Answer:
(-3, -17)
Step-by-step explanation:
The best way to find the vertex is to rewrite the given quadratic in vertex form: y - k = a(x - h)^2.
The given quadratic is f(x) = 2x2 + 12x + 1. We will focus on the first two terms and "complete the square." f(x) = 2x2 + 12x + 1 can be rewritten as
f(x) = 2(x^2 + 6x) + 1, which, after completing the square, is
f(x) = 2(x^2 + 6x + 9 - 9) + 1, or
f(x) = 2( (x + 3)^2 - 9 ) + 1, or
f(x) = 2(x + 3)^2 - 17
Comparing this to
f(x) = a(x - h)^2 + k, we see that the vertex is located at (h, k): (-3, -17)
Answer:
C
Step-by-step explanation:
Remember the mnemonic: SohCahToa, where:

Let's determine our side lengths first.
Note that our angle is A. So, we have to determine the sides with respect to A.
The opposite side to A is 16.
The adjacent side is 12.
And the hypotenuse is 20.
With this, we can find our trig ratios:
Sine:

Substitute 16 for the opposite and 20 for the hypotenuse. This yields:

Reduce:

Cosine:

Substitute 12 for the adjacent and 20 for the hypotenuse. This yields:

Reduce:

Tangent:

Substitute 16 for the opposite and 12 for the adjacent. This yields:

Reduce:

So, our answers are:

Out of the answer choices, the choice that represents this is C.
So, our correct answer is C.
And we're done!
First we divide 102 by 12.75 to get the hours which is 8 hours. So it would take 8 hours
Answer:
A 5:7
Ste:p-by-step explanation
because you would look at what the denominator and 7 is the least and 5.
hope this helps!
Answer:
5.25
Step-by-step explanation:
15% × 35 =
(15 ÷ 100) × 35 =
(15 × 35) ÷ 100 =
525 ÷ 100 =
5.25