Answer:
x² + 2x + y² + 4y = 20
(x² + 2x + 1) - 1 + (y² + 4y + 4) - 4 = 20
(x + 2)² + (y + 4)² - 5 = 20
(x + 2)² + (y + 4)² = 25
Therefore, the center is (-2, -4) and the radius is √25 = 5.
Answer:
Step-by-step explanation:
From the graph <em>f</em>(-2) = 0
g(-2) = -3(-2) + 2
= 6 + 2 = 8.
So f(-2) is less than g(-2).
2. From the graph the y-intercept of f(x) = 8.
To find the y-intercept of g(x) solve y = -3x +2 when x = 0:
y = -3(0) + 2 = 2.
So f(x) has a greater y-intercept than g().
P(t)=500(1+4t/(50+t^2 ))
P'(t) = 500 [(50+t^2).4 - 4t.2t]/(50+t^2)^2
by the quotient rule
500 (-4t^2 + 200)/(t^2 + 50)^2
Hence
P'(2) = 500 . (-16 + 200)/54^2 ~= 31.6
Hi there!
Please see the picture below for the answer.
Thanks!
Good luck!
Compatible numbers are easy to divide mentally.
hope this helped
