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2 years ago

The equation of a circle is given below:

1 answer:

8 0

The center of the circle will be (4, -3) and the radius of the circle will be 6 units. Then the correct option is A.

<h3>What is an equation of a circle?</h3>

A circle can be characterized by its center's location and its radius's length.

Let the center of the considered circle be at the (h,k) coordinate.

Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x - h)² + (y - k)² = r²

The equation is given below.

x² - 8x + y² + 6y - 11 = 0

x² - 8x + y² + 6y = 11

Then the center and the radius of the circle will be

x² - 8x + 16 + y² + 6y + 9 = 11 + 16 + 9

(x - 4)² + (x + 3)² = 36

(x - 4)² + (x + 3)² = 6²

Thus, the center and the radius of the circle will be (4, -3) and 6 units respectively.

Learn more about the equation of a circle here:

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Can someone give me a simple explanation on how to simplify radicals.

s2008m [1.1K]

Answer:

Step 1: Determine the prime factors of the number under the root. Step 2: Write the prime factors in groups. Step 3: Simplify any multiplication and exponents. Step 4: Simplify the radical until no further simplification can be done.

Step-by-step Have explanation:

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2 years ago

Simplify 6y+5y+2 <br> Please help!!!!

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4 years ago

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A sphere with a mass of 12 g has a radius measuring 2 cm. What is its density?

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3 years ago

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Find the first four iterates of the function f(x) = x2 with an initial value of x0 = -1.

jasenka [17]

Option A: 1,1,1,1 is the right answer

Step-by-step explanation:

In finding the function iterates we start with the initial value and put the initial value into the function and then the output of previous iterate is used as input for next iterate

Given

$f(x) = x^2\\and\\x_0 = -1$

<u>First iterate: </u>

Putting x=-1 in the function

$f(-1) = (-1)^2\\=1$

<u>Second iterate:</u>

Putting x=1

$f(1) = (1)^2\\=1$

<u>Third iterate:</u>

Putting x=1

$f(1) = (1)^2\\=1$

<u>Fourth iterate:</u>

Putting x=1

$f(1) = (1)^2\\=1$

First four iterates of given function with initial value -1 are: 1,1,1,1

Hence,

Option A: 1,1,1,1 is the right answer

Keywords: Functions, iterates

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4 years ago

Fill in the blanks to complete the sentence. The Perez family and the Smyth family are each taking road trips. The Perez family

S_A_V [24]

Answer:

perez travels 390 miles. smyth 300 miles

Step-by-step explanation:

65 ×6 =390. 50 × 6 = 300

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3 years ago