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3 years ago

A circle has a center at (4, -7) and a radius of 4 units. What is the equation of this circle?

Mathematics

1 answer:

Softa [21]3 years ago

7 0

Answer:

$(x-4)^2+(y+7)^2=16$

Step-by-step explanation:

A circle with radius r and centre (a, b) has an equation:

$(x-a)^2+(y-b)^2=r^2$

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Match the following rational expressions to their rewritten forms.

Nookie1986 [14]

Answer:

Answer image is attached.

Step-by-step explanation:

Given rational expressions:

$1.\ \dfrac{x^2+x+4}{x-2}\\2.\ \dfrac{x^2-x+4}{x-2}\\3.\ \dfrac{x^2-4x+10}{x-2}\\4.\ \dfrac{x^2-5x+16}{x-2}$

And the rewritten forms:

$(x-2)+\dfrac{6}{x-2}\\(x+3)+\dfrac{10}{x-2}\\(x+1)+\dfrac{6}{x-2}\\(x-3)+\dfrac{10}{x-2}$

We have to match the rewritten terms with the given expressions.

Let us consider the rewritten terms and let us solve them one by one by taking LCM.

$(x-2)+\dfrac{6}{x-2}\\\Rightarrow \dfrac{(x-2)^{2}+6 }{x-2}\\\Rightarrow \dfrac{x^2-4x+4+6 }{x-2}\\\Rightarrow \dfrac{x^2-4x+10}{x-2}$

So, correct option is 3.

$(x+3)+\dfrac{10}{x-2}\\\Rightarrow \dfrac{(x+3)(x-2)+10}{x-2}\\\Rightarrow \dfrac{(x^2+3x-2x-6)+10}{x-2}\\\Rightarrow \dfrac{x^2+x+4}{x-2}$

So, correct option is 1.

$(x+1)+\dfrac{6}{x-2}\\\Rightarrow \dfrac{(x+1)(x-2)+6}{x-2}\\\Rightarrow \dfrac{x^{2} +x-2x-2+6}{x-2}\\\Rightarrow \dfrac{x^{2} -x+4}{x-2}$

So, correct option is 2.

$(x-3)+\dfrac{10}{x-2}\\\Rightarrow \dfrac{(x-3)(x-2)+10}{x-2}\\\Rightarrow \dfrac{x^2-3x-2x+6+10}{x-2}\\\Rightarrow \dfrac{x^2-5x+16}{x-2}$

So, correct option is 4.

The answer is also attached in the answer area.

7 0

2 years ago

2 poi

jolli1 [7]

Me ayudas por favor es regla de ruffini apretá mi perfil y ve mi pregunta

7 0

3 years ago

Needs 3 and 1/4 cups of oatmeal how many 1/4 cups of oatmeal will she use

Mekhanik [1.2K]

She will need 13 one-fourth cups.
(4 one-fourths times 3 = 12 cups plus another one-fourth)
Hope this helps you!!!

5 0

3 years ago

What's the circumference of a <br> circle with a diameter of 15 inches? <br> Use 3.14 for .

ira [324]

Answer:

C =47.1 inches

Step-by-step explanation:

The circumference is given by

C = pi*d

C = 3.14 * 15

C =47.1 inches

3 0

3 years ago

Solve each system by graphing

Ne4ueva [31]

2,-4 is you awnser. good day to you

5 0

3 years ago