The equation of a circle is (x + 4)2 + (y + 6)2 = 16. Determine the length of the radius.
1 answer:
Answer:
see explanation
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x + 4)² + (y + 6)² = 16 is in this form
with r² = 16 ⇒ r = = 4
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given (h, k) = (5, 2) and r = 20, then
(x - 5)² + (y - 2)² = 400 ← represents the delivery area
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Answer:
Step-by-step explanation:
Let's use the definition of the Laplace transform and the identity given: with
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Now, . Using integration by parts with u=e^(-st) and dv=cos(5t), we obtain that
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Using integration by parts again with u=e^(-st) and dv=sin(5t), we obtain that
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Solving for F(s) on the last equation, , then the Laplace transform we were searching is
Answer:
The initial value is 900
It is experiencing exponential growth by 27%
Step-by-step explanation:
Exponential functions are in the form , where a is the initial value, b is the multiplier, and x is the input, such as how many years past a certain date.
Exponential growth is when the multiplier is above 1.00, or above 100%, because b is determined by 1 + r if you have exponential growth, or 1 - r if you have exponential decay. You will never use negatives with exponential decay.