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Elis [28]
1 year ago
10

The equation x2 - 12x - 60 = -y2 - 4y describes a circle in the coordinate plane. find the radius of the circle and the coordina

tes of its
center.
Mathematics
1 answer:
34kurt1 year ago
8 0

Answer:

r = 10 , centre = (6, - 2 )

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

given

x² - 12x - 60 = - y² - 4y ( add y² + 4y to both sides )

x² - 12x + y² + 4y - 60 = 0 ( add 60 to both sides )

x² - 12x + y² + 4y = 60

using the method of completing the square

add ( half the coefficient of the x and y terms )² to both sides

x² + 2(- 6)x + 36 + y² + 2(2)y + 4 = 60 + 36 + 4

(x - 6)² + (y + 2)² = 100 ← in standard form

with centre = (6, - 2 ) and r = \sqrt{100} = 10

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Find an approximate equation y=ab^x with the coordinates (0, 4) (3, 95)
bogdanovich [222]
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4=ab^{0}⇒4=a
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7 0
3 years ago
A girl ran to the store at a speed of 6mph, and walked back at 4mp. If her round trip took 15 minutes, how far away is the store
MariettaO [177]

Answer:

0.6 miles

Step-by-step explanation:

Let's say the store is x miles away, she walks to the store in a hours, and she walks back in b hours.

First, her total time = time walked there + time walked back = a + b = 15 minutes = 1/4 of an hour = 0.25 hours

a + b = 0.25 (because a and b are in hours)

distance = speed * time

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add 4a to both sides to isolate a and its coefficient

1 = 10a

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6(0.1) = x

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the store is 0.6 miles away

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2 years ago
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