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3 years ago

!!!!!!!!!!! Help (Measuring Angles)

Mathematics

1 answer:

lana [24]3 years ago

3 0

Answer:

Angle DGF = DEF

Step-by-step explanation:

Since all the angles are congruent in the diagram and the hypothenuses are both congruent, it makes the other triangle, DEF congruent to DGF.

In other words, sense all 3 angles are congruent and they share a side, DEF is congruent to DGF.

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Find a linear second-order differential equation f(x, y, y', y'') = 0 for which y = c1x + c2x3 is a two-parameter family of solu

Alisiya [41]

Let $y=C_1x+C_2x^3=C_1y_1+C_2y_2$ . Then $y_1$ and $y_2$ are two fundamental, linearly independent solution that satisfy

$f(x,y_1,{y_1}',{y_1}'')=0$
$f(x,y_2,{y_2}',{y_2}'')=0$

Note that ${y_1}'=1$ , so that $x{y_1}'-y_1=0$ . Adding $y''$ doesn't change this, since ${y_1}''=0$ .

So if we suppose

$f(x,y,y',y'')=y''+xy'-y=0$

then substituting $y=y_2$ would give

$6x+x(3x^2)-x^3=6x+2x^3\neq0$

To make sure everything cancels out, multiply the second degree term by $-\dfrac{x^2}3$ , so that

$f(x,y,y',y'')=-\dfrac{x^2}3y''+xy'-y$

Then if $y=y_1+y_2$ , we get

$-\dfrac{x^2}3(0+6x)+x(1+3x^2)-(x+x^3)=-2x^3+x+3x^3-x-x^3=0$

as desired. So one possible ODE would be

$-\dfrac{x^2}3y''+xy'-y=0\iff x^2y''-3xy'+3y=0$

(See "Euler-Cauchy equation" for more info)

6 0

3 years ago

Use the position-to-term rule to work out the first four terms of each sequence.

aev [14]

A. 6, 7, 8, 9
B. 2, 5, 8, 11
C. 5, 8, 13, 20
D. 3, 12, 27, 48

3 0

3 years ago

Read 2 more answers

Solve the system with elimination. {2x-y=2, -5x+4y=-2

DaniilM [7]

Answer:

{x=2,y=2

Step-by-step explanation:

Equation 1:

Multiply both sides of the equation by a coefficient

{ 4(2x-y)=2*4

-5x+4y=-2

Apply Multiplicative Distribution Law

{8x-4y=2*4,-5x+4y=-2

8x-4y+(-5x+4y)=8+(-2)

Remove parentheses

8x-4y-5x+4y=8-2

Cancel one variable

8x-5x=8-2

Combine like terms

3x=8-2

Calculate the sum or difference

3x=6

Divide both sides of the equation by the coefficient of the variable

x=6/3

Calculate the product or quotient

x=2

Equation two:

{-5+4y=-2, x=2

-5*2+4y=-2

Calculate the product or quotient

-10+4y =-2

Reduce the greatest common factor (GCF) on both sides of the equation

-5+2y=-1

Rearrange unknown terms to the left side of the equation

2y=-1+5

Calculate the sum or difference

2y=4

Divide both sides of the equation by the coefficient of the variable

y=4/2

y=2

Hope this helps!!

6 0

2 years ago

Write the equation of the line.

omeli [17]

Answer:

y=x+5

Step-by-step explanation:

The slope of the line is (9-5)/(4-0)=1, and the y-intercept is 5, so the equation is y = x + 5.

4 0

2 years ago

I need help with the bottom part I’m confused on how he got that answer? Ty!

baherus [9]

Answer:

The reason Carlos chose A as the correct answer is because by the way 4,325,000,000 is set up in standard form he would have it set back to 4.325 x 10^-9 instead of 4.325 x 10^9

6 0

3 years ago