Form a right angle triangle joining both given points to the origin, we get:
Perpendicular = 2 ( distance is always positive)
Base = 4 ( same logic)
Applying Pythagorus theorem
Hypotenuse = root of ( perpendicular squared + base squared)
Hypotenuse = root of 20 = 2 * root 5
Using x instead of theta
Sin x = perpendicular/hypotenuse
Cos x = base/hypotenuse
Sin x = -1/ root 5
Cos x = -2/ root 5
High probability of this answer being wrong.
Double check recommended.
Answer:
2x - 6 = 5x-10 ... 4. 2x-1= x - 5+ 3x. 2x-1=4x-5. - +5 +5. 5. 3(y-1)=-(4-5). 3y-3 = -4+5. +y
Step-by-step explanation:
To reflect in the line y = -x + 6, we translate everything down 6 first.
This will make it seem like we are reflecting in the line y = -x
(x,y) → (x, y-6)
Then, to reflect in the line y = -x, we switch the x- and y-coordinates and then make them negative
(x,y) → (-(y-6), -x)
Then we move everything back up again
(x,y) → (-(y-6), -x + 6)
I will present to you an example. Reflect the point (-4, 8) in the line y = -x + 6.
(-4,8) → (-(8-6), -(-4) + 6) → (-2, 10)
You should graph this out to confirm with the reflection line.
