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
prisoha [69]
3 years ago
11

Find the center and radius when x^2+y^2+4x-4y=17

Mathematics
2 answers:
Gekata [30.6K]3 years ago
6 0

Answer:

Center: (-2,2)

Radius:5

Step-by-step explanation:

The first step in this problem is to complete the square and to find the equation of this circle in standard form.

x^2+y^2+4x-4y=17 can be rearranged to be:

x^2+4x+y^2-4y=17

Now, you can begin to complete the square with both the x and the y:

(x^2+4x+4)-4+(y^2-4y+4)-4=17

Adding 8 to both sides and finishing the squares:

(x+2)^2+(y-2)^2=25(x+2)^2+(y-2)^2=25

The coordinates of the center of the circle are (-2,2), and the radius is \sqrt{25}=5. Hope this helps!

coldgirl [10]3 years ago
3 0

Answer:

the center is (-2,2) and the radius is 5

You might be interested in
How do I solve the system of equations x^2 +y=0 and x^2+y=0? I have to use substitution
Wittaler [7]
Equations
• x² + y = 0 ... (1)
• x² - 4x - y = 0 ... (2)

Answer -> (x, y) = (2, -4)

Step-by-step solution:

From equation 2,
-> y = x² - 4x ... (3)

• Substitute y into equation 1

-> x² + (x² - 4x) = 0
-> 2x² - 4x = 0
-> 2x² = 4x
-> x²/x = 4/2
-> x = 2

• Put x = 2 in equation 3

-> y = (2)² - 4(2)
-> y = 4 - 8
-> y = -4
5 0
3 years ago
I will mark you Brainliest if your response is correct. Also, I'm offering 20 points.
posledela

Answer:

740 m^2

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What are the solutions to the equation (x – 6)(x + 8) = 0?
Ghella [55]

Answer:

x₁ = 6 and x₂ = 8

Step-by-step explanation:

See the picture below

8 0
3 years ago
8. If3:8=c:56, the value of c will be
adelina 88 [10]

The scale for the second values is 56/8 = 7

C = 3 x 7 = 21

C= 21

6 0
3 years ago
In a packet of 40 skittles , 30% are red . How many skittles are not red ?
algol13

Answer:

12

Step-by-step explanation:

I just did the math on how much 30% is in 40 and I got the answer 12 I hope this helps you!

7 0
2 years ago
Other questions:
  • Help with question 17!
    7·1 answer
  • The length of a rectangle is 8.more than the width. the area is 84 square feet. find the length and width of the rectangle.
    15·1 answer
  • Can someone plz help me with this question
    8·1 answer
  • What percent is equivalent to Two-fifths?<br> Possible Answers...<br> 0.4%<br> 2.5%<br> 25%<br> 40%
    5·2 answers
  • (a) There are $n$ chairs in a row. Find the number of ways of choosing $k$ of these chairs, so that no two chosen chairs are adj
    12·1 answer
  • Lisa runs 6 miles in 50 minutes. At the same rate, how many miles would she run in 35 minutes?
    13·1 answer
  • How do you Simplify -(1 - x)+3
    13·1 answer
  • What is -3/4 + 2 3/4​
    10·1 answer
  • Identify the range of the function shown in the graph
    8·1 answer
  • What is the solution to the equation 4 + = 6? y = 1 y = 4 y = 500 y = 2000
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!