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2 years ago

Given the equation of the circle find the center and the radius: (x - 3)2 + (y + 1)2 = 49

Mathematics

1 answer:

marta [7]2 years ago

3 0

Answer:

(3, -1), 7

Step-by-step explanation:

To find the center of this circle: compare the given equation

(x - 3)^2 + (y + 1)^2 = 7^2 to the standard equation of a circle with center at (h, k):

(x - h)^2 + (y -k)^2 = r^2

From this comparison we see that the center is at

h = 3 and k = -1, and also that r must be 7: (3, -1), 7

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Which equation is y = 2x2 – 8x + 9 rewritten in vertex form?

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3 years ago

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19. For livesh's Model A rocket, he uses the equation h=-490^2+ 1120t. When is the height of the Model A rocket 640 centimeters?

Nadusha1986 [10]

Answer:

t = 1.143 s

Step-by-step explanation:

The equation he uses to model the height of the rocket in cm, as function of time is

h(t) = -490 t^2 + 1120t

We can plot this equation using a graphing tool

Please, see attached picture

The rocket reaches his maximum height (640 cm) at

t = 1.143 s

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