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lakkis [162]
3 years ago
8

Please help ASAP!!!!!!!!!

Mathematics
2 answers:
kondor19780726 [428]3 years ago
7 0

Answer:

6.2

Step-by-step explanation:

Actual value: 6.15636257

exis [7]3 years ago
5 0

Answer:

6.2

Step-by-step explanation:

sin(20)x 18 = 6.156 rounded to 6.2

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3 years ago
What is the focus of the parabola? y=−1/4x2−x+3
alex41 [277]

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<u>Step-by-step explanation:</u>

y=-\dfrac{1}{4}x^2-x+3\\\\\rightarrow a=-\dfrac{1}{4},\ b=-1

First let's find the vertex. We do that by finding the Axis-Of-Symmetry:

AOS: x=\dfrac{-b}{2a}\quad =\dfrac{-(-1)}{2(\frac{-1}{4})}=\dfrac{1}{-\frac{1}{2}}=-2

Then finding the maximum by inputting x = -2 into the given equation:

y=-\dfrac{1}{4}(-2)^2-(-2)+3\\\\y=-1+2+3\\\\y=4

The vertex is: (-2, 4)

Now let's find p, which is the distance from the vertex to the focus:

a=\dfrac{1}{4p}\\\\\\-\dfrac{1}{4}=\dfrac{1}{4p}\\\\\\p=-1

The vertex is (-2, 4) and p = -1

The focus is (-2, 4 + p) = (-2, 4 - 1) = (-2, 3)

3 0
3 years ago
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