Answer:
B
Step-by-step explanation:
We are given that <em>x</em> and <em>y</em> are functions of time <em>t</em> such that <em>x</em> and <em>y</em> is a constant. So, we can write the following equation:
The rate of change of <em>x</em> and the rate of change of <em>y</em> with respect to time <em>t</em> is simply dx/dt and dy/dt, respectively. So, we will differentiate both sides with respect to <em>t: </em>
<em />![\displaystyle \frac{d}{dt}\Big[x(t)+y(t)\Big]=\frac{d}{dt}[k]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdt%7D%5CBig%5Bx%28t%29%2By%28t%29%5CBig%5D%3D%5Cfrac%7Bd%7D%7Bdt%7D%5Bk%5D)
<em />
Remember that the derivative of a constant is always 0. Therefore:
And by subtracting dy/dt from both sides, we acquire:
Hence, our answer is B.
Answer:
use Pythagoras theorem formula 
= 
+ 
Step-by-step explanation:
= 
+ 
= 576 + 324
= 900
C = 
C = 30
Does that make sense? :|
Marcus needs to bike at least 11 miles each day.
Step-by-step explanation:
Given,
Distance to cover = 80 miles at least
Distance already biked = 25 miles
Number of days left = 5
Let,
x be the distance to cover in 5 days.
According to given statement;
Number of days left * Distance to cover + distance already bike ≥ Total distance to travel
Dividing both sides by 5
Marcus needs to bike at least 11 miles each day.
Keywords: inequality, division
Learn more about division at:
#LearnwithBrainly
Answer:
Step-by-step explanation:
we know that
The perimeter of a rectangle is equal to
we know that
substitute
solve for W
Answer:
Step-by-step explanation:
To factorize, at first, do factorize all the terms then take the common terms out.
(a) 
This can be written as
Now, taking x commom from both the terms.
(b) 
Now, taking 
common from both the terms, we have
This is the required factorization.
(c) 
This is the required factorization.
(d) 
This is the required factorization.
