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Alinara [238K]
3 years ago
14

A parabola has a vertex at (3,4) and passes through point (-2,-9/4) as shown to the right. Which of the following is the equatio

n for the parabola?
A. y= -4(x-3)^2+4
B. y= -1/4(x-3)^2+4
C. y= -1/2(x-3)+4​

Mathematics
1 answer:
Alex17521 [72]3 years ago
6 0

Answer:

b. y= -4(x-3)^2+4

Step-by-step explanation:

BECAUSE I DID THIS BEFORE AND THE TEACHA TOLD ME THE RIGHT ANSWER! ITS CORRECT TRUST MEEEE

IM SERIOUS! >:0

<u><em>FR THOO</em></u>

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Which expression is equivalent to -
dedylja [7]
x^\frac{4}{3} x^ \frac{2}{3}Lets get started :)

Referring to the picture I have uploaded might help you
We have the same base, which in this case is x. 

When multiplication occurs in the same base, we add the powers
x^\frac{4}{3} x^ \frac{2}{3}
   ↓ (I am going to perform the problem separately and then give the final answer as the power to x)
\frac{4}{3} + \frac{2}{3} = \frac{6}{3} = 2
  ↓
x²

(x^2)^ \frac{1}{3}

The power of a power should be performed by multiplying the powers together.
2 x \frac{1}{3} = \frac{2}{3}

x^\frac{2}{3}

Your final answer will be the second option



4 0
3 years ago
PLEASE HELP! Urgent!!!
zaharov [31]

Answer:

\frac{9}{2}\pi +35

Step-by-step explanation:

The area of trapezoid is given by the formula:

A=\frac{1}{2}(b_1+b_2)h

Where

A is the area

b_1 is base 1

b_2 is base 2, and

h is the height

Looking at the figure, base 1 is the left line which goes from y = 3 to y = 3, so 6 units. Also, base 2 is the right line which goes from y = -3 to y =5, so 8 units.

The height is the horizontal distance in the middle, which goes from x = -2 to x = 3, so 5 units. Hence area of trapezoid is:

A=\frac{1}{2}(b_1+b_2)h\\A=\frac{1}{2}(6+8)*5\\A=35

Now, area of semicircle is:

A=\frac{\pi r^2}{2}

Where

A is the area

r is the radius

Looking at the figure, the diameter (twice radius) goes from y = -3 to y = 3, so 6 units. But radius is half of that, so 3 units. Hence area of semicircle is:

A=\frac{\pi r^2}{2}\\A=\frac{\pi (3)^2}{2}\\A=\frac{9}{2} \pi

Total area of the figure is \frac{9}{2}\pi +35

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4 + 8 = 12 that is the answer
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Answer:

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Step-by-step explanation:

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