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What is a radius of a circle given by the equation x²-2x+8y-47=0

Zolol [24]

First, we are going to rewrite it as a parabola equation.
Rewrite.
$8y=-x^2+2x+47$
Divide by 8.
$y=-\frac{x^2}{8}+\frac{x}{4}+\frac{47}{8}$
Factor out coefficient.
$y=-\frac{1}{8}\left(x^2-2x\right)+\frac{47}{8}$
Then, we are going to convert x into square form.
$y=-\frac{1}{8}\left(x^2-2x+1\right)+\frac{1}{8}\cdot \:1+\frac{47}{8}$
Convert the whole expression into square form.
$y=-\frac{1}{8}\left(x-1\right)^2+\frac{1}{8}\cdot \:1+\frac{47}{8}$
Simplify.
$y=-\frac{1}{8}\left(x-1\right)^2+6$
Subtract 6 from both sides.
$y-6=-\frac{1}{8}\left(x-1\right)^2$
Divide by coefficient.
$-8\left(y-6\right)=\left(x-1\right)^2$
Rewrite in standard form.
$4\left(-2\right)\left(y-6\right)=\left(x-1\right)^2$

The radius of the circle will be -2. Also, no matter what the sign says, the radius has to always be positive.
Have a nice day! :)

7 0

2 years ago

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How much material, in square inches, is needed to make the flag? square inches if the material costs $0.15 per square inch, how

lorasvet [3.4K]

The amount needed to purchase materials needed to cover the area of the triangular flag is: $54.

<h3>What is the Area of a Triangle?</h3>

Area of a triangle = 1/2(bh)

Given the dimensions of the flag as the following:

base (b) = 18 in.

height (h) = √(41² - 9²) = 40 in.

Area of the flag = 1/2(18)(40) = 360 in.²

Cost of material needed = (360)(0.15) = $54

Learn more about area of a triangle on:

brainly.com/question/9030437

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5 0

1 year ago

1 of 3

kompoz [17]

Answer:

y= -2x+3

Step-by-step explanation:

first find the slope=-2

determine one point like(0,3)

then use formula

y-3=-2x

y= -2x+3

5 0

2 years ago

A motorcycle zoomed along the freeway, traveling 10 meters in

Hoochie [10]

The speed of the motorcycle will be 30 meters per second.

<h3>What is speed?</h3>

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

A motorcycle zoomed along the freeway, traveling 10 meters in 1/3 of a second.

Then the speed of the motorcycle will be

Speed = 10 / (1/3)

Speed = 10 x 3

Speed = 30 meters per second

The speed of the motorcycle will be 30 meters per second.

More about the speed link is given below.

brainly.com/question/7359669

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3 0

1 year ago

How do you write 60% as a fraction in simplest form?

saveliy_v [14]

60/100
6/10
3/5

Hope this helps :)

6 0

3 years ago

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Explain your answer !! Have a nice day Will give braisnlt