Answer:
Below in bold.
Step-by-step explanation:
sin θ = 4 cos θ
Note that tan θ = sin θ / cos θ so we
Divide both sides by cosθ:
tan θ = 4
θ = 75.96
= 75 degrees 58 minutes.
Answer:
y=6x+21
Step-by-step explanation:
simply 3x2+6x+15
Answer:
![\frac{(9-x)}{3x}](https://tex.z-dn.net/?f=%5Cfrac%7B%289-x%29%7D%7B3x%7D)
Step-by-step explanation:
we have
![\frac{\frac{2}{x-3}-\frac{3}{x}}{\frac{3}{x-3}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B2%7D%7Bx-3%7D-%5Cfrac%7B3%7D%7Bx%7D%7D%7B%5Cfrac%7B3%7D%7Bx-3%7D%7D)
step 1
Solve the numerator of the quotient
![\frac{2}{x-3}-\frac{3}{x}=\frac{2x-3(x-3)}{(x-3)x}=\frac{2x-3x+9}{(x-3)x}=\frac{9-x}{(x-3)x}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7Bx-3%7D-%5Cfrac%7B3%7D%7Bx%7D%3D%5Cfrac%7B2x-3%28x-3%29%7D%7B%28x-3%29x%7D%3D%5Cfrac%7B2x-3x%2B9%7D%7B%28x-3%29x%7D%3D%5Cfrac%7B9-x%7D%7B%28x-3%29x%7D)
step 2
substitute in the original expression
![\frac{\frac{9-x}{(x-3)x}}{\frac{3}{x-3}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B9-x%7D%7B%28x-3%29x%7D%7D%7B%5Cfrac%7B3%7D%7Bx-3%7D%7D)
![\frac{(x-3)(9-x)}{3x(x-3)}](https://tex.z-dn.net/?f=%5Cfrac%7B%28x-3%29%289-x%29%7D%7B3x%28x-3%29%7D)
step 3
simplify
![\frac{(9-x)}{3x}](https://tex.z-dn.net/?f=%5Cfrac%7B%289-x%29%7D%7B3x%7D)
Answer:
Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle.
Step-by-step explanation:
D is your answer
1/3 of 18 is 6, so 2/3 would be 12