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tangare [24]
3 years ago
13

The diameter of a circle has endpoints at (0,11) and (-6,-1). Write the equation of the circle in standard form.

Mathematics
1 answer:
Nata [24]3 years ago
8 0

Answer:

(x - 3)^2 + (y - 6)^2 = 17

Step-by-step explanation:

The standard form of a circle's equation is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius.

(x - 3)^2 + (y - 6)^2 = 17

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Composition of functions Find g (f(x)) for the following problems
beks73 [17]

1.

f(x)=-3x\qquad g(x)=5x-6\\\\g(f(x))=5(-3x)-6=\boxed{-15x-6}

2.

f(x)=x-6\qquad g(x)=x^2+6x-2\\\\g(f(x))=(x-6)^2+6(x-6)-2=x^2-12x+36+6x-36-2=\\\\=\boxed{x^2-6x-2}

3.

f(x)=4x+3\qquad g(x)=2x^2-x+1\\\\g(f(x))=2(4x+3)^2-(4x+3)+1=2(16x^2+24x+9)-4x-3+1=\\\\=32x^2+48x+18-4x-3+1=\boxed{32x^2+44x+16}

4.

f(x)=2x^2\qquad g(x)=8x^2+3x\\\\g(f(x))=8(2x^2)^2+3(2x^2)=8\cdot4x^4+6x^2=\boxed{32x^4+6x^2}

7 0
3 years ago
Which pyramids with base area B and height h have equal volumes?
Pachacha [2.7K]
Option A:

V = 1/3 * b^2 * h

V = 1/3 * 10.5^2 * 6

V = 1/3 * 110.25 * 6

V = 220.5

Option B:

V = 1/3 * b^2 * h

V = 1/3 * 3.6^2 * 8

V = 1/3 * 12.96 * 8

V = 34.56

Option C:

V = 1/3 * b^2 * h

V = 1/3 * 4.2^2 * 12

V = 1/3 * 17.64 * 12

V = 70.56

Option D:

V = 1/3 * b^2 * h

V = 1/3 * 6^2 * 8.4

V = 1/3 * 36 * 8.4

V = 100.8

I guess it's 'None of the Above'
3 0
3 years ago
How do you write 7 29/80 (mixed number) to a decimal?
Finger [1]
A fraction can be viewed as a division problem, and a mixed number can be viewed as an addition problem. So,
7 29/80 can be read as:

7+29÷80

Follow the order of operations and you'll have your decimal.

7+29÷80
7+0.3625
7.3625
6 0
3 years ago
Factor 6x^2-4x I need help solving please
horrorfan [7]

Answer:

2x(3x-2)

Step-by-step explanation:

3 0
3 years ago
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A BMW that cost $71,000 in 2003 depreciates in value about 15% a year. How much was it worth in 2013?
N76 [4]
100-15= 85% 

2013-2003= 10 years

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6 0
3 years ago
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