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1 answer:
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Answer:
(x, y) = (0, -26)
Step-by-step explanation:
The y-intercept is the y-value that corresponds to x=0. Here, we have a table that has x-values that differ by 12 and 24. We want to find the y-value that corresponds to an x-value 24 less than the lowest one on the table:
24 -24 = 0
We notice that when x-values differ by 24, the y-values differ by 10 -(-8) = 18. So, the y-value we want is 18 less than the lowest one in the table:
y = -8 -18 = -26
The (x, y) coordinates of the y-intercept are (0, -26).
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Answer:
in
Step-by-step explanation:
The formula to find the area of a circle: , where
is the radius.
The formula to find the circumference (perimeter) of a circle: , where
is the radius.
1) To find the circumference of the circle, we need to find the radius () first. Since the area of the circle is given to us, we need to equate this to the formula to find the area of a circle.
Cancel the by bringing it to the other side.
÷
2) Find the circumference of the circle by using the formula, .
=
= in
Check the picture below.
the man is going North, and he has a rate of 5 f/s, she's going south, 500 miles from P, the green distance, and she's going 6 f/s.
by the time she started walking, he already had been walking for 5 minutes, or 300 seconds, since he's going 5 f/s, then he had already covered 1500 feet by then.
after that, they both walked for 15 minutes more or 900 seconds, and for her that means 5400 feet, whilst for him going slower means 4500 feet, as you see in the picture.
since he's going North and she's going South, dy/dt is the combined rates, as you see there.
now, let's use the pythagorean theorem, bearing in mind that the green 500 feet are constant all the while, that matters because the derivative of a constant is 0.
so, what is "r" value 15 minutes later anyway?
then we just plug those folks in the derivative,
the man is going North, and he has a rate of 5 f/s, she's going south, 500 miles from P, the green distance, and she's going 6 f/s.
by the time she started walking, he already had been walking for 5 minutes, or 300 seconds, since he's going 5 f/s, then he had already covered 1500 feet by then.
after that, they both walked for 15 minutes more or 900 seconds, and for her that means 5400 feet, whilst for him going slower means 4500 feet, as you see in the picture.
since he's going North and she's going South, dy/dt is the combined rates, as you see there.
now, let's use the pythagorean theorem, bearing in mind that the green 500 feet are constant all the while, that matters because the derivative of a constant is 0.
so, what is "r" value 15 minutes later anyway?
then we just plug those folks in the derivative,