Step-by-step explanation:
Let's say the coordinates of Q are (h, k).
The slope of PQ is perpendicular to the tangent line.
(k − 2) / (h − 2) = -⅓
3(k − 2) = -(h − 2)
3(k − 2) = 2 − h
Solving for h:
h = 2 − 3(k − 2)
h = 2 − 3k + 6
h = 8 − 3k
(2, 2) is a point on the circle, so:
(2 − h)² + (2 − k)² = r²
Substituting:
9 (k − 2)² + (2 − k)² = r²
10 (k − 2)² = r²
The equation of the circle is:
(x − 8 + 3k)² + (y − k)² = 10 (k − 2)²
Without more information, there are an infinite number of possible solutions. For example, if k = 1, the equation of the circle is:
(x − 5)² + (y − 1)² = 10
Hello here is a solution :
f(x) = xsin(x)
f'(x) =( x)'sin(x) +x(sin(x))'
f'(x) = 1. sin(x)+x cos(x)
Answer:
Your answer is x=-1 y=1. Have a great day:)
Step-by-step explanation:
Answer:
1 liter of milk
Step-by-step explanation:
10%= 1/10
since the number we are taking 1/10 of <u>is</u> 10, we find one out of ten, which is of course 1.
Answer:
$705.79
Step-by-step explanation:
(see attached for reference)
the formula for compound interest is
A = P [1 + (r/n) ]^(nt)
Where:
P = Principal Amount = $500
r = annual interest rate = 9% = 0.09
t = 4 years
n = 1 (compounded annually)
A = 500 [1 + (0.09/1) ]^(1 x 4)
A = 500 [1 + 0.09 ]^(4)
A = 500 [1.09 ]^(4)
A = $705.79
