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Here's the graph, NSS

https://www.desmos.com/calculator/udd3cenf8a

An ellipse has two lines of symmetry

So.....the correct answer  is  the second one

Okay!

Here we go!

We do subtraction

9*10^(-5)-3*10^(-6)

This is 87/1000000

Huh, that’s what I got too, but the answer says 202, weird...

The center is -8,1

B is the answer

Let x  be th first number and y be the second

So  x + y  =  18   ⇒   y  =  18 - x

Call the function that we wish to maximize, M....so we have

M  =  xy^2

M = x (18 - x)^2

M =  x (x^2 - 36x + 324)

M = x^3 - 36x^2 + 324x

Take the derivative and set to 0

M'  = 3x^2 - 72x + 324  =  0     

x^2 - 24x + 108  =  0        factor

(x - 18) (x - 6)  =  0

Set each factor to  0  and solve for x  and we have that x  =  18  or x = 6

The second derivative will gives us a min and max for the function

Taking the second derivative. we have

6x - 72

Subbing 18  into this gives a positive....so.... this is a  minimum for the function

Subbing 6  into this gives a negative so this is a  max  for the function

So the max product  is  when x  = 6  and y  = 12  =    6 (18 -6)^2   =  6 * 12^2  =  864

You are very welcome :)

The choice are mixed up so I’m just gonna tell you the answer. 

Center is (0,0)

Intercepts are (6,0);(0,6);(0,-6);(-6,0)

Domain is [-6,6]

Range is also [-6,6]

A and B

Thanks, that is all I needed. I was looking for the sum of 2.2*10^6 and 4*10^0. The answer could be in scientific notation or written as a whole number.

C and D

I do not understand the question, but if you want me to add them, 

2200004 is the sum of the two numbers...

The intercepts are:

(0,75);(0,-75);(75,0);(-75,0)

The radius is 75 miles

The area of the region is 5625pi

The largest possible value for X  will be when the two integers are the same....this will occur when the first two integers are  > 9  but < 10

Rounding them up   produces  10 * 10  =  100

Rounding them down produces  9 * 9   =   81  =  X

Whats your guys favorite flavor of donut. Mine is chocolate. 🍩

Heres a little meme for all u meme adicts out there.

Let the height of the prism = H  

Since the cone touches all four sides of the prism, the base must be square

So.....Let S be the side of the prism

So.....the volume of the prism is  S^2 *H  (1)

The radius of the cone  =  (1/2)S  and its height is H

So....its  volume  is   (1/3)*pi *(1/2 S)^2 * H   = (1/12)*pi*S^2*H  (2)

So.....the  ratio of (2)  to (1)  is

(1/12)* pi * S^2 * H                    pi

________________  =            ___

    S^2  * H                                12

A right circular cone is inscribed in a right prism as shown. What is the ratio of the volume of the cone to the volume of the prism? Express your answer as a common fraction in terms of  pi.

Hey cpoc, maybe you guys could make a meme, joke, and riddle thread!

You can use desmos.com/calculator to graph the function. It helps a lot when you need to visualize.

Looking at the graph, when x = 2, y = 4.25, but when x = 7, y = 5.5.

Calculating the rate of change is like calculating the slope. 

(5.5-4.25)/(7-2)

This is equal to 0.25. 

The final answer is 1/4

Click on the link to read Melody’s and CHilll’s solutions. 

Very beautiful question with an elegant solution! :)

Hello! I believe this question is already answered here:

https://web2.0calc.com/questions/let-abc-be-any-triangle-equilateral-triangles-bcx