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3 years ago

Can someone please do number 12 and 14 for me ?

Mathematics

1 answer:

KengaRu [80]3 years ago

3 0

12. Yes, because the diagonals of a parallelogram bisect each other.
14. Yes, a parallelogram has opposite sides that are equal.

Hope this helps =)

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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

2 years ago

The 7 in 72 represents how many times the value of the 7 in 78 is what ?

earnstyle [38]

Answer:

One time

Step-by-step explanation:

In both the numbers 72 and 78, the place value of 7 is 70.

Hence, 7 in 72 represents one time the value of the 7 in 78.

7 0

2 years ago

What is 2x+5=y and 5x+4=y pls hurry

Sergeu [11.5K]

Answer:

( 1/3, 5 2/3) Or (0.33, 5.66)

Step-by-step explanation:

If you graph the 2 equations and see where they intersect, they will land on the answer.

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2 years ago

Find the x-intercept of the following equation. Simplify your answer.

lawyer [7]

Answer:

y intercept=3/2

Step-by-step explanation:

First of all, write it in slope intercept form

y=-1/6x+3/2

y=mx+b

b=y-intercept

y intercept=3/2

7 0

2 years ago

Read 2 more answers

11w+5w-1=65w-36<br> Ayuden poniendo tambien el procedimiento plis

nevsk [136]

Answer:

w=1.4

Step-by-step explanation:

11w+5w-1=65w-36

16w-1=65w-36

16w-65w= -36+1

-49w= -35

w= -35/-49

w= 1.4

4 0

2 years ago