-12=0 is 11 degrees
4x=3y-4=0 is 37 degrees

Answer 36

those are the ones i got wrong and their correct answers

Answer 37

To get the angle - you'd need the slope which is -2/7
Then look up the arc sine of -2/7 (or -0.2857142857)

okay - guess I'll get going

Answer 38

sweet dreams! btw i got a 100 on the practice quiz just now!

Answer 39

okay - well done !!!!
must get going see ya