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3 years ago

Simplify this equation

Mathematics

1 answer:

siniylev [52]3 years ago

8 0

Answer: 3x/(x-3)(x+1)

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The equation of a circle is x2 + y2 + 6x + 4y + 10 = 1. What is this equation written in its standard form?

Marrrta [24]

Option A: $(x+3)^2+(y+2)^2=4$ is the equation of the circle

Explanation:

The equation of the circle is $x^{2} +y^2+6x+4y+10=1$

We need to write the equation of the circle in standard form.

Let us subtract 10 from both sides of the equation.

Thus, we have,

$x^{2} +y^2+6x+4y=-9$

Grouping the terms,we have,

$(x^{2} +6x)+(y^2+4y)=-9$

Now, we shall complete the square, let us add and subtract the equation by 9 to write the term $\left(x^{2}+6 x\right)$ in the form of $(a+b)^2$

Thus, we have,

$(x^{2} +6x+9-9)+(y^2+4y)=-9$

Simplifying, we get,

$(x^{2} +6x+9)+(y^2+4y)=-9+9$

$(x+3)^2+(y^2+4y)=0$

Similarly, we shall complete the square for the term $\left(y^{2}+4 y\right)$ in the form of $(a+b)^2$

Thus, we have,

$(x+3)^2+(y^2+4y+4-4)=0$

Simplifying, we get,

$(x+3)^2+(y^2+4y+4)=4$

$(x+3)^2+(y+2)^2=4$

Thus, the equation of the circle in standard form is $(x+3)^2+(y+2)^2=4$

Hence, Option A is the correct answer.

3 0

4 years ago

Edgar has a goal to run 60 miles. He has already completed twelve miles. If he averages three miles per day, how many more days

frosja888 [35]

Answer:

Step-by-step explanation:

60-12=48

48÷3=16

3 0

3 years ago

Read 2 more answers

| f − 6 | = | f + 8 |

ikadub [295]

Answer:

f = - 1

Step-by-step explanation:

f - 6 = f + 8

f - 6 = - (f + 8)

f ∈ ∅

f - 6 = - (f + 8)

8 0

3 years ago

the celluloid cinema sold 150 tickets to a movie. some of these were child tickets cost $7.75 and an adult ticket cost $10.25. i

Citrus2011 [14]

Answer:

a + c = 150

7.75a + 10.25c = 1470

Step-by-step explanation:

a = adult

c = child

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4 0

3 years ago

I dont understand this question pleade help

fenix001 [56]

Answer:

8.9

Step-by-step explanation:

${a}^{2} + {b}^{2} = {c}^{2} \\ {(8)}^{2} + {b}^{2} = {(12)}^{2} \\ 64 + {b}^{2} = 144 \\ \sqrt{ {b}^{2} } = \sqrt{80} \\ b = 4 \sqrt{5} \: or \: 8.9$

6 0

3 years ago