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3 years ago

A regular pyramid has a _____ base and a vertex over the center of the base.

Mathematics

2 answers:

saw5 [17]3 years ago

8 0

A regular pyramid has a regular polygon base and vertex over the center of the base.

alexandr1967 [171]3 years ago

3 0

Regular Polygon~~~~ APEX

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4. Jesse has 6 containers of ice cream. If he wants to share his ice cream

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How many friends are there

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3 years ago

In this problem we consider an equation in differential form Mdx+Ndy=0. (4x+2y)dx+(2x+8y)dy=0 Find My= 2 Nx= 2 If the problem is

zheka24 [161]

Answer:

$f(x,y)=2x^2+4y^2+2xy=C_1\\\\Where\\\\y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )$

Step-by-step explanation:

Let:

$M(x,y)=4x+2y\\\\and\\\\N(x,y)=2x+8y$

This is and exact equation, because:

$\frac{\partial M(x,y)}{\partial y} =2=\frac{\partial N}{\partial x}$

So, define f(x,y) such that:

$\frac{\partial f(x,y)}{\partial x} =M(x,y)\\\\and\\\\\frac{\partial f(x,y)}{\partial y} =N(x,y)$

The solution will be given by:

$f(x,y)=C_1$

Where C1 is an arbitrary constant

Integrate $\frac{\partial f(x,y)}{\partial x}$ with respect to x in order to find f(x,y):

$f(x,y)=\int\ {4x+2y} \, dx =2x^2+2xy+g(y)$

Where g(y) is an arbitrary function of y.

Differentiate f(x,y) with respect to y in order to find g(y):

$\frac{\partial f(x,y)}{\partial y} =2x+\frac{d g(y)}{dy}$

Substitute into $\frac{\partial f(x,y)}{\partial y} =N(x,y)$

$2x+\frac{dg(y)}{dy} =2x+8y\\\\Solve\hspace{3}for\hspace{3}\frac{dg(y)}{dy}\\\\\frac{dg(y)}{dy}=8y$

Integrate $\frac{dg(y)}{dy}$ with respect to y:

$g(y)=\int\ {8y} \, dy =4y^2$

Substitute g(y) into f(x,y):

$f(x,y)=2x^2+4y^2+2xy$

The solution is f(x,y)=C1

$f(x,y)=2x^2+4y^2+2xy=C_1$

Solving y using quadratic formula:

$y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )$

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3 years ago

Julia has 2 identical rooms in her house. if each room measures 8 feet on one side and 12 feet on another, what is the total are

Jlenok [28]

First we have the work out the area of 1 room. So that is 8ft * 12ft which is 96ft^2. And if there are 2 of these rooms, then we multiply this value by 2. Giving us a total area of 192ft^2.

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3 years ago

The distance on the number line from -10 to -2 equals 5x – 12. What is the value of x?

Troyanec [42]

It would be: - 2 - (-10) = 5x - 12

= -2 + 10 = 5x - 12

= 8 + 12 = 5x

= x = 20 / 5

= x = 4

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3 years ago

Alonzo and miguel scored a total of 40 points in the basketball game.miguel scored four more points than twice alonzo's score .H

elena-14-01-66 [18.8K]

I can tell you that you have to multiply Alonzo score by 16
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3 years ago