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3 years ago

Which equation represents a circle with a center at (–3, –5) and a radius of 6 units?

Mathematics

2 answers:

Ipatiy [6.2K]3 years ago

6 0

My answer:

(x+3)^2+(x+5)^2=6^2

which is:

(x+3)^2+(x+5)^2=36

dolphi86 [110]3 years ago

5 0

(x+3)²+(x+5)²=6²
(x+3)²+(x+5)²=36

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Help please thank you!

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Step-by-step explanation:ur welcome

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Answer:

Vertex form: $f(x) =(x +\frac{7}{2})^2 -\frac{53}{4}$

The vertex is $(-\frac{7}{2},-\frac{53}{4})$

Step-by-step explanation:

For a general quadratic function the form is:

$ax ^ 2 + bx + c$

For the function

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The values of the coefficients for the function are the following: $a = 1$ , $b =7$ , $c = -1$

Take the value of b and divide it by 2. Then, the result obtained squares it.

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Add and subtract $\frac{49}{4}$

$f(x) = (x ^ 2 +7x +\frac{49}{4}) -\frac{49}{4}- 1$

Write the expression of the form

$f(x) = (x+\frac{b}{2})^2 +k$

$f(x) =(x +\frac{7}{2})^2 -\frac{53}{4}$

The vertex is $(-\frac{7}{2},-\frac{53}{4})$

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3 years ago

Which of the following rules represents the function graphed

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let the short side = x

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