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Schach [20]
3 years ago
15

Show that the equation represents a circle by rewriting it in standard form, and find the center and radius of the circle.

Mathematics
1 answer:
sashaice [31]3 years ago
4 0
<span>5x^2 + 5y^2 + 10x − y = 0 it is the same of </span>
<span>x^2 + y^2 + 2x −1/5y = 0
and then </span>
(x + 1)^2 - 1+  (<span><span>y−1/10)^2  -1/100=0
</span> </span>(x + 1)^2 +  (<span>y −1/10)^2  =(101/100)

the center is C(-1, 1/10), and the radius is R= sqrt(101)/10
</span>
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Mrs. Nally's swimming pool is 10 feet by 6 feet. She paves the area around it with a sidewalk x feet wide, using 80 square feet
andrew11 [14]

Answer:

The sidewalk is 2 feet wide

Step-by-step explanation:

The area of the sidewalk is given as 80 square feet

The length and width of pool

including side walks will be;

10 + 2x and 6 + 2x

To get the area of the side walk

That will be area of total minus area of the pool

That will be ;

(10 + 2x)(6 + 2x) - 10(6) = 80

60 + 12x + 20x + 4x^2 - 60 = 80

4x^2 + 32x -80 = 0

x^2 + 8x -20

x^2 + 10x - 2x - 20 = 0

x(x + 10) -2(x + 10) = 0

(x-2)(x + 10) = 0

x = 2 or -10

since width cannot be negative;

The sidewalk is 2 feet wide

6 0
3 years ago
1. Simplify the expression: <img src="https://tex.z-dn.net/?f=%282x%5E%7B2%7D%20y%29x%5E%7B3%7D" id="TexFormula1" title="(2x^{2}
liubo4ka [24]

Answer:

2·x^5·y

Step-by-step explanation:

2x^5y

4 0
3 years ago
HELP!<br><br> Simplify: (picture below)<br><br> A. 4<br><br> B. 8<br><br> C. 32<br><br> B. 16
Marianna [84]

Answer:

Step-by-step explanation: The answer is B

6 0
3 years ago
Read 2 more answers
Two fair six-sided dice are rolled. What is the probability that the sum of the numbers rolled is either 7 or 11?
Llana [10]
There is 36 ways the dice come up, 6 for each dice. thats 8/36 or 2/9. :)

8 0
4 years ago
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8_murik_8 [283]
if that’s what you are asking 1.358899
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