According to the given information, the equation represents a line that is tangent to the circle and goes through the point W is given by:
y = -x + 6.
<h3>What is the equation of the circle?</h3>
The equation of a circle of center 
and radius r is given by:
In this problem, we have that the center is at point (0,2), hence:
It goes through point (3,3), hence:
Hence, the equation is:
<h3>What is the equation of the tangent line at point W?</h3>
It is given by:
Applying implicit differentiation, we have that:
Point W(3,3), hence:
Hence the equation is:
y - 3 = -(x - 3).
y = -x + 6.
More can be learned about the equation of a tangent line at brainly.com/question/8174665
Answer:
Step-by-step explanation:
x^2 - 22x = 10
Next step is to complete the square on the left hand side of the equation and it would be balanced by adding the same number to the right side of the equation. It becomes
x^2 - 22x + (22/2)^2 = 10 + (22/2)^2
x^2 - 22x + (11)^2 = 10 + (11)^2
x^2 - 22x + (11)^2 = 10 + 121
x^2 - 22x + (11)^2 = 131
x^2 - 22x + 121^2 = 131
(x - 11)^2 = 131
Taking square root of both the left hand side and the right hand side of the equation, it becomes
x - 11 = ±√131
x - 11 = ±11.45
Adding 11 to the left hand side and the right hand side of the equation, it becomes
x - 11 + 11 = ±11.45 + 11
x = 11.45 + 11 or x = -11.45 + 11
x = 22.45 or x = - 0.45
Answer:
$12
Step-by-step explanation:
If you're taking off 25% of the regular cost, "taking off" means subtracting. So if we subtract 25% OF 16, the word "of" means to multiply here. So our expression then becomes:
16 - .25(16)
16 - 4 = 12
So the CD will sell for $12.
Answer:
You use the total amount divided by the time.
The answer is 30/8, or 15/4
Step-by-step explanation:
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