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
dexar [7]
3 years ago
7

The equation x ^ 2 - 2x + y ^ 2 - 4y = 20 defines a circle in the xy-coordinate plane What is the radius of the circle?

Mathematics
1 answer:
Helga [31]3 years ago
4 0

Answer:

I'll set up the problem and you can do the calculation

Step-by-step explanation:

we need to complete the squares to get the equation in the general form:

{(x - h)}^{2}  +  {(y - k) }^{2}  =  {r}^{2}

where h = the x coordinate of the center

k = the y coordinate of the center

r = the radius

so looking at

{x}^{2}  - 2x

we can see that if use -1 as the constant we have

{(x - 1)}^{2}  =  {x}^{2}  - 2x   + 1

doing the same for y

{y}^{2}  - 4y

we can use -2 as the constant (basically you that the s

quare of the y coefficient )

{(y - 2)}^{2}  =  {y}^{2}  - 4y   + 4

so now we have to add or subtract the constant on the RHS to see what the square of the radius is according to the general form of the equation at the top

20 +1+4=25

Take the square root and you have the radius

You might be interested in
What is the slope of the line?
gayaneshka [121]
The answer is (5,4). X being the run (5), and Y being the rise (4).
5 0
2 years ago
Read 2 more answers
I really need help with this dividend thing. Plz help ASAP
dimaraw [331]

Answer:

45.26

Step-by-step explanation:

36.50 \times 73 = (2664.5) \div 50  \\ = 53.29

53.29 \times 62 = (3303.98) \div 73 \\  = 45.26

4 0
3 years ago
Luna mixes 3/4 cup of orange juice with 3/8 cup of cranberry juice. She gives 5/8 cup of juice to mags. How much is left in luna
Debora [2.8K]

Answer:

The answer is 1/2

Step-by-step explanation:

First you must the least common denominator so that you can add the two fractions. The least common denominator between 3/4 and 3/8, would be 8.

To get 3/4 to the least common denominator, you have to multiply top and bottom by 2. The product of this will be 6/8.

Next you add the two fractions: 6/8 + 3/8 = 9/8

Simplify your improper fraction to get on and 1 eighths or in number form 1 1/8

After this you must subtract how much she gave away so you can use your improper fraction to make it easier and subtract five eighths from nine eighths: 9/8 - 5/8 = 4/8

So, Luna has four eighths of a glass left but first you must simplify your answer. both 4 and 8 divide by 4 to get 1/2.

So Luna's glass only has 1/2 in the cup.

Make sure you be optimistic and see it as half full, instead of the pessimistic view of half empty. Remember to stay positive and share good vibes. Hope this answer helps you.

4 0
3 years ago
How to solve this.im stuck in this question for 20 mins. Plzz answer
Alik [6]

Answer:

Find the minimum or maximum value of the function g (I) = -3x^2 - 6x + 5. Describe the domain and range of the function, and where the function is increasing and decreasing. > -1 all real numbers The function The maximum value is I < 0 The domain is and the range is right of I left -1 is increasing to the of I= and decreasing to the 0 12 :: yo y0 :: 8 :: IS-1 :: -1 :: 0 :: I> 0 :: 1 :: 8 :: < 0 :: left :: all real numbers :: y -8 :: y < 8 :: y8​

Step-by-step explanation:

4 0
2 years ago
PLZ HELPPPPPPPPPPPPPPPPPPP
Law Incorporation [45]
We can see : KM = KL + LM
So : KM = 14 + 3 = 17
So KM = 17

Hope it helps! If it is, Brainliest please!
5 0
3 years ago
Other questions:
  • As of 2015, there were over 75,000 elevators in New York City. The frequency table summarizes data on the number of elevators of
    10·1 answer
  • 1) What is the difference in water pressure between the top and bottom of a 200-m deep<br> well?
    5·1 answer
  • 1. Solve the equation p2 + 2p - 8 = 0 using the quadratic formula
    8·1 answer
  • how many scoops of rice can a barrel, with an interior volume of 351.68 inches, hold if each scoop is a hemisphere with radius 1
    10·1 answer
  • Please answer! Will give points! Please help!
    5·1 answer
  • A math class surveyed students about their musical preferences an recorded the results in the table. Use tha data wtite a ratio
    8·1 answer
  • PLEASEEEE HELPPPPP IM BEGGING SOMEONE HELPPP PLEASEEEEEEEEE PLEASEEEEEEEE​
    7·2 answers
  • Here you go a question since you’re probably bored
    8·1 answer
  • Bill uses 1/2 tablespoon of salt for every 2/3 cup of popcorn when he makes popcorn. What
    11·1 answer
  • Can somebody teach me how to do this?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!