Question

Help with Finding the Angle Between Two Lines

Answer 1

Find the angle between the following two lines:

x − 2y = 5

6x + 2y = 7

(round your answer to the nearest tenth of a degree).

Answer 2

What I have so far

Answer 3

\[M _{1}=-1/2 M _{2}=-3\]

Answer 4

\[\tan ^{-1}(\frac{ -3-1/3 }{ 1+(-3)(-1/2) }\]

Answer 5

use vectors and the cross product.

Answer 6

\[\tan^{-1}(\frac{ 7/2 }{ 5/2 })\]

Answer 7

i meant -1/2 not -1/3 s:

Answer 8

54.5 degrees is the angle?

Answer 9

hey, -3-1/3 = -10/3 , not 7/2

Answer 10

but i thought it was -3-(-1/2)?

Answer 11

you posted on 7 box above,

Answer 12

Yeh I screwed up typing here shoulda been -3-(-1/2) which still isnt 7/2 i messed up

Answer 13

if it is so, you are ok

Answer 14

egh not ok s: im lost now

Answer 15

i got 45 degrees which isnt to choose from

Answer 16

why? \(tan^{-1} (7/5) = 54.46 \) , it is correct

Answer 17

welp no I screwed up some where else. Because answers to choose from:



θ≈ 32.4°

θ ≈ 51.6°

θ≈ 108.1°

θ≈ 81.9°

Answer 18

so i messed up something along the way

Answer 19

at M1, it is M1= 1/2 not -1/2

Answer 20

Ugh i did this with the last one too T_T -1/-2 = 1/2

Answer 21

hey @DarkBlueChocobo sorry I left you
I really really wanted to eat my food :p

Answer 22

\[\tan^{-1}(\frac { -7/2 }{ -1/2 })\]

Answer 23

81.9 degrees

Answer 24

ok, redo,
M1= 1/2
M2 = -3
\(tan^{-1}(\dfrac{M_2-M_1}{1+M_1M_2})= tan^{-1}\dfrac{-3-1/2}{1+(-3)(1/2)}\)
yup, you got it

Answer 25

Man sorry that took so long. I need to remember that if it happens again T_T simple calculation errors