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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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Answer:

79.2

Step-by-step explanation:

6 0
3 years ago
What would be the equation -2x+y+3=0 in y=mx+b form?
ololo11 [35]

Answer:

The answer is y = 2x - 3.

Step-by-step explanation:

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Then, move 3 to the right side of the equation by subtracting it form both sides:

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8 0
3 years ago
In the figure, a∥e , m∥n , and m∠2 = 112°.
MatroZZZ [7]

Answer

Find out the  m∠6  .

To prove

As given

a∥e , m∥n , and m∠2 = 112°.

As  m∥n

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Thus

∠ 2 = ∠3 ( Corresponding angle property )

∠3 = 112°

Also

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Therefore

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3 0
3 years ago
Read 2 more answers
Use the formula for the area of a circle to solve for the radius of the circle if the area is 78.5cm^2
postnew [5]

Answer:

Area = PI * radius^2

radius = Sq Root (Area / PI)

radius = Sq Root (78.5 / PI)

radius = Sq Root (24.9873260654)

radius = 4.9987

radius = 5 (rounded)



Step-by-step explanation:


5 0
3 years ago
What is the slope of the line that passes through points (6, 7) and (4, 2)?
Maslowich

The slope is 2.5!

y=2.5x-8

Hope this helps!

8 0
3 years ago
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