Answer:
![j - 10 = 35](https://tex.z-dn.net/?f=j%20-%2010%20%3D%2035)
Step-by-step explanation:
Given: 10 less than
is 35.
To find: The equation of the given situation.
Solution: We need to write an equation for 10 less than
is 35.
Here, we will break down the sentence to form the equation.
10 less than
means
.
Then, it says 10 less than
is 35 which means it is equal to 35.
So, the sentence 10 less than
is 35 can be written as 10 less than
is equal to 35.
Now, 10 less than
is equal to 35 can be shown as
.
Therefore, the required equation is
.
CD = XY = 26 mm
hope that helps
9514 1404 393
Answer:
distributive property
Step-by-step explanation:
The <em>distributive property</em> of multiplication over addition lets you expand the product in the manner shown.
You can graph the answer on cymath.com
Let <em>y</em> be the expression you want to differentiate:
![y=\log_7(5-3x) \implies 7^y=5-3x](https://tex.z-dn.net/?f=y%3D%5Clog_7%285-3x%29%20%5Cimplies%207%5Ey%3D5-3x)
Now,
![7^y=e^{\ln(7^y)}=e^{y\ln(7)}](https://tex.z-dn.net/?f=7%5Ey%3De%5E%7B%5Cln%287%5Ey%29%7D%3De%5E%7By%5Cln%287%29%7D)
Use the chain rule to differentiate both sides with respect to <em>x</em> :
![\ln(7)e^{y\ln(7)}\dfrac{\mathrm dy}{\mathrm dx}=-3](https://tex.z-dn.net/?f=%5Cln%287%29e%5E%7By%5Cln%287%29%7D%5Cdfrac%7B%5Cmathrm%20dy%7D%7B%5Cmathrm%20dx%7D%3D-3)
Solve for d<em>y</em>/d<em>x</em> :
![\ln(7)7^y\dfrac{\mathrm dy}{\mathrm dx}=-3](https://tex.z-dn.net/?f=%5Cln%287%297%5Ey%5Cdfrac%7B%5Cmathrm%20dy%7D%7B%5Cmathrm%20dx%7D%3D-3)
![\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac3{\ln(7)7^y}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20dy%7D%7B%5Cmathrm%20dx%7D%3D-%5Cdfrac3%7B%5Cln%287%297%5Ey%7D)
![\dfrac{\mathrm dy}{\mathrm dx}=\boxed{-\dfrac3{\ln(7)(5-3x)}}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20dy%7D%7B%5Cmathrm%20dx%7D%3D%5Cboxed%7B-%5Cdfrac3%7B%5Cln%287%29%285-3x%29%7D%7D)