What is the solution to the equation x + 11 = 57? (Input a whole number only.) Numerical Answers Expected! Answer for Blank 1:

The angles and sides in each triangle and classify it in 2 ways

nikdorinn [45]

You have to measure the angles and side on your own because you have to use a protractor/ruler.
But for classification:
1. acute triangle and 3 acute angles
2. right triangle and 1 right angle
3. isosceles triangle and 2 equal sides
4. equilateral triangle and 3 equal sides

3 0

3 years ago

Find general solutions of the differential equation. Primes denote derivatives with respect toÂ x.

zepelin [54]

Answer:

$\mathbf{3x^2y^3+2xy^4=C}$

Step-by-step explanation:

From the differential equation given:

$6xy^3 +2y ^4 +(9x^2y^2+8xy^3) y' = 0$

The equation above can be re-written as:

$6xy^3 +2y^4 +(9x^2y^2+8xy^3)\dfrac{dy}{dx}=0$

$(6xy^3 +2y^4)dx +(9x^2y^2+8xy^3)dy=0$

Let assume that if function M(x,y) and N(x,y) are continuous and have continuous first-order partial derivatives.

Then;

M(x,y) dx + N (x,y)dy = 0; this is exact in R if and only if:

$\dfrac{{\partial M }}{{\partial y }}= \dfrac{\partial N}{\partial x}}} \ \ \text{at each point of R}$

relating with equation M(x,y)dx + N(x,y) dy = 0

Then;

$M(x,y) = 6xy^3 +2y^4\ and \ N(x,y) = 9x^2 y^2 +8xy^3$

So;

$\dfrac{\partial M}{\partial y }= 18xy^3 +8y^3$

$\dfrac{\partial N}{\partial y }$

Let's Integrate $\dfrac{\partial F}{\partial x}= M(x,y)$ with respect to x

Then;

$F(x,y) = \int (6xy^3 +2y^4) \ dx$

$F(x,y) = 3x^2 y^3 +2xy^4 +g(y)$

Now, we will have to differentiate the above equation with respect to y and set $\dfrac{\partial F}{\partial x}= N(x,y)$ ; we have:

$\dfrac{\partial F}{\partial y} = \dfrac{\partial}{\partial y } (3x^2y^3+2xy^4+g(y)) \\ \\ = 9x^2y^2 +8xy^3 +g'(y) \\ \\ 9x^2y^2 +8xy^3 +g'(y) =9x^2y^2 +8xy^3 \\ \\ g'(y) = 0 \\ \\ g(y) = C_1$

Hence, $F(x,y) = 3x^2y^3 +2xy^4 +g(y) \\ \\ F(x,y) = 3x^2y^3 + 2xy^4 +C_1$

Finally; the general solution to the equation is:

$\mathbf{3x^2y^3+2xy^4=C}$

5 0

3 years ago

i need help with number 7. its solving systems of equations by substitution. please show work!!! i need help

SIZIF [17.4K]

#7:
Subtract y from both sides:
-4x=6-y

Divide both sides by -4:

Answer:
x= -6-y/4

#7 part 2:

Add y to both sides:
-5x=21+y

Divide both sides by -5:

Answer: x=-21+y/5

hope i helped!

7 0

3 years ago

Simplify expression 2/3[3f+12]+f

neonofarm [45]

Answer:

= 3f + 8

Step-by-step explanation:

Given that:

= 2/3[3f+12]+f

By simplifying:

2/3 will be multiplied inside the bracket as follows:

= 2/3*3f + 2/3*12 + f

By cancelling the terms with each other we get:

= 2f + 24/3 + f

By simplifying the fraction we get:

= 2f + 8 + f

Adding like terms

= 3f + 8

This is the simplified expression.

i hope it will help you!

4 0

3 years ago

Please please help me please help help me and show your steps please

Serga [27]

Answer:

please help help help help help

Step-by-step explanation:

lol

7 0

3 years ago