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ElenaW [278]
3 years ago
14

Middle school math problem

Mathematics
1 answer:
irina [24]3 years ago
4 0

Answer:

12%

Step-by-step explanation:

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Identify the center and radius from the equation of the circle given below. x^2+y^2+121-20y=-10x
Tcecarenko [31]

Answer:

Center: (-5,10)

Radius: 2

Step-by-step explanation:

The equation of the circle in center-radius form is:

(x-h)^2+(y-k)^2=r^2

Where the point (h,k)  is the center of the circle and "r" is the radius.

Subtract 121 from both sides of the equation:

x^2+y^2+121-20y-121=-10x-121\\x^2+y^2-20y=-10x-121

Add 10x to both sides:

x^2+y^2-20y+10x=-10x-121+10x\\x^2+y^2-20y+10x=-121

Make two groups for variable "x" and variable "y":

(x^2+10x)+(y^2-20y)=-121

Complete the square:

Add (\frac{10}{2})^2=5^2 inside the parentheses of "x".

Add  (\frac{20}{2})^2=10^2  inside the parentheses of "y".

Add 5^2 and 10^2 to the right side of the equation.

Then:

(x^2+10x+5^2)+(y^2-20y+10^2)=-121+5^2+10^2\\(x^2+10x+5^2)+(y^2-20y+10^2)=4

Rewriting, you get that the equation of the circle in center-radius form is:

 (x+5)^2+(y-10)^2=2^2

You can observe that the radius of the circle is:

r=2

And the center is:

(h,k)=(-5,10)

6 0
3 years ago
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I have $1500 to invest in an account that pays 1.25% compounded continuously. How much money will I have after 10 years?
S_A_V [24]

I hope you find my answer helpful I got 39,000.

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3 years ago
2,222.222. Explain what happens to the place value of the 2 as the 2 moves to the right.
Naddika [18.5K]
It is becoming a smaller place value such as 2,000->200-> 20-> 2
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4 years ago
Which of the following are examples of irrational numbers? select all that apply.​
Klio2033 [76]

Answer:

The second one because 5 is not a perfect square root.  The third one because 24 is not a perfect square. Also the last one. Their all irrational because you don't know what is coming next.

Step-by-step explanation:

5 0
3 years ago
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For exercise, Francesca walks laps around a track. She walked 1.61 laps around the track in 7 minutes. If each lap is 440 yards,
Vladimir79 [104]

If each lap is 440 yards, Francesca walked 115 yards per minute.

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