Answer:
(8, - 5 )
Step-by-step explanation:
Given the 2 equations
3x + 4y = 4 → (1)
- x - 3y = 7 → (2)
Multiplying (2) by 3 and adding to (1) will eliminate the x- term.
- 3x - 9y = 21 → (3)
Add (1) and (3) term by term to eliminate x, that is
0 - 5y = 25
- 5y = 25 ( divide both sides by - 5 )
y = - 5
Substitute y = - 5 into either of the 2 equations and solve for x
Substituting into (1)
3x + 4(- 5) = 4
3x - 20 = 4 ( add 20 to both sides )
3x = 24 ( divide both sides by 3 )
x = 8
solution is (8, - 5 )
Answer: The triangles are reflected across the line y = x
Step-by-step explanation:
I used wolfram to calculate it for me. I used the bottom right point of the triangle.
For this case, the first thing we must do is the composition of functions.
We have:
f (x) = x ^ 2- (1 / 2x) +4
g (x) = 8x-2
(gOf) (x) = 8 (x ^ 2- (1 / 2x) +4) -2
We rewrite: now the function:
(gOf) (x) = 8x ^ 2- (8/2) x + 32-2
(gOf) (x) = 8x ^ 2-4x + 30
Answer:
The final result is:
(gOf) (x) = 8x ^ 2-4x + 30