Answer:
x=12, y=6
Step-by-step explanation:
Very simple!
Just substitute 0 for y and solve for x!
(anything times 0 equals 0!)
Now you can do the same thing but substitute 0 for x!
Hope this helps!
So for 1: You divide 1780 by 36 to get your answer. You will get a remainder but in this situation, we ignore it since you wouldn’t be able to wrap another gift completely
2: Divide 247 by 52. Again, you will get a remainder but in this situation we found up to the nearest whole because to be able to take all the kids, you would need another bus.
3: Divide 98 by 28. You will get a remainder, then you take that and divide it by 28, and simplify it, to get the fraction
FIRST PARTWe need to find sin α, cos α, and cos β, tan β
α and β is located on third quadrant, sin α, cos α, and sin β, cos β are negative
Determine ratio of ∠α
Use the help of right triangle figure to find the ratio
tan α = 5/12
side in front of the angle/ side adjacent to the angle = 5/12
Draw the figure, see image attached
Using pythagorean theorem, we find the length of the hypotenuse is 13
sin α = side in front of the angle / hypotenuse
sin α = -12/13
cos α = side adjacent to the angle / hypotenuse
cos α = -5/13
Determine ratio of ∠β
sin β = -1/2
sin β = sin 210° (third quadrant)
β = 210°
SECOND PARTSolve the questions
Find sin (α + β)
sin (α + β) = sin α cos β + cos α sin β
Find cos (α - β)
cos (α - β) = cos α cos β + sin α sin β
Find tan (α - β)
Simplify the denominator
Simplify the numerator
Simplify the fraction
Answer:
700
Step-by-step explanation:
1) 9m
2) 1/64
3) 50d^3
4) pq^2 (p-q) (p-q)
= pq^2 ( p^2 - 9p -9p +18)
= pq^4 - 18p^2q^2 + 8pq^2
= q^2 - 18p + 8