Answer:
x = 12 , y = 10
Step-by-step explanation:
Let x , y are two numbers.
x > y
1 ) Three times the greater is 18 times their
difference
3x = 18( x - y )
x = 6( x - y )
x = 6x - 6y
6y = 5x
y = 5x/6 ——-( 1 )
2 ) 4 times the smaller is 4 less than twice
the sum of the two
4y + 4 = 2 ( x + y )
2y + 2 = x + y
y = x -2 ——( 2 )
From ( 1 ) and ( 2 ) ,
5x/6 = x -2
( 5x /6 ) - x = -2
( 5x - 6x ) /6 = -2
-x = -12
x = 12
Put x = 12 in equation ( 2 ) , we get
y = 12 - 2
y = 10
Therefore ,
x = 12 , y = 10
If you're just starting calculus, perhaps you're asking about using the definition of the derivative to differentiate 
.
We have
Expand the numerator using the binomial theorem, then simplify and compute the limit.
In general, the derivative of a power function 
is 
. (This is the aptly-named "power rule" for differentiation.)
I hope this helps you
x>4
x>-4
x>4
Answer:
x = 27
y = 29
Step-by-step explanation:
Answer:
The length of the arc is 4.6375 miles
Step-by-step explanation:
Firstly, find the perimeter of the circle by doing 2*pi*r, you'll get about 18.55 miles.
2*pi*r ---> 2*pi*3 ---> 6*pi ---> ≈ 18.55 miles
Next, plug in x/360, where 360 is the total arc of a circle, and x is the arc you need.
x/360 ---> 90/360 ---> = 0.25
Lastly multiply the two numbers.
18.55 * 0.25 ---> 4.6375 miles is your answer.
<em>(you may need to round your answer if needed)</em>
