1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Harlamova29_29 [7]
3 years ago
10

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

Mathematics
2 answers:
Zolol [24]3 years ago
7 0
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! :)
fomenos3 years ago
5 0

Answer: the radius is 8 units

Step-by-step explanation:

You might be interested in
Divide (3x^3 + x2 – 4) by (x + 2).
OLga [1]

Answer:

(x+2)(3x^3-5x-10)

Step-by-step explanation:

If you don't know how to divide polynomials then I can help with that too or you can just search it up

6 0
2 years ago
How are volatility and risk related in an investment?
Semenov [28]
The answer is B
hope this helps
5 0
3 years ago
Read 2 more answers
Please help me! it’s my last question that’s I have
Ber [7]
I am so sorry, i wish i could help but the picture is not loading
8 0
3 years ago
The cone and cylinder above have the same radius, r, and height, h. The volume of the cone is 69 cubic centimeters. What is the
MatroZZZ [7]

Answer:

207 cubic centimeters

Step-by-step explanation:

Given

volume of cone  = 9 cubic centimeters

Since the cone and cylinder above have the same radius, r, and height, h, then r = h

volume of the cone = 1/3πr²h

69 =  1/3πr²h

πr²h = 69*3

πr²h = 207cubic cm

Since the volume of the cylinder =  πr²h

Hence volume of the cylinder is 207 cubic centimeters

8 0
3 years ago
I NEED HELP ASAPPPP
Yuliya22 [10]
Pythagorean Theorem- A^2+B^2=C^2
1) 6^2+9^2= x^2
2) 36+81= 117
Square root 117 =10.82

Hope this helped :)
4 0
3 years ago
Other questions:
  • Please help wit all questions! leave work below! if you do this , it will give you 40 points!!
    10·1 answer
  • I have a quation about functions.
    14·1 answer
  • Which of the following is the correct graph of the solution to the inequality −13 > −5x + 2 > −28? number line with open d
    14·2 answers
  • What is the solution to the system of equations?
    14·1 answer
  • Convert 180 inches to feet.
    6·2 answers
  • What is 5(x -5) = x(14 -4)
    11·1 answer
  • Simplify the expression 4.5(− 6) + 19.
    13·2 answers
  • Someone help me with 5.84 divide 4
    12·2 answers
  • 85) A6-foot man casts an 8-foot shadow. How tall is a tree that casts a<br> 20-foot shadow?
    9·1 answer
  • Priya has 5 pencils, each x inches in length. When she lines up the pencils end to end, they measure 34.5 inches. Select all the
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!