Answer:
54 miles
Step-by-step explanation:
if you divide both the miles and hours, you would get 4.5 equals 1 hour, so multiply by 12 and you get 54!!
We're minimizing

subject to

. Using Lagrange multipliers, we have the Lagrangian

with partial derivatives

Set each partial derivative equal to 0:

Subtracting the second equation from the first, we find

Similarly, we can determine that

and

by taking any two of the first three equations. So if

determines a critical point, then

So the smallest value for the sum of squares is

when

.
x = 9
Step-by-step explanation:
5x - 15 + 2x = 4x + 12
7x - 4x = 12 + 15
3x = 27
x = 9
Answer:
1/36
Step-by-step explanation:
There are 6 numbers on a die. You have a 1/6 chance of rolling a 3 and a 1/6 chance of rolling a 4. 1/6 times 1/6 = 1/36.
Answer:
The length side of the triangle is 
Step-by-step explanation:
we know that
The equilateral triangle has three equal sides and three equal internal angles of measure of 60 degrees each.
Let
b------> the length side of the equilateral triangle
Applying Pythagoras theorem
