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4 years ago

How do you write the equation of a circle with the center (6,2) and radius r=8?

Mathematics

2 answers:

Gnoma [55]4 years ago

5 0

Circle equation: (x - h)² + (y - k)² = r²

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

(x - 6)² + (y - 2)² = 8²

(x - 6)² + (y - 2)² = 64

Best of Luck!

Tema [17]4 years ago

3 0

Answer:

(x-6)^2 + (y-2)^2 = 64

Step-by-step explanation:

We can write the equation of circle as

(x-h)^2 + (y-k)^2 = r^2

Where (h,k) is the center and r is the radius

(x-6)^2 + (y-2)^2 = 8^2

(x-6)^2 + (y-2)^2 = 64

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As we know that there are 52 weeks in a year, therefore, n = 52, substitute the values,

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As we know that there are 365 days in a year, therefore, n = 365, substitute the values,

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C.) When the interest is charged Continuously,

As we know that the formula for continuous compounding is given as,

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Substitute the values, we will get,

$A = 15000 \times (e^{0.024 \times 5})\\\\A= \$16,912.45$

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As we know that there are 12 months in a year, therefore, n = 12, substitute the values,

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As we know that the interest is charged Semi-annually, therefore, n = 2, substitute the values,

$A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{2})^{2\times 5}\\\\A = \$17,237.36$

F.) When the interest is charged Quarterly,

As we know that the interest is charged Quarterly, therefore, n = 4, substitute the values,

$A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{4})^{4\times 5}\\\\A = \$17,245.7$

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3 years ago

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Enter the correct answer in the box. solve the equation x2 − 16x 54 = 0 by completing the square. fill in the values of a and b

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The roots of the given polynomials exist $x=8+\sqrt{10}$ , and $x=8-\sqrt{10}$ .

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4 years ago

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3 years ago

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