The center of a circle whose equation is x^2 +y^2 – 12x – 2y +12 = 0 is (6,1)
<h3>Equation of a circle</h3>
The standard equation of a circle is expressed as:
x^2 + y^2 + 2gx + 2fy + c = 0
where:
(-g, -f) is the centre of the circle
Given the equations
x^2 +y^2 – 12x – 2y +12 = 0
Compare
2gx = -12x
g = -6
Simiarly
-2y = 2fy
f = -1
Centre = (6, 1)
Hence the center of a circle whose equation is x^2 +y^2 – 12x – 2y +12 = 0 is (6,1)
Learn more on equation of a circle here: brainly.com/question/1506955
9514 1404 393
Answer:
(a) 34 ft²
Step-by-step explanation:
The "top" and "back" together have a height of 2 ft + 1 1/2 ft = 3 1/2 ft. The bottom and front will have the same height, so the central vertical rectangle in the net will have a height of 2×(3 1/2 ft) = 7 ft. It is shown as having a width of 4 ft, so its area is ...
A = WH = (4 ft)(7 ft) = 28 ft²
__
The two areas labeled "left" and "right" are shown as having a height of 1 1/2 ft. Their width is the same as the width of the bottom (or top), so is 2 ft. The total area of the left and right sides is then ...
left + right = 2WH = 2(2 ft)(1 1/2 ft) = 6 ft²
That makes the area of the entire net be ...
total surface area = 28 ft² +6 ft² = 34 ft²
The surface area of the box is 34 square feet.
Answer:
Constant of proportionality is 190.
Step-by-step explanation:
To find proportionality constant we will find difference of weights after 2 days and at birth.

Now we will find difference of weights after 14 days and at birth. We will divide the difference by 14.


We can see that weights are increasing at a constant rate of 190 pounds per day. Therefore, our constant of proportionality is 190.
4 * -1 * 3 + 2 = -10
Sorry if I didn't do this right!
It would take her 45 mins to grade 2 stacks or 3/4 of an hour.