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3 years ago

What is the equation of the line that is parallel to y=1/2x+2

Mathematics

1 answer:

abruzzese [7]3 years ago

7 0

When y =0 or when z =0

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Solve x^2-6x+25 = 0 by completing the square.

Oksana_A [137]

First, subtract both sides by 25:

x^2 - 6x = -25

Because we're completing the square, we subtract both sides by 9:

x^2 - 6x - 9 = -34

(x - 3) = 5.831 (about)

x = 8.831

3 0

3 years ago

Beth has $108.50 in her bank account. She buys x shirts for $5.50 each. Write and solve an equation Beth can use to find how man

suter [353]

$x-\ number\ of\ shirts\\\\
x*5.50=108.50\ \ \ | divide\ by\ 5.50\\\\
x\approx19\\\\
She\ can\ buy\ 19\ shirts.$

3 0

3 years ago

Read 2 more answers

A circle have a diameter of 18 meters. What is its

Sergio [31]

Answer:

A. 56.54867 rounded to 56.56

Step-by-step explanation:

18/2=9

r=9

C=2πr=2·π·

C=2(3.14)(9)

9≈56.54867

3 0

3 years ago

If the diameter of a circle is 22.2, then the radius would be _____?

kumpel [21]

Answer:

11.1

Step-by-step explanation:

G o o g l e

4 0

3 years ago

Read 2 more answers

1) Use power series to find the series solution to the differential equation y'+2y = 0 PLEASE SHOW ALL YOUR WORK, OR RISK LOSING

iogann1982 [59]

$y=\displaystyle\sum_{n=0}^\infty a_nx^n$

then

$y'=\displaystyle\sum_{n=1}^\infty na_nx^{n-1}=\sum_{n=0}^\infty(n+1)a_{n+1}x^n$

The ODE in terms of these series is

$\displaystyle\sum_{n=0}^\infty(n+1)a_{n+1}x^n+2\sum_{n=0}^\infty a_nx^n=0$

$\displaystyle\sum_{n=0}^\infty\bigg(a_{n+1}+2a_n\bigg)x^n=0$

$\implies\begin{cases}a_0=y(0)\\(n+1)a_{n+1}=-2a_n&\text{for }n\ge0\end{cases}$

We can solve the recurrence exactly by substitution:

$a_{n+1}=-\dfrac2{n+1}a_n=\dfrac{2^2}{(n+1)n}a_{n-1}=-\dfrac{2^3}{(n+1)n(n-1)}a_{n-2}=\cdots=\dfrac{(-2)^{n+1}}{(n+1)!}a_0$

$\implies a_n=\dfrac{(-2)^n}{n!}a_0$

So the ODE has solution

$y(x)=\displaystyle a_0\sum_{n=0}^\infty\frac{(-2x)^n}{n!}$

which you may recognize as the power series of the exponential function. Then

$\boxed{y(x)=a_0e^{-2x}}$

7 0

3 years ago