Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36

Answers

Answer 1

Answer:

[tex]x^2+(y-3)^2=36\\[/tex] and [tex]x^2+(y+8)^2=36[/tex]

Step-by-step explanation:

So the general formula for a circle is usually represented as: [tex](x-h)^2+(y-k)^2=r^2[/tex] where (h, k) is the center of the circle and r is the radius of the circle.

Since the diameter is 12, the radius is going to be 6, because the radius is half the diameter. We now square that value (since it's squared in the equation), you get 36, which is going to be on the right side.

The last thing to know is since it's on the y-axis, that means h=0, since if h didn't equal 1, it would either be to the right or left of the y-axis. So the equation should look something like this: [tex]x^2+(y-k)^2=36[/tex] where k can be any real number.

So this gives you the two equations:
[tex]x^2+(y-3)^2=36\\[/tex] and [tex]x^2+(y+8)^2=36[/tex]


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Step-by-step explanation:

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Step-by-step explanation:

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Using Proportions to Make a Prediction
Of 25 grocery store shoppers, 14 said that their family’s favorite breakfast is cereal bars. Predict how many of 500 families at grocery store would buy cereal bars.





Of 200 radio-controlled cars that were manufactured by one company, 3 were defective. The company manufactures 1000 cars each day. About how many
defective cars would you predict are produced each day?


HELP......HELP......HELP

Answers

○=> Solution (1) :

Ratio of people who said they like cereal bars to people who said they don't = 14:11

Number of people at a grocery shop = 500

Which means :

[tex] =\tt \frac{14}{25} \times 500 [/tex]

[tex] =\tt \frac{14 \times 500}{25} [/tex]

[tex] = \tt \frac{7000}{25} [/tex]

[tex] \color{plum}= \tt280 \: people[/tex]

Thus, 280 people would buy cereal bars.

▪︎Therefore, out of 500 people, 280 people would buy cereal bars.

○=> Solution (2) :

Ratio of cars which worked well to cars which were defective = 297:3

Number of care produced each day = 1000

Number of defective cars produced each day :

[tex] = \tt \frac{3}{200} \times 1000[/tex]

[tex] =\tt \frac{3 \times 1000}{200} [/tex]

[tex] = \tt\frac{3000}{200} [/tex]

[tex]\color{plum} = \tt15 \: defective \: cars[/tex]

Thus, 15 defective cars are produced.

▪︎Therefore, out of 1000 cars produced each day, 15 cars are defective.

Please help me again!

Answers

Answer:

144

Step-by-step explanation:

First subtract 180 from 20% of 180.

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Is my answer correct???

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Answer:

Yes! Great job!

Hope that helps!

yes it is correct!!!!!!!!!!!!!!!!!!!!!!

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Answers

Answer:

12, -1 its the answer

Step-by-step explanation:

1. subtract 12 from both sides

2. simplify which looks like this x^2- 11x - 12=0

3.solve with the quadratic formula

4.separate the solutions

and there you go

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when i do proofs, i always have notes that tell me the answer. maybe look in your book, sometimes they r in there! hope this helps
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Answers

Answer:

x = 9

Step-by-step explanation:

3 - √x = 0

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Answers

9514 1404 393

Answer:

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Step-by-step explanation:

The difference is ...

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Answers

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Answers

Answer and explanation:

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Answers

Answer:

d = [tex]\frac{11}{12}[/tex]

Step-by-step explanation:

1) To solve for d, isolate it in the equation. So, to get rid of the [tex]-\frac{1}{2}[/tex] with the d, add [tex]\frac{1}{2}[/tex] to both sides.

[tex]d-\frac{1}{2} = \frac{5}{12} \\d - \frac{1}{2} +\frac{1}{2} = \frac{5}{12} + \frac{6}{12} \\d = \frac{11}{12}[/tex]

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation: In the attachment

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Do Ilboe.org bookmarks
Lesson 2 Review...
< Exit
Topic 5 Assessment
IMPLAYER
Drag each expression to its equivalent expression. Each expression may be used only once.
+ 1
4
1
X +
+1
3
Expression
Equivalent Expression
-
3
4
1
4
+
3
+
3
4
See

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You can do this just believe in your self
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Step-by-step explanation:

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the process shown in the picture.

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Answer:

Original Equation: 2+n=16

Subtract 2 from both sides: 2+n-2=16-2

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Hope this helps!

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Answer:

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Answer:

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Step-by-step explanation:

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Answers

we can reduce it by multiplying 3 with -33
X>=-99 that’s your final answer!! I’m sorry about the sign. I couldn’t type it here

Answer:

x ≥ -99

Step-by-step explanation:

Its on khan academy

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