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Anna35 [415]
3 years ago
7

The graph of the equation LaTeX: x^2+y^2-20x+14y+28=0

Mathematics
1 answer:
belka [17]3 years ago
8 0

Answer:

radius = 11

Step-by-step explanation:

The equation of a circle in general form is

x² + y² + 2gx + 2fy + c = 0

with radius = \sqrt{g^2+f^2-c}

x² + y² - 20x + 14y + 28 = 0 ← is in general form

with 2g = - 20 ⇒ g = - 10

2f = 14 ⇒ f = 7 and c = 28, thus

radius = \sqrt{(-10)^2+7^2-28} = \sqrt{100+49-28} = \sqrt{121} = 11

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The difference of 6 and twice a number of is negative 18
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Answer:

1.

Step-by-step explanation:

1. 2x-4=10

2x=14

x=7

2. 3x+3=2x-1

3x-2x=-1-3

x=-4

3. 7x+x=24

8x=24

x=3(

4. 5+x=-18

x=-18-5

x=-23

5. -14=10-6x

6x=10+14

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6. 2x-2=x+12

2x-x=12+2

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7. 3x-31=2

3x=2+31

3x=33

x=11

8. 5x-14=16

5x=16+14

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9. 2x+8=4(5-x)

2x+8=20-4x

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10. 2x-3=3(1+x)

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8 0
2 years ago
How many ways can a dance instructor send 4 of her 11 students to a summer dance program?
Sedaia [141]

Answer:

d) 330

Step-by-step explanation:

The number of ways can a dance instructor send 4 of her 11 students to summer dance program is  C(11 , 4)

That is 11_{C_{4} } ways

by using formula n_{C_{r} } = \frac{n!}{(n-r)!r!}

now simplification

11_{C_{4} } = \frac{11!}{(11-4)!4!}

      = \frac{11X10X9X8X7!}{(7!)4X3X2X1}

after cancelling 7! and on simplification

   = \frac{11X10X9X8}{4X3X2X1}

after cancellation we get 330 ways

The number of ways can a dance instructor send 4 of her 11 students to summer dance program is 330

   

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Answer:

"2 units" is the answer.

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