Answer: Choice A) 45 + k*90
===================================
Work Shown:
2*tan(x) = 2*cot(x)
2*tan(x) = 2*(1/tan(x))
2*y = 2*(1/y) .... let y = tan(x)
2y = 2/y
2y^2 = 2
2y^2 - 2 = 0
2(y^2 - 1) = 0
y^2 - 1 = 0
(y+1)(y-1) = 0
y+1 = 0 or y-1 = 0
y = -1 or y = 1
tan(x) = -1 or tan(x) = 1
-------------
If tan(x) = -1 then x = 135 or x = 315
If tan(x) = 1, then x = 45 or x = 225
This is for 
In more general terms,
x = 45 + k*90
where k is an integer.
Answer:
Perpendicular
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes
-2/3 negated is
2/3
The reciprocal (flip the numerator and denominator) of 2/3 is
3/2
So, the lines are perpendicular
Hope this helps! :)
Answer:
x = -2 and 1
Step-by-step explanation:
Given :
f(x) = x+2
g(x) = -x²+4
The solution to the equation f(x) = g(x)
=> x+2 = -x²+4
=> x²+x = 4-2
=> x²+x -2 = 0
By factorisation
=> x²+2x-x -2 = 0
=> x(x+2) -1(x+2)
=> (x+2) (x-1)
x = -2 and 1
Answer:
106
Step-by-step explanation:
Substitute x = 3 into f(x) and evaluate , that is
f(3)
= 10(3)² + 6(3) - 2 = 10(9) + 18 - 2 = 90 + 18 - 2 = 106
Answer:
Step-by-step explanation:
