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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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Can u pls help me with this
BabaBlast [244]

Answer:

Problem 1:

x=12, x=3, x=6

Problem 2:

18*3=54

54/18=3

Problem 3:

Part A: 36/4.5=? 4.5*x=36

Part B: 8

Step-by-step explanation:

7 0
2 years ago
Please help with this question, thank you
Semmy [17]
Remark
The key step is just to subtract 5 from both sides. The pointed of the inequality still points away from the variable and towards the number. As long as that remains true, the correct answer can be found.

Solution
2.7 ≤ b + 5  Subtract 5 from both sides.
2.7 - 5 ≤ b
- 2.3 ≤ b      Write with the variable on the left.
b ≥ - 2.3  <<<< answer  
6 0
3 years ago
Read 2 more answers
The volume of a cylindrical soup can is represented by the expression πr3 + 7πr2, where r is the radius of the cylinder. Which s
Ganezh [65]

Answer:

Step-by-step explanation:

Given the volume of the cylindrical soup expressed as V = πr³+ 7πr²

From V = πr³ + 7πr²;

factor out the common variable

V = πr³ + 7πr²

V = πr²(r+7) ... 1

The original volume of a cylinder V =  πr²h .... 2 where;

r is the radius of the cylinder

h is the height of the cylinder

Equating equation 1 and 2, we will have;

πr²(r+7)  =  πr²h

Divide both sides by  πr²

πr²(r+7)/ πr² = πr²h/ πr²

r+7 = h

h = r+7

<em>Hence the factor in the context given is equivalent to the height of the cylinder written as a function of its radius r</em>.<em> The statement means that the height of the cylindrical soup is 7 more than its radius.</em>

<em></em>

5 0
3 years ago
The length of a rectangle is 3 less than twice the width. Write a function rule for the perimeter in terms of w, the width
Nitella [24]

l = 2w-3

P = 2(l+w)

substitute in for l

P = 2(2w-3 +w)

combine like terms

P = 2(3w-3)

P = 6w-6

P(w) = 6(w-1)


3 0
2 years ago
Read 2 more answers
Please can someone explain how to work out this
wariber [46]

Answer:

T = 4B + 10C

Step-by-step explanation:

Since there are 4 doughnuts in a bag then there are 4B doughnuts in B bags

Since there are 10 doughnuts in a carton then there are 10C doughnuts in C cartons, thus summing the two quantities gives

T = 4B + 10C

6 0
3 years ago
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