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Rudiy27
3 years ago
15

The center of a circle is at (–10, 6) and it has a radius of 4. What is the equation of the circle?

Mathematics
2 answers:
HACTEHA [7]3 years ago
6 0
1) 

The equation of the circle with the given radius and center is D. (x+10)² + (y-6)² = 16

That is because the format of the equation of the circle is (x - h)² + (y-k)² = r²

So if you substitute in the values for the variables the answer will be choice D.

2)

Tom can walk 6 miles away because 6 is the radius in the given equation.

Hope this helps :)
mihalych1998 [28]3 years ago
3 0
This is for the previous one

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The sales tax in one state is 5%. Write a function rule for finding the total cost of an item with selling price x. Then find the total cost of a CD player with a selling price of $110.

A. f(x) = 5 + x; $111.05

B. f(x) = 0.05x; $5.50

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total cost = (price) + (5% of price)

f(x) = x + 0.05x

f(x) = 1.05x

So the function is f(x) = 1.05x

Plug in x = 110 to get

f(x) = 1.05x

f(110) = 1.05*110

f(110) = 115.50

The item costs $115.50 (after tax is added on)

Step-by-step explanation:

1:    the total cost of a CD player would be 104.76

2:    Total Cost = (price) + (5% of price)

f(x) = x + 0.05x

f(x) = 1.05x

So the function is f(x) = 1.05x

Plug in x = 110 into the function

f(110) = 1.05*110

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The item costs $115.50

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f(x) = .05x

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