Start with the lowest prime number: 2
is 84 divisible by 2? Yes
so. 84/2 = 42
Check if it still divisible by 2,
yes, 42/2 = 21
check if it is still divisible by 2,
no, move to next prime number = 3.
check if it is divisible by 3
yes, 21/3 = 7.
now since, 7 is a prime number, we stop.
and the prime factors of 84 are : 2,2, 3, 7
4 prime factors, 3 distinct.
Answer:
A(max) = (9/2)*L² ft²
Dimensions:
x = 3*L feet
y = (3/2)*L ft
Step-by-step explanation:
Let call "x" and " y " sides of the rectangle. The side x is parallel to the wall of the house then
Area of the rectangle is
A(r) = x*y
And total length of fence available is 6*L f , and we will use the wall as one x side then, perimeter of the rectangle which is 2x + 2y becomes x + 2*y
Then
6*L = x + 2* y ⇒ y = ( 6*L - x ) /2
And the area as function of x is
A(x) = x* ( 6*L - x )/2
A(x) = ( 6*L*x - x² ) /2
Taking derivatives on both sides of the equation we get:
A´(x) = 1/2 ( 6*L - 2*x )
A´(x) = 0 ⇒ 1/2( 6*L - 2*x ) = 0
6*L - 2*x = 0
-2*x = - 6*L
x = 3*L feet
And
y = ( 6*L - x ) /2 ⇒ y = ( 6*L - 3*L )/ 2
y = ( 3/2)*L feet
And area maximum is:
A(max) = 3*L * 3/2*L
A(max) = (9/2)*L² f²
Hello there!
Do solve for this, we actually just have to do one thing since our number is the same - subtract the exponents.
When you divide by exponents, you are subtracting them.
For example;
Subtract the exponents.
is your answer for this example.
Let's apply this to our current expression.
Subtract the exponents.
is your simplified expression with exponents.
I hope this helps!
Answer:
<h2>3Q + 2p</h2>
Step-by-step explanation:
Step-by-step explanation:
Area of rectangle
l × b
12 × 6
= 72
area of actual figure
72-2×2
=68ft.