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kati45 [8]
3 years ago
14

What is the center of the circle and radius defined by the following equation? x2+y2+4y=5

Mathematics
1 answer:
vovangra [49]3 years ago
7 0

Answer:

Step-by-step explanation:

Alternate forms:

x^2 + y (y + 4) = 5

x^2 + y^2 + 4 y - 5 = 0

Solutions:

y = -sqrt(9 - x^2) - 2

y = sqrt(9 - x^2) - 2

Integer solutions:

x = ± 3, y = -2

x = 0, y = -5

x = 0, y = 1

Implicit derivatives:

(dx(y))/(dy) = -(2 + y)/x

(dy(x))/(dx) = -x/(2 + y)

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20=8+3(12+4x) Please help<br> It's really hard
nataly862011 [7]
So first, you have to remember the order of operations. That means that whatever is in the parentheses is what has to be done first
However, because one of the numbers in the parentheses is a variable and the other isn't, we can distribute instead
Therefore, 3(12+4x) distributes by multiplying the 3 into both numbers in the parentheses. So we get 36+12x
Now the equation is 20=8+36+12x
Now, bring all numbers without variables on the left side

20-8-36=8-8+36-36+12x
20-8-36=12x

Now simplify

20-8-36=12x
12-36=12x
-24=12x

Divide both sides by 12, and you get x=-2

Hope this helped!!! :D
4 0
3 years ago
Read 2 more answers
You have 800 quarter-inch-long beads. if you use them all to make 16 bracelets, what will be the rate of beads per bracelet
Murljashka [212]
50 bead per bracelet 
5 0
3 years ago
Which equation represents the volume of a cone with the same base and height as the cylinder below?
Firdavs [7]

Answer:

Volume of cone = (1/3) * Volume of cylinder

Step-by-step explanation:

Use the formulas

Volume of cone = (1/3)* π r^2 *h

Volume of cylinder =  π r^2 *h

Therefore

Volume of cone = (1/3) * Volume of cylinder

7 0
3 years ago
The equation of a circle is (x + 4)2 + (y + 6)2 = 16. Determine the length of the radius.
Viefleur [7K]

Answer:

see explanation

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x + 4)² + (y + 6)² = 16 is in this form

with r² = 16 ⇒ r = \sqrt{16} = 4

---------------------------------------------------------------

given (h, k) = (5, 2) and r = 20, then

(x - 5)² + (y - 2)² = 400 ← represents the delivery area


5 0
3 years ago
Look at image for question
kotegsom [21]

Answer:

r=0.5 or 1/2

Step-by-step explanation:

if you multiply 0.5 to each Xs you can find out why r is 0.5

8 0
3 years ago
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