The center of the circle will be (4, -3) and the radius of the circle will be 6 units. Then the correct option is A.
<h3>What is an equation of a circle?</h3>
A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at the (h,k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x - h)² + (y - k)² = r²
The equation is given below.
x² - 8x + y² + 6y - 11 = 0
x² - 8x + y² + 6y = 11
Then the center and the radius of the circle will be
x² - 8x + 16 + y² + 6y + 9 = 11 + 16 + 9
(x - 4)² + (x + 3)² = 36
(x - 4)² + (x + 3)² = 6²
Thus, the center and the radius of the circle will be (4, -3) and 6 units respectively.
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Step-by-step explanation:
Mean of the origibal set = 20
No. of terms = 10
Sum = Mean x No. of terms
= 20 x 10 = 200
The sum of additional numbers to make the new set of observstion is 4 + 8 + 12...... + 40 = 220
New Sum = 200 + 220 = 420
The no of terms stay the same
New Mean = New Sum/ N
= 420/10
= 42
The transformation of this shape was rotation, it was rotated 180 degrees clockwise around the axis.
Answer:
49%
Step-by-step explanation:
First find how much Alice is paying for the all three service currently.
Amount paid by Alice at present= 59 + 49 + 69 = $ 177
If she switches to 90 NOW plan, then the amount saved = 177 - 90 = $ 87
Percentage of savings = (saved amount ÷ total amount she was paying at present) * 100
![= \frac{87}{177}* 100\\\\= 49.15](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B87%7D%7B177%7D%2A%20100%5C%5C%5C%5C%3D%2049.15)
= 49 %
Answer:
{1,9,7,5,2}
Step-by-step explanation:
Those are the answers