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.
Answer:
x= -2/5 and x= 3
Step-by-step explanation:
Given equation is,
5x^2 - 13x - 6 = 0
Or, 5x^2 - 15x + 2x - 6 = 0 ( using middle term method)
Or, 5x( x- 3) + 2 (x-3) = 0
Or, (x-3) (5x+2) = 0
Now, x will have 2 answers because it's degree is 2. Total number of values depends on the power of variable.
So, x= 3 or, 5x = -2
Or, x= -2/5
So, the answer is x= -2/5 and x= 3.
Hello!
I have all the work but I do not know how to post it on here.
The area of the figure shown is 57.
I hope it helps!
A because the angles match