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dimulka [17.4K]
3 years ago
7

Please help me sue tonight

Mathematics
1 answer:
bearhunter [10]3 years ago
4 0

Answer:

the answer is D.

Step-by-step explanation:

can you pls give me brainlest

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Match the pairs of equations that represent concentric circles. Tiles
Darina [25.2K]
I will explain you and pair two of the equations as an example to you. Then, you must pair the others.

1) Two circles are concentric if they have the same center and different radii.

2) The equation of a circle with center xc, yc, and radius r is:

(x - xc)^2 + (y - yc)^2 = r^2.

So, if you have that equation you can inmediately tell the coordinates of the center and the radius of the circle.

3) You can transform the equations given in your picture to the form (x -xc)^2 + (y -yc)^2 = r2 by completing squares.

Example:

Equation: 3x^2 + 3y^2 + 12x - 6y - 21 = 0

rearrange: 3x^2 + 12x + 3y^2 - 6y = 21

extract common factor 3: 3 (x^2 + 4x) + 3(y^2 -2y) = 3*7

=> (x^2 + 4x) + (y^2 - 2y) = 7

complete squares: (x + 2)^2 - 4 + (y - 1)^2 - 1 = 7

=> (x + 2)^2 + (y - 1)^2 = 12 => center = (-2,1), r = √12.

equation: 4x^2 + 4y^2 + 16x - 8y - 308 = 0

rearrange: 4x^2 + 16x + 4y^2 - 8y = 308

common factor 4: 4 (x^2 + 4x) + 4(y^2 -8y) = 4*77

=> (x^2 + 4x) + (y^2 - 2y) = 77

complete squares: (x + 2)^2  - 4 + (y - 1)^2 - 1 = 77

=> (x + 2)^2 + (y - 1)^2 = 82 => center = (-2,1), r = √82

Therefore, you conclude that these two circumferences have the same center and differet r, so they are concentric.
5 0
3 years ago
8/m-9=6/m-8<br><br>What does m equal?
liq [111]

Answer:

x=2

Step-by-step explanation:

you should isolate the variable and find out from what you have

4 0
3 years ago
Please help me !!!!!!!!
astraxan [27]
It's C the missing side is 9 units long so since cosine is adjacent divided by hypotenuse it would be 9/41
5 0
3 years ago
Read 2 more answers
Decrease 18tonnes by 30%
Tom [10]
18\tonnes -18\ tonnes\ * 30\ \% =18\tonnes -18\ tonnes\ * 0,3 = 18\tonnes -2,4\ tonnes=15,6\ tonnes


5 0
3 years ago
Help pls I rlly need help it’s important
Alecsey [184]

Answer:

2. 112

3. 78

5. 672

7.  149.8

9. 17.5

10. 19360

11. 64 000

13. 29

14. 350240

15. 386

16. 224

17. 0.9071847

Step-by-step explanation:

6 0
3 years ago
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