Both rooms share a common side whose dimension is unknown. Call it x.
Then, the area of both squares have x as common factor.
So, x is the greatest common factor of 104 and 130.
You should know how to calculate the greatest common factor of two integers.
Just find the prime factors and choose the common factors raised to the lowest exponent.
104 = (2^3) (13)
130 = (2) (5)(13)
=> the greatest common factor is 2 * 13 = 26, and that is the greatest possible integer length of the shared wall.
Answer: 26
Answer:
The length of the rectangle is of 9 units.
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots 
such that 
, given by the following formulas:
Area of a rectangle:
A rectangle has width 
and length 
. The area is the multiplication of these measures, that is:
The length of a rectangle is the sum of the width and one.
This means that 
, or 
The area direct angle 72 units. What’s the length, in units, of the rectangle
We want to find the length. So
Quadratic equation with 
. So
Since the length is a positive measure, the length of the rectangle is of 9 units.
False the Pythagorean theorem is A2+B2=C2 hope this helps!
In solving for the value of x in the equation 1331x^3 - 216 = 0, the steps are shown below:
1331x^3 - 216 = 0
(1331x^3 = 216) / 1331
x^3 = 216/1331
x = cube root (216/1331)
x = 6/11
Therefore, the value of x in the equation is 6/11.
Hope yhis helps
