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Ber [7]
3 years ago
5

Find the center and radius of a circle given the equation:

20%28y%20%2B%203%29%5E%7B2%7D%20%3D%20%5Cfrac%7B16%7D%7B9%7D" id="TexFormula1" title="(x - 2)^{2} + (y + 3)^{2} = \frac{16}{9}" alt="(x - 2)^{2} + (y + 3)^{2} = \frac{16}{9}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
dimulka [17.4K]3 years ago
3 0

Step-by-step explanation:

Equation of a circle is:

(x − h)² + (y − k)² = r²

where (h, k) is the center and r is the radius.

So in this case, the center is (2, -3) and the radius is 4/3.

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\frac{y2 - y1}{x2 - x1}  = m

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Answer:

52 cm²

Step-by-step explanation:

First, we find the area of the bottom rectangle. We see it's 4 high and 10 wide, so 4x10 is 40. Then, we see that the small figure in the top right has a height of 4 and width of 3, so 4x3 = 12, add those and you get 52.

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Why do you think gas stations often quote a price per gallon that ends in 9/10 of a cent? Do you think this is an appropriate us
arlik [135]
The practice of tacking 9/10 of a cent on the end of a gas price goes back to when gas cost only pennies per gallon and was a tax imposed by state and federal governments. Gas stations added the fraction of a cent on the end of the price instead of rounding up the price.
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3 years ago
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mote1985 [20]
The answer is one solution
8 0
3 years ago
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If f(x)=2x and g(x)= 1/x, what is the domain of (f*g) (x)
postnew [5]

Answer:

The domain of (f*g) (x) is the set of all real numbers; ( -∞, ∞)

Step-by-step explanation:

(f*g) (x) simply means we obtain the product of f(x) and g(x). We are given that;

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(f*g) (x) = 2x * 1/x = 2

This is a horizontal line defined everywhere on the real line. The domain of  (f*g) (x) is thus ( -∞, ∞)

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