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
Advocard [28]
3 years ago
14

If the circle x2 - 4x + y2 + 2y = 4 is translated 3 units to the right and 1 unit down, what is the center of the circle?

Mathematics
2 answers:
astraxan [27]3 years ago
5 0

The equation of a circle with center at (a,b) and radius r is: (x-a)^2+(y-b)^2=r^2.

This circle has been translated from (0,0) to (a,b).

 

The equation of the circle in our case can be rewritten as: (x-2)^2+(y-2)^2=2^2

Moving the graph 3 units to the right is: (x-2-3)^2+(y-2)^2=2^2.

Moving the graph 1 unit down is: (x-2-3)^2+(y-2-1)^2=2^2.

This gives the equation: (x-5)^2+(y-3)^2=2^2

<span>So, the center of the circle is: (5,3)</span>

dsp733 years ago
4 0

Answer:  The new co-ordinates of the center are (5, -2).

Step-by-step explanation:  The given equation of a circle is

x^2-4x+y^2+2y=4~~~~~~~~~~~~~~~~~~~~~~~~(i)

We are to find the center of the above circle if the circle (i) is translated 3 units to the right and 1 unit down.

The standard equation of a circle with radius r units and center at (h, k) is given by

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

From equation (i), we have

x^2-4x+y^2+2y=4\\\\\Rightarrow (x^2-4x+4)+(y^2+2y+1)-4-1=4\\\\\Rightarrow (x-2)^2+(y+1)^2=9\\\\\Rightarrow (x-2)^2+(y+1)^2=3^2.

Comparing the above equation with the standard equation of a circle, we get

center, (h, k) = (2, -1) and radius, r = 3 units.

If the circle is translated 3 units to the right and 1 unit down, then the co-ordinates of the new center will be

(h', k') = (h+3, k-1) = (2+3, -1-1) = (5, -2).

Thus, the new co-ordinates of the center are (5, -2).

You might be interested in
Riday<br> The x-intercepts of y = 5 (1 + 4) (x - 3)<br> are<br> and<br> NEED HELP ASAP
nikklg [1K]
The answers are -4 and 3 :)
6 0
3 years ago
What is the solution set for | s+4 | = 6?
saveliy_v [14]

Answer:

s=2,−10

Step-by-step explanation:

Find all solutions for s by breaking the absolute value into the positive and negative components.

4 0
1 year ago
Will vote brainliest.
Vlada [557]

First you have to factor the equation because there are technically 2 x’s in an x^2. You will get x(x+6)=0 because x*x=x^2 and 6*x=6x. Now you can come up with possible values. If you make the first x, 0, you are multiplying everything by 0 and will get the product of 0. So, one of the and coordinates is x=0. You can also substitute -6 for the second x in the equation so that in the parentheses it would be x(-6+6)=0. You’re basically multiplying 0 by x which will guarantee you to get 0. So, the answer is (0,-6). If you have any questions feel free to comment.

6 0
3 years ago
Can someone please help with these problems?
NemiM [27]

Answer:

Its 70 TRUST

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Long division 25 dived by 2550
Elina [12.6K]

Answer:

25 divided by 2550 = 0.009803922

2550 divided by 25 = 102

Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
Other questions:
  • Help!!!!!!!! Will Reward Brainliest for correct answer. Im also bein timed....
    12·2 answers
  • A mechanic charges $330 for 6 hours of labor.
    13·1 answer
  • Carlos and Maria drove a total of 233 miles in 4.4 hours. Carlos drove the first part of the trip and averaged 55 miles per hour
    15·1 answer
  • Find the value of "r" in c = 2πr if c = 16.328. show your solution.
    12·1 answer
  • You are given f(x)=x/1+x. Evaluate f(2)+f(1/2).
    7·1 answer
  • Is it possible to construct Triangle ABC with angles 40, 60 and 90 degrees?
    5·1 answer
  • Help its lateee and i suck at this
    10·1 answer
  • Use the distributive property to create an equivalent expression to the equation 9(2j + 5j).
    14·1 answer
  • When President Obama stated, "Transparency and the rule of law will be the touchstones of this presidency," he meant that
    8·1 answer
  • Select the correct answer.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!