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Rufina [12.5K]
4 years ago
8

To solve the equation x + 7 = 13,

Mathematics
1 answer:
barxatty [35]4 years ago
4 0

Answer:

C

Step-by-step explanation:

x + 7 = 13

x - 7 = - 7

x = 6

This is because you want to get the x by itself on one side to solve the equation.

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Write an expression to represent the product of 6 and the square of a number plus 15.
Elenna [48]

Answer:

Step-by-step explanation:

6(x²+15)

3 0
3 years ago
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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
4 years ago
What is the algebraic rule for a figure that is rotated 270° counterclockwise about the origin?
Serggg [28]

Answer:

(x,y) -> (-x,-y)

Step-by-step explanation:

the coordinates are switched from the (x,y) you have to (-x,-y)

4 0
3 years ago
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Greeley [361]
X=-5 hope that helps
7 0
3 years ago
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Is this the correct answer?
alexgriva [62]

Answer:

Step-by-step explanation:

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