Answer:
14,15,16
Step-by-step explanation:
14+15=29
add up 29 + 16 = 45
Check first one:
2(-2)- 3(1) < 1
-4 -3 < 1
-7 < 1
This is true, let's check others, just to be sure
Check second one:
2(1/2) - 3(0) < 1
1 - 0 < 1
This is false
Check third one :
2(2)- 3(1) < 1
4- 3 < 1
This is false
So answer is (-2,1)
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:
3
Step-by-step explanation:
When you go from x=1 to x=3 you go up twice on the x-value. The y value also increases by 6 which means all you have to do is find the average.
6/2= 3
3 is the average increase between x=1 and x=3
Hope this helps!
Answer:
13.608
Step-by-step explanation:
hope I can help man. good luck.