The expressions for the width, W, and area, A, of the rectangle in terms of L are:
- W =
- L - A =
The expression for the perimeter of a rectangle is given as:
P = 2(L + W)
where L is its length and W its width
a. Given that the perimeter of the rectangle is 13 feet, then;
13 = 2(L + W)
divide through by 2
= L + W
So that;
W = - L
The required formula for the width as a function of L is: W = - L
b. Area of a rectangle can be expressed as;
A = L * W
substitute the expression for width in that of area to have
A = L * ( - L)
= L - 
A =
The expression for the area A is: A =
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Answer: D
Step-by-step explanation: It fills the requirements
Answer: a. Radius of circle = 
b. The equation of this circle : 
Step-by-step explanation:
Given : Center of the circle = (3,10)
Circle is passing through (12,12).
a. To find the radius we apply distance formula (∵ Radius is the distance from center to any point ion the circle.)
Radius of circle = 
Radius of circle = 
i.e. Radius of circle =
b. Equation of a circle = 
, where (h,k)=Center and r=radius of the circle.
Put the values of (h,k)= (3,10) and r= , we get
∴ The equation of this circle :
Answer: $7,605
Step-by-step explanation:
At the end of 1 years, the amount in the account will be:
= Principal * (1 + rate)^ no. of periods
= 6,500 * (1 + 17%)
= $7,605
