All categories

1 year ago

Pleaseee help me out !!!

Mathematics

2 answers:

Dahasolnce [82]1 year ago

8 0

Answer:

y = 16

Step-by-step explanation:

y = 11 - x

of x is -5, subtitute it into the equation

y = 11 - (-5)

y = 11 + 5

y = 16

strojnjashka [21]1 year ago

5 0

Answer:

Step-by-step explanation:

y=11--5

y=11+5

y+16

You might be interested in

Determine the unknown side of the similar triangle.<br> A) 8 <br> B) 12 <br> C) 18 <br> D) 24

blsea [12.9K]

Answer:

B-12

Step-by-step explanation:

Since 24÷12=2 you have to do 6×2 to find the ? and 6×2=12

8 0

3 years ago

Find a particular solution to the nonhomogeneous differential equation y??+4y?+5y=?10x+e^(?x).

Firdavs [7]

Answer:

A) Particular solution:

$2x+\frac{1}{2}e^{-x}-\frac{8}{5}$

B) Homogeneous solution:

$y_{h}=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))$

C) The most general solution is

$y=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))+2x+\frac{1}{2}e^{-x}-\frac{8}{5}$

Step-by-step explanation:

Given non homogeneous ODE is

$y''+4y'+5y=10x+e^{-x}---(1)$

To find homogeneous solution:

$D^{2}+4D+5=0\\D^{2}+4D+4-4+5=0\\\\(D+2)^{2}=-1\\D+2=\pm iD=-2 \pm i\\y_{h}=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))---(2)$

To find particular solution:

$y_{p}=Ax+B+Ce^{-x}\\\\y'_{p}=A-Ce^{-x}\\y''_{p}=Ce^{-x}\\$

Substituting $y_{p},y'_{p},y''_{p}$ in (1)

$y''_{p}+4y'_{p}+5y_{p}=10x+e^{-x}\\Ce^{-x}+4(A-Ce^{-x})+5(Ax+B+Ce^{-x})=10x+e^{-x}\\$

Equating the coefficients

$5Ax+2Ce^{-x}+4A+5B=10x+e^{-x}\\5A=10\\A=2\\4A+5B=0\\B=-\frac{4A}{5}B=-\frac{8}{5}2C=1\\C=\frac{1}{2}\\So,\\y_{p}=2x+\frac{1}{2}e^{-x}-\frac{8}{5}---(3)\\$

The general solution is

$y=y_{h}+y_{p}$

from (2) ad (3)

$y=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))+2x+\frac{1}{2}e^{-x}-\frac{8}{5}$

6 0

2 years ago

Mr. Anders was three times as old as Kate 5 years ago. Their total age now is 42 years. How old is Kate now?

katrin [286]

We can write this as two equations. Call Mr. Anders' age A and Kate's age K:
$A-5=3(K-5)$
$A+K=42$

Then solve for A in the second equation:
$A=42-K$

Substitute this into the first equation:
$(42-K)-5=3(K-5)$
$-K+37=3K-15$
$52=4K$
$K=13$

6 0

3 years ago

which expression correctly shows the commutative proberty? a)8+14+22+9=(8+14)+(22+9). b)8+14+22+9=8+(14+22)+9. c)8+14+22+9=53. d

Lerok [7]

D has the commutative property because it just flip flopped the numbers.

5 0

3 years ago

How much would you need to deposit in an account now in order to have $5000 in the account in 10 years? Assume the account earns

Blababa [14]

Answer:

$12500

Step-by-step explanation:

use si formula

SI=ptr/100

si=5000

t=10

r=4

6 0

3 years ago