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3 years ago

Find the center of the circle with the equation x2 + y2 – 6x – 4y+12 = 0.With solution.

1 answer:

5 0

#x^2 - 6x +y^2 - 4y = 12

Then take 1/2 of the 'b' term for both quadratic expressions, square those values and add them to both sides.
#x^2 -6x + 9 + y^2 - 4y + 4 = 12 + 9 + 4
(x - 3)^2 + (y -2)^2 = 25

Circle centered at (3,2) with radius = 5

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How would I do the steps to solve this?

allsm [11]

Answer:

The maximum revenue is 16000 dollars (at p = 40)

Step-by-step explanation:

One way to find the maximum value is derivatives. The first derivative is used to find where the slope of function will be zero.

Given function is:

$R(p) = -10p^2+800p$

Taking derivative wrt p

$\frac{d}{dp} (R(p) = \frac{d}{dp} (-10p^2+800p)\\R'(p) = -10 \frac{d}{dp} (p^2) +800 \ frac{d}{dp}(p)\\R'(p) = -10 (2p) +800(1)\\R'(p) = -20p+800\\$

Now putting R'(p) = 0

$-20p+800 = 0\\-20p = -800\\\frac{-20p}{-20} = \frac{-800}{-20}\\p = 40$

As p is is positive and the second derivative is -20, the function will have maximum value at p = 40

Putting p=40 in function

$R(40) = -10(40)^2 +800(40)\\= -10(1600) + 32000\\=-16000+32000\\=16000$

The maximum revenue is 16000 dollars (at p = 40)

3 0

2 years ago

Patrycja goes shopping in a supermarket.

inysia [295]

Answer:£0.37

Step-by-step explanation:

£4.44/12=£0.37

3 0

2 years ago

4 books for 1$12.00 3 books for $9.00 What is the price per book? What is the constant of proportionality

Valentin [98]

Answer:

the price per book is $3 the constant of proportionality is 3

Step-by-step explanation:

12 divided by 4 is 3 and 9 divided by 3 is 3 so it means that the price for 1 book is going to be 3 and for every book you buy the original value will be 3.

6 0

3 years ago

-6.25x + 262.5 = 250

ZanzabumX [31]

Answer:

X=2

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What is the volume of the box

aalyn [17]

Answer:

Volume = 144 in.³

Step-by-step explanation:

Given:

Length = 9 in.

Width = 4 in.

Height = 4 in.

Required:

Volume

Solution:

Volume of a box = length * height * width

Volume = 9*4*4

= 144 in.³

5 0

2 years ago

Find the center of the circle with the equation x2 + y2 – 6x – 4y+12 = 0.With solution.​

Find the center of the circle with the equation x2 + y2 – 6x – 4y+12 = 0.With solution.