Answer:
(- 1, 1 )
Step-by-step explanation:
Given the 2 equations
y = 3x + 4 → (1)
y = x + 2 → (2)
Substitute y = 3x + 4 into (2)
3x + 4 = x + 2 ( subtract x from both sides )
2x + 4 = 2 ( subtract 4 from both sides )
2x = - 2 ( divide both sides by 2 )
x = - 1
Substitute x = - 1 into either of the 2 equations and evaluate for y
Substituting x = - 1 into (2)
y = - 1 + 2 = 1
Solution is (- 1, 1 )
tan(3θ + 17) = cot(θ + 7)
(3θ + 17) + (θ + 7) = 90
(3θ + θ) + (17 + 7) = 90
4θ + 24 = 90
- 24 - 24
4θ = 66
4 4
θ = 16.5
3/4 w = 9
multiply by 4/3 on both sides
4/3 x 3/4 w = 9 x 4/3
w = 9 x 4/3
Simplify that
w = 3 x 4
w = 12
So your final answer is