Answer:
Step-by-step explanation:
<u>Properties of Exponents</u>
The property called Power to a Power shows us how to simplify expressions of the type:
Similarily the property called Power of a product simplifies expressions like:
The company mentioned in the question uses the expression
millimeters per second to calculate the maximum capacity of a photocell with an area of x^3 square millimeters.
First, use the power of a product property:
Now use the power to a power property:
Operate:
Answer:
The dimensions of the screen are
Length:102 feet
Width: 82 feet
Step-by-step explanation:
we know that
The area of the rectangle (movie screen) is equal to
where
L is the length
W is the width
we have
so
----> equation A
The screen is 20 feet longer than it is wide.
so
---> equation B
substitute equation B in equation A
solve for W
solve the quadratic equation by graphing
the solution is W=82 ft
see the attached figure
Find the value of L
therefore
The dimensions of the screen are
Length:102 feet
Width: 82 feet
