Answer:
a
Step-by-step explanation:
Answer:
x=25 over 3
Step-by-step explanation:
3÷4a-6=1÷4 convert to
3
_x-6= 0.25
4
3x-24=1
3x=24+1
3x=25
divide both sides by 3 and you'll get:
25
----
3

Look for an integrating factor
:

Multiply both sides by
:

Condense the left side as the derivative of a product:
![\dfrac{\mathrm d}{\mathrm dt}\left[(t+1)^{-7/9}y\right]=\dfrac{14}9t(t+1)^{-16/9}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dt%7D%5Cleft%5B%28t%2B1%29%5E%7B-7%2F9%7Dy%5Cright%5D%3D%5Cdfrac%7B14%7D9t%28t%2B1%29%5E%7B-16%2F9%7D)
Integrate both sides:

For the integral on the right, substitute






Given that
, we get


Answer:
4x^-4/9y^6
Step-by-step explanation:
If the exponent is outside the bracket, it means that all the terms inside will be raised to that exponent. This means that:
(2x^-2 / 3y^3)^2 = 2^2*(x^-2)^2 / 3^2*(y^3)^2
When exponents are raised to an exponent, the exponents are multiplied together, so (x^-2)^2 will = x^(-2*2) = x^-4
Going through:
2^2*(x^-2)^2 / 3^2*(y^3)^2
=4*x^-4 / 9*y^6
=4x^-4/9y^6
Hope this helped!
Answer: The distance is d = 13 .
Step-by-step explanation:
In order to find the distance between the two points, you need the distance formula:
where there is
and
.
-Use the those two points
and
for this formula:

-Then, you start solving:





So, therefore, the result is
.