So the culture banner size has length x, width x (since it is square)
The sports banner has length x+12, width x.
The area of the sports banner is length x width = x(x+12) = x²+12x.
Now, lets look at the tiles.
- The monomial, x, a factor of the expression is the width of the sports banner.
- The binomial (x+12) is the length of the spots banner (this is given!)
- The second degree term of the expression x²+12 is x², the area of the culture banner
- The first degree term of the expression x²+12x is 12x, it represents the increase in area, since the area went from x² to x²+12x
Combined work problems
job/time + job/time = job/ total time
(1/80) + (1/100) = 1/T
(10/800) + (8/800) = 1/T
18/800 = 1/T
800/18 = T
44.44 hrs = T
<span>4x
*Coefficient: 4
*Constant: 4
* # of terms: 1</span>
the width is equal to a cm.
the length is twice the width, therefore the length is equal to 2a cm.
the height is twice the length, therefore the height is equal to 4a cm.
the volume is equal to width times length times height which is equal to a * 2a * 4a which is equal to 8a^3 cubic cm.
For Example:
let a = 5
then 2a = 10
then 4a = 20
a is the width
2a is the length
4a is the height.
the length is twice the width.
the height is twice the length
the volume is equal to a * 2a * 4a which is equal to 8a^3 cubic cm.
this is equivalent to 8 * 5^3 which is equal to 8 * 125 which is equal to 1000 cubic cm.
5 * 10 * 20 = 50 * 20 = 1000 cubic cm.
formula works and so is considered to be good.
the volume is equal to 8a^3 cubic cm.
<u>* hope you understand*</u>