Answer:
The expression for the length of the rectangle is 2x + 4
Step-by-step explanation:
The formula for determining the area of a rectangle is expressed as
Area = length × width
The area of a rectangle is expressed as (14x + 28) square feet. If the width of the rectangle is 7 feet, then the expression for the length of the rectangle would be
Length = Area/ width
= (14x + 28)/7
The numerator has a common factor of 7. Therefore, if we factorize 7 out, it becomes
7(2x + 4)/7
Length = 2x + 4
Given:
The polynomial is divided by (x+2).
To find:
The remainder.
Solution:
Remainder theorem: If a polynomial p(x) is divided by (x-c), then the remainder is p(c).
Consider the polynomial:
It is divided by (x+2). So, by the remainder theorem the remainder is p(-2).
Substituting x=-2 in the above polynomial, we get
Therefore, the remainder is -9.
Answer:
19.72 cm²
Step-by-step explanation:
A solid circular cylinder has a base radius 5 cm and a height 12.5 cm.
The volume of cylinder is given by :
When r = 5.05, new volum becomes,
Increase in area = 1000.97 - 981.25 = 19.72 cm²
So, the increase in surface area of the cylinder is equal to 19.72 cm².