Step-by-step explanation:
Start by multiplying both sides by cosα:
1 + sinα + (cos²α)/(1+sinα) = 2
sinα + (cos²α)/(1+sinα) = 1
Now multiply both sides by 1+sinα:
sinα + sin²α + cos²α = 1 + sinα
sin²α + cos²α = 1 Q.E.D.
I believe the next one would be 13.2 because if you add 8.4 to -6.4 it gets 4.8 so you just do the same thing
Step-by-step explanation:

company A :
30,000 + 0.03(37499) = 31124.97...sales less then 37500
30,000 + 0.03(37501) = 31125.03....sales exceed 37500
30,000 + 0.03(249000) = 37470 ...sales less then 250000
30,000 + 0.03(251000) = 37530....sales exceed 250000
company B :
25,000 + 0.05(37499) = 26874.95...sales less then 37500
25,000 + 0.05(37501) = 26875.05...sales exceed 37500
25000 + 0.05(249000) = 37450...sales less then 250000
25,000 + 0.05(251000) = 37550...sales exceed 250000
so i believe your answer is option b,
company A pays better when sales are less then 250,000, but company B pays better when sales exceed 250,000 <==
Answer:
D. y = -1/4x + 3
Step-by-step explanation:
If the line is perpendicular, it will have a opposite reciprocal slope.
So, the slope will be -1/4.
Plug in this slope and the given point into y = mx + b, and solve for b:
y = mx + b
-6 = -1/4(12) + b
-6 = -3 + b
-3 = b
Plug in the slope and y intercept into y = mx + b
y = -1/4x - 3
So, the correct answer is D. y = -1/4x + 3