Answer:
13 in
Step-by-step explanation:
let w be width then length is w + 6
the area (A) of a rectangle is calculated as
A = length × width , then
A = w(w + 6) = 91 , that is
w² + 6w = 91 ( subtract 91 from both sides )
w² + 6w - 91 = 0 ← in standard quadratic form
(w + 13)(w - 7) = 0 ← in factored form
equate each factor to zero and solve for w
w + 13 = 0 ⇒ w = - 13
w - 7 = 0 ⇒ w = 7
however, w > 0 then w = 7
and length = w + 6 = 7 + 6 = 13 in
Answer:
750
Step-by-step explanation:
total cost = 650
total selling = 210/3 x 20 = 70 x 20 = 1400
total profit = 1400 - 650 = 750
To solve the problem, substitute the given points for x in the given equation to get

Solving the three equations simultaneously, we have:
a = -3, b = 2 and c = -5
Therefore, the required equation is
Answer:
(x - 7)² + (y - 3)² = 5
Step-by-step explanation:
The center (h , k) is the midpoint of two end points of diameter
h = (9 + 5) / 2 = 7
k = (4 + 2) / 2 = 3
Equation of circle: (x - h)² + (y - k)² = r²
r = (√(9 - 5)² + (4 - 2)²) / 2 = √5
Equation: (x - 7)² + (y - 3)² = 5
Answer:
The correct option is B) 
Step-by-step explanation:
Consider the provided function.
and 
We need to divide f(x) by d(x)
As we know: Dividend = Divisor × Quotient + Remainder
In the above function f(x) is dividend and divisor is d(x)
Divide the leading term of the dividend by the leading term of the divisor:
Write the calculated result in upper part of the table.
Multiply it by the divisor: 
Now Subtract the dividend from the obtained result:

Again divide the leading term of the obtained remainder by the leading term of the divisor: 
Write the calculated result in upper part of the table.
Multiply it by the divisor: 
Subtract the dividend:

Divide the leading term of the obtained remainder by the leading term of the divisor: 
Multiply it by the divisor: 
Subtract the dividend:

Therefore,
Dividend = 
Divisor = 
Quotient = 
Remainder = 0
Dividend = Divisor × Quotient + Remainder

Hence, the correct option is B) 