Answer:
c=-5
d=1
Step-by-step explanation:
I'm going to reorder the left-hand side. Multiplication is commutative.
Since the bases are the same in 
and the operation is multiplication, I'm going to add the exponents giving me:
So this implies we have two equations to solve:
and 
So the first equation can be solved by dividing both sides by 4 giving you 
.
The second equation can be solved by subtracting 2 on both sides giving you 
.
You didn’t include any picture or write a question what are we suppose to answer ?:,)
24x___ = 2.4
24/2.4 = 0.1
24x0.1 = 8x3/10
2.4 = 2.4
The volume of the pool is 1,620 ft cubed
Let the lengths of the sides of the rectangle be x and y. Then A(Area) = xy and 2(x+y)=300. You can use substitution to make one equation that gives A in terms of either x or y instead of both.
2(x+y) = 300
x+y = 150
y = 150-x
A=x(150-x) <--(substitution)
The resulting equation is a quadratic equation that is concave down, so it has an absolute maximum. The x value of this maximum is going to be halfway between the zeroes of the function. The zeroes of the function can be found by setting A equal to 0:
0=x(150-x)
x=0, 150
So halfway between the zeroes is 75. Plug this into the quadratic equation to find the maximum area.
A=75(150-75)
A=75*75
A=5625
So the maximum area that can be enclosed is 5625 square feet.
