Answer:
x = 4.85 feet
Step-by-step explanation:
Original area of the petting farm = 10 × 14
= 140 square feet
.
New area = double the original area = 140 * 2
= 280 square feet
New area of the petting farm =
Width × length
280 = (10+x) × (14+x)
280 = 140 + 10x + 14x + x²
280 - 140 = x² + 24x
140 = x² + 24x
x² + 24x - 140 = 0
Solve the quadratic equation
x = -b ± √b² - 4ac / 2a
= -24 ± √(24)² - 4*1*-140 / 2*1
= -24 ± √ 576 - (-560) / 2
= -24 ± √ 576 + 560 / 2
= -24 ± √1,136 / 2
= -24 ± 4√71 / 2
= -24/2 ± 4√71/2
= -12 ± 2√71
x = 4.8523 or x = -28.8583
x can not be a negative value
Therefore,
x = 4.85 feet to the nearest hundredth
ANSWER
A) Inconsistent
EXPLANATION
If a system of equations has at least one solution, it is said to be consistent.
If the the system has a unique solution, then it is consistent and independent.
If the the system has infinitely many solutions, then it is consistent and dependent.
If the system of equations has no solution at all, then it is said to be inconsistent.
From the graph above, the two straight lines do not intersect because they are parallel and have different y-intercepts.
Since the two lines never meets, there is no solution for the system of equations they represent.
The correct choice is A.
Answer:
113 
Step-by-step explanation:
top rectangle = l x w = 6 x 13 = 78
lower rectangle width = 13-8=5. so a = l x w. 7 5 = 35
78+35= 113