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3 years ago

How do you make −6x+5y=9 into the slope-intercept form?

2 answers:

7 0

Move the variable to the right
5y=9+6x
Then divide both sides
y= 9/5 + 6/5x
Then reorder them and you end up with
y= 6/5x + 9/5

SVEN [57.7K]3 years ago

6 0

Answer:

y=6/5y-9/5

Step-by-step explanation:

5y=6x-9

y=6/5y-9/5

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Find the inverse Laplace transform f(t) of the function F(s). Write uc for the Heaviside function that turns on at c, not uc(t).

zzz [600]

Answer:

F(t) $=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}$

Step-by-step explanation:

We have given $F(S)=\frac{7e^{-7s}}{s^2-49}$

Now $F(S)=e^{-7s}G(s)$

Here $G(S)=\frac{7}{S^2-49}$

Now first find the Laplace inverse of G(S)

Using partial fraction

$\frac{7}{(s+7)(s-7)}=\frac{A}{(S+7)}+\frac{B}{S-7}$

$7=A(S-7)+B(S+7)$

On comparing the coefficient

$A=\frac{1}{2}$ and $B=\frac{-1}{2}$

On putting the value of A and B

$G(S)=\frac{-1}{2(S+7)}+\frac{1}{2(S+7)}$

Taking inverse Laplace

$G(t)=\frac{-1}{2}e^{7t}+\frac{1}{2}e^{-7t}$

Now in G(s) there is onether term $e^{-7s}$

So F(t) $=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}$

6 0

3 years ago

Brandon buys a radio for $44.57 in a state where the sales tax is 7%.

grigory [225]

Answer:

$3.12

Step-by-step explanation:

44.57 x 0.07 = 3.12

8 0

3 years ago

Une particule se déplace le long de la courbe y = 2x 2 – x + 3 et son abscisse est donnée par x = t 3 – 2t. Trouver la vitesse d

Mars2501 [29]

2*2=4 first you multiply
4-1=3 then subtract
3+3=6 now you add and that is your answer =6

7 0

3 years ago

HELP, Prove: (cos(x))/(sin(x)tan(x))=cot^2x

Mice21 [21]

Answer:

Steps shown below

Step-by-step explanation:

We will simplify this using definitions and identities. Let's start.

$\frac{cos(x)}{sin(x)tan(x)}$

Using $tanx=\frac{sinx}{cosx}$ , we have:

$\frac{cos(x)}{sin(x)\frac{sin(x)}{cos(x)}}\\=\frac{cos^2(x)}{sin^2(x)}$

Using $cot(x)=\frac{cos(x)}{sin(x)}$ , we have:

$\frac{cos^2(x)}{sin^2(x)}\\=cot^2(x)$

Hence, proved.

7 0

3 years ago

Read 2 more answers

Find the mean of the snowfall amounts?

ser-zykov [4K]

Mean is the same as average. Adding up all the amounts then dividing it by the number of amounts. In this case, we add up all the snowfall amounts and then we divide it by 10 ( the count or number of snowfall amounts).
In equation,
(13+19+16+23+11+18+14+26+13+16) / 10 = 16.9

Th answer is A. 16.9 inches.

5 0

4 years ago