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densk [106]
3 years ago
13

What is the equation of the circle in general form

Mathematics
1 answer:
Anni [7]3 years ago
3 0

Answer:

(x - 3)^2 + (y - 5)^2 = (√89)^2

Step-by-step explanation:

Well if you estimate, you can see that the circle touches one point at (-5, 0) and the center is at about (3, 5).

The standard equation for the circle is (x - h)^2 + (y - k)^2 = r^2 where (h, k) is the center.

So, you can start by plugging in the center. (x - 3)^2 + (y - 5)^2 = r^2

Now, all you have to do is find the radius.

You can do this by connecting the point (-5, 0) to the center.

You will have to use the distance formula:

√(-5 - 3)^2 + (0 - 5)^2 = √64 + 25 = √89

The final equation will be (x - 3)^2 + (y - 5)^2 = (√89)^2

This is the general idea, but my answer may not be correct, so check my steps.

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Tyrel evaluated the expression 2 1/2−3/4. Which is one way he can check his work?
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Answer:

1 3/4 = 7/4 = 1.75

Step-by-step explanation:

The process to arrive to the solution is explained in the pictures below.

Tyler needed to convert the mixed fraction

2 1/2  = (4+1)/2 = 5/2

If we multiply by 2 numerator and denominator

5*2/2*2 = 10/4

We substract

10/4 - 3/4 = 7/4 = 1.75

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3 years ago
The radius of a circle is 4 m. Find its area in terms of <br> π<br> π.
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Answer:

16π

Step-by-step explanation:

Given:

\text{Radius of circle}: 4 \ \text{m}

<u>Formula:</u>

\text{Area of circle} = \pi r^{2}

Replace the radius in the formula:

\implies \text{Area of circle} = \pi (4)^{2}

Evaluate the area:

\implies \text{Area of circle} = \pi (4)(4)

\implies \text{Area of circle} = 16\pi

Since the question says to determine the area in terms of π, the final answer is 16π.

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Step-by-step explanation:

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Step-by-step explanation:

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