Complete the square to get
Now let
and the intersection can be expressed as a function of 
,
with 
.
Answer:
i thin correct answer is b
Answer:65.6
Step-by-step explanation:
So $0.25 per yard
16.4/$0.25=65.6
Step-by-step explanation:
We must prove that
cos²a(csc²a-cot²a) = cos²a
If we look at both sides, we can see that we have cos²a * something = cos²a. Therefore, if we can get that something to equal 1, we have our proof. In this case, that something is csc²a-cot²a. Using this information, we can work from within the parenthesis and go from there.
We can start by expanding the items in the parenthesis. Taking that csc(x) = 1/sin(x) and cot(a) = cos(x)/sin(x), we can say that
cos²a(csc²a-cot²a) = cos²a(1/sin²a - cos²a/sin²a). Because both items in the parenthesis have a denominator of sin²a, we can subtract cos²a from 1 to get
cos²a(1/sin²a - cos²a/sin²a)= cos²a((1-cos²a)/sin²a))
Next, we know that cos²a+sin²a=1, so 1-cos²a = sin²a. Plugging that in, we get
cos²a((1-cos²a)/sin²a)) = cos²a(sin²a/sin²a)
= cos²a(1)
= cos²a
Answer:
-3t - 33
Step-by-step explanation:
Distribute -3 to all terms within the other parenthesis:
(-3)(t + 11) = (-3)(t) + (-3)(11)
Simplify by multiplying:
(-3)(t) + (-3)(11)
-3t + (-33)
-3t - 33 is your answer.
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