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belka [17]
1 year ago
9

Find the center (h,k) and radius r of the circle with the given equation. 3(x+2)² +3(y-5)² = 108

Mathematics
1 answer:
Solnce55 [7]1 year ago
5 0

Answer: Center (-2,5) and radius 6

Step-by-step explanation:

Dividing both sides by 3, we get (x+2)^2 + (y-5)^2 = 36

So, the center is (-2,5) and the radius is \sqrt{36}=\boxed{6}

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Today, everything at a store is on sale. The store offers a 20% discount.
kotykmax [81]

Answer:

a) $19.2

b) 0.8x

c) $17.5

Step-by-step explanation:

1. We want to find the discount price given the regular price

The discount is 20%

so the discount price will be;

24 - 20% of 24

24 - 4.8 = $19.2

b) We have this as;

x - (20% of x)

x - 0.2x = 0.8x

c) let the original price be x

x - 20% of x = 14

x - 0.2x = 14

0.8x = 14

x = 14/0.8

x = $17.5

6 0
3 years ago
Common ratio of 135,45, 15, 5,
olchik [2.2K]

9514 1404 393

Answer:

  1/3

Step-by-step explanation:

If the ratio is common, you can choose any successive numbers to compute it. Smaller numbers may be more familiar. The ratio is ...

  5/15 = 1/3

4 0
2 years ago
A marathon is 26.2 miles long. There is a water station every 114 miles along the race route. How many water stations are needed
Aleks [24]

Answer:

I think 21

Step-by-step explanation:

7 0
3 years ago
Explain what the Diameter is and how is the radius related to it.
horrorfan [7]

Answer:

The diameter is any straight line that passes through the center of the circle, which endpoints can lie on. The radius is half the diameter. They help us find the circumference of a circle

6 0
2 years ago
Read 2 more answers
3x - y = 7
Nastasia [14]

Answer:

C) -3x=-3

Step-by-step explanation:

When you subtract the 3x-y=7 from 6x-y=10, you will receive the following equation:

3x-6x-y-(-y)=7-10

-3x-y+y=-3

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As we can see, this equation matches the one in option C, meaning that it's our answer!

6 0
2 years ago
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