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2 years ago

What is the answer, please help!

Mathematics

1 answer:

algol [13]2 years ago

5 0

I don’t see the answers on the screen

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One number is 3 more than another. The product of the number is 54 . Find the numbers.

Mice21 [21]

Answer:

6 and 9

Step-by-step explanation:

set up an equation and solve for x

(x+3) * x = 54

easiest way to to try some numbers.

if you know your multiplication tables...

what two number multiplied together are 54

be sure the numbers you are thinking of meet the rules

is one 3 more than the other

do they multiply together to get 54

6 0

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:

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

4 0

3 years ago

Question 6 of 10<br>2 Points<br>Which number is rational?<br>ОА. О.31243576.<br>оооо

MatroZZZ [7]

Answer:

Yes О.31243576 is a rational number

4 0

2 years ago

What are the zeros of f(x)=x^2-10+25

BartSMP [9]

Answer:
-5

Explanation:
Because it’s right

7 0

3 years ago

HELP!!! First gets Top Answer!!!

Marta_Voda [28]

It is approximately -.4048

H=10^(-pH)

log H = -pH

pH=-logH => so it is affirmed that it is -.40

4 0

3 years ago