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Agata [3.3K]
3 years ago
10

Based on the picture below: What is the measure of AC

Mathematics
1 answer:
Nutka1998 [239]3 years ago
8 0

Answer:  AC=1001.249

Step-by-step explanation:

using the pythagorus theorem

c²=a²+b²

c²= (500)² + (1000)²

c²= 2500+1000000

c=√1002500

c=1001.249

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Write the equation for a parabola with a focus at (6,-4) and a directrix at y= -7
shtirl [24]

Given:

The focus of the parabola is at (6,-4).

Directrix at y=-7.

To find:

The equation of the parabola.

Solution:

The general equation of a parabola is:

y=\dfrac{1}{4p}(x-h)^2+k                  ...(i)

Where, (h,k) is vertex, (h,k+p) is the focus and y=k-p is the directrix.

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h=6

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Directrix at y=-7. So,

k-p=-7                            ...(iii)

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2k=-11

k=\dfrac{-11}{2}

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Putting k=-5.5 in (ii), we get

-5.5+p=-4

p=-4+5.5

p=1.5

Putting h=6, k=-5.5,p=1.5 in (i), we get

y=\dfrac{1}{4(1.5)}(x-6)^2+(-5.5)

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Therefore, the equation of the parabola is y=\dfrac{1}{6}(x-6)^2-5.5.

4 0
2 years ago
Use the coordinate plane to help you identify the length of each leg then use the Pythagorean Theorem to find the length of CD
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Answer:

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Answer:

C = pi * d = 2 * pi *r

Step-by-step explanation:

The circumference of a circle is the distance around the circle.  It can be found by multiplying the diameter times pi.

C = pi * d

We can replace the diameter with twice the radius

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13(6x – 5) – x = 13 – 2(x + 1
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Answer:

Step-by-step explanation:

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