Answer:
F(-6)=10
Step-by-step explanation:
From the set of ordered pairs we have,
(-6,10)
This means that when we substitute
x=-6 into the function the result is 10.
Thus,
The last choice is the correct option
Answer:
C) 4t + 5.75 = 65
Step-by-step explanation:
This equation is correct because it adds together the price of one popcorn and the price of the 4 tickets as 4t.
A and B are wrong because only t should be multiplied by 4, and D is wrong because it subtracts the price of the popcorn.
Looking at the unit circle:
tanӨ = tan(Ө <span>± 180k)
If we add/subtract 180° from our angle, it simply ends up on the other side of the unit circle. Since tan</span>Ө is represented as slope, the values of the two are the same.
cotӨ is defined as the reciprocal of tanӨ (1/tanӨ)
If tanӨ = tan(Ө ± 180k), then we could also say that
1/tanӨ = 1/tan(Ө ± 180k) which then becomes cotӨ = cot(Ө ± 180k)
Let's apply this to cot(290°).
Subtract 180° to find that cot(290°) = cot(110°)
cot(110°) = -cot(70°) because the angle has been reflected across the y axis, making its slope opposite.
-cot(70°) = -1/tan(70°) because of that reciprocal property from earlier
tan(70°) ≈ 2.75
-1/tan(70°) ≈ -0.36 = cot(290°)
(of course, most calculators can handle tan(110°), but if you're using a trig chart it might not be on there. include whichever steps are necessary)
Answer:
1
Step-by-step explanation:
10-9=1
