Answer:
Step-by-step explanation:
Given that rectangle has side length 23x13 feet.
When squares of side x are cut from all the four sides we have dimensions as
23-2x and 13-2x and height x
Volume 
Use derivative test
First derivative V'(x) 
Equate I derivative to 0
We get approximate value of x = 2.671, 9.329
Since width is 13 feet it cannot be 9.329
Hence x = 2.671
V"(x) = -80 <0
So maximum volume is
The first thing to do is find the slope of the given line m = (y2-y1)/(x2-x1). We need to find the slope because it is required to find the slope of the perpendicular line.
m = (-7-5)/(5+11) = -12/16 = -3/4
Now we find the midpoint of the line, this is where the perpendicular bisector be. Using the Midpoint equation
M=((x1+x2)/2,(y1+y2)/2)
M=((-11+5)/2, (5-7)/2)
M=(-6/2, -2/2)
M=(-3,-1)
Now that we have the slope and midpoint we can find the perpendicular bisector. A line is perpendicular to another if, when you multiply their slopes together they equal -1. To do this we simply invert the numerator and denominator of our current slope and flip the sign from negative to positive.
So, -3/4 becomes positive 4/3 for our new line. So for our perpendicular line we now know two things, the slope and a point on it (the bisector point). To find the equation of the line we need to plug the known point and slope into the equation y = mx + b and solve for b.
-1 = 4/3(-3) + b
-1 = -4 + b
b = -1 + 4
b = 3
Now we can build our equation for our perpendicular line
y = 4/3x + 3
Answer:
-2/3
Step-by-step explanation:
Find a common denominator.
Multiply -1/2 by 3/3.
Combine the fractions
Reduced to lowest terms. (-4 and 6 are divisible by 2)
<span>Sqrt(5x) * Sqrt(x) + 3
= 5^(1/2) * x^(1/2) * x^(1/2) + 3
= 5^(1/2) *x +3
=5^(1/2)*x^(2/2) +3
=Sqrt(5*x^2) +2
So the answer is A </span>
