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Doss [256]
3 years ago
8

Whats the radius for the circle? x^2+2x+y^2+4y-6=0

Mathematics
1 answer:
MAXImum [283]3 years ago
5 0

Answer:

r = \sqrt{11}

Step-by-step explanation:

So we need to complete the square for both parts of the equation

First though we can add the 6 to the other side so we have x² + 2x + y² + 4y = 6

So first we can complete the square for x² + 2x

To do so we need to use (\frac{b}{2} )^{2} to figure out the number we need to add to both sides

In this case our b is 2, so substituting this in we get (\frac{2}{2} )^{2} =(1)^{2} =1

Here we add 1 to both sides and now we have x² + 2x + 1 + y² + 4y = 6 + 1

Now we can follow the same steps to complete the square for y² + 4y

Here our b is 4, so substituting this in we get (\frac{4}{2} )^{2}=(2)^{2} =4

Now we add 4 to both sides and now we have x² + 2x + 1 + y² + 4y + 4 = 6 + 1 + 4

Now condensing everything we have (x + 1)² + (y + 2)² = 11

The formula for a circle is (x - h)² + (y - k)² = r²

In our equation we have r² = 11

To find the radius we need to take the square root of both sides \sqrt{r^{2}}  =\sqrt{11} to get r = \sqrt{11}

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gavmur [86]
24 divided by 3/4= 24*4/3=32books
7 0
3 years ago
Problem referred below <br> please help
zaharov [31]

Answer:

60

Step-by-step explanation:

Perimeter = 2l + 2w

57x2 = 114

234 - 114 = 120

120 / 2 = 60

6 0
2 years ago
Which expression is equivalent to (<img src="https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E2%7D" id="TexFormula1" title="\sqrt[3]
crimeas [40]

Answer:

vkcjkvio

Step-by-step explanation:

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6 0
3 years ago
The ratio of the number of fiction book is 9:4, the different between the number of fiction and non fiction is 245
Evgesh-ka [11]

Answer:

Step-by-step explanation:

The ratio of the number of fiction books is 9:4

 the difference between the number of fiction and nonfictionn is 245

so if the number of fiction books = 9x

then the number of nonfiction books = 4x

then difference = 9x-4x = 5x

the difference is given 245

then 5x= 245

x=\frac{245}{5}=49

number of fiction books =49×9=441

number of nonfiction books =49×4=196

brainly.com/question/27979540?answering=true&answeringSource=feedPublic%2FhomePage%2F12

#SPJ2

8 0
2 years ago
TIME REMAINING
Leya [2.2K]

Answer:

w=-7/2z

Step-by-step explanation:

to solve for w you firstly have to group the like terms

5w-3w=2z-9z

2w=-7z

then you have to divide both sides by 2 inorder to remain with w on one side.

2w/2=-7/2

w=-7/2

I hope this helps

3 0
3 years ago
Read 2 more answers
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