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natka813 [3]
3 years ago
6

Find the center and radius of a circle defined by the equation x^2+yy^2+4x-8y+13=0

Mathematics
1 answer:
gogolik [260]3 years ago
8 0
Hello : 
x²+y²+4x-8y +13 = 0
(x² +4x) +(y² -8y )+13 = 0
(x²+4x+4) -4 +(y-8y +16) -16 +13 = 0
(x+2)² +(y -4)² = 7
the center is : (-2 , 4) and radius <span>√7</span>
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Solve.
Serggg [28]

Answer:

The solution is (4, 0)

Step-by-step explanation:

Using Linear combination method to solve:

2d + e = 8\\d - e = 4\\

Since "e" have the same coefficient in both equation with opposite operator; we will add.

(2d + d) + (e - e) = (8 + 4)\\3d = 12\\

Divide both side by coefficient of d which is 3

\frac{3d}{3}  = \frac{12}{3} \\d = 4\\

Since d = 4; put 'd' into any of the equation to get 'e'

2d + e = 8\\2(4) + e = 8\\8 + e = 8\\e = 8 - 8\\e = 0\\

Therefore, the solution is (4, 0)

5 0
3 years ago
NEED THE ANSWER ASAP<br> MARKING BRAINLIEST
vazorg [7]
Arc AC would be 90 degrees because the line is bisects the straight line (180 Degrees)

Answer: 90 Degrees
5 0
3 years ago
Read 2 more answers
The area of polygon MNOPQR = Area of a rectangle that is 9 square units + Area of a rectangle that is ___ square units. (Input w
vekshin1
You have the polygon MNOPQR which can be expressed as two rectangles pasted one next to each other.

To see the two rectangles in the picture, you can draw a line parallel to segment MR througn point N.

From the original picture you can state the dimensions of both rectangles.

Call S, the point where the line that you drew intercepts the segment RQ.

Then one rectangle is MNSR and the other rectangle is OPQS.

The measures of the sides of the rectangle MNSR are:

- the length of MN = length of SR = base

- the length of MR = the length of NS.= height

So its area is base * height, which you can all A1.

The measured of the rectangle OPQS are:

- segment OP = segment SQ = segment QR - segment SR = base

- segment PQ = segment OS = height

So its area is base * height, which you can call A2.

Then the area of the polygon MNOPQRS is A1 + A2. One of them is 9 u^2 and the other is what the answer is asking for, and that you have calculated above.

With this procedure you can tell the value needed.   

 
8 0
3 years ago
Hey guys I have a hard time with these questions. Can someone explain it to me? :)
frutty [35]
The slope would be 0

This is basically how you do it if you need more help let me know

6 0
3 years ago
Read 2 more answers
3x-4y=2 what is the coordinate of the x intercept in this equation
Lunna [17]
Plug in zero for x to find the x intercept. So 3(0)-4y=2.
=-4y=2. Y=-1/2. X int. = (0,-1/2)
7 0
2 years ago
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