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4 years ago

Why is 5/11 a repeating rational number

Mathematics

1 answer:

Dmitry [639]4 years ago

6 0

Answer:

5/11 is a repeating rational number because it doesn't have infinite non-repeating numbers to the right of the decimal point.

Step-by-step explanation:

5/11 = .45454545

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What is the solution to the following system of equations?<br> y = x2 + 10x + 11<br> y = x2 + x − 7

marishachu [46]

Hello,

y=x²+10x+11
y=x²+x-7

==>x²+10x+11=x²+x-7
==>9x=-18
==>x=-2

Sol={(-2,-5)}

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4 years ago

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Step-by-step explanation:

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3 years ago

You finish 3 homework problems in 10 minutes,Your friend finishes 9 homework problems in 1/2 hour.Are you and your friend workin

lana66690 [7]

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4 years ago

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

You have 10 shirts 2 of them are black what is the probability of not choosing a black shirt.

fredd [130]

80% or 4/5
Since there are 2 blacks shirts and 10 in total the probability is of not poking a black shirt is 8/10 which when reduced is 4/5

7 0

4 years ago

Read 2 more answers