Step-by-step explanation:
Let's call L the length and W the width. The length is 10 feet longer than the width, so:
L = W + 10
The area is the length times width, so:
119 = LW
Substituting:
119 = (W + 10) W
119 = W² + 10W
0 = W² + 10W − 119
0 = (W + 17) (W − 7)
W = -17 or 7
Since W must be positive, W = 7.
L = W + 10
L = 17
The length and width are 17 feet and 7 feet, respectively.
Answer:
T(3) = 13
Step-by-step explanation:
If we are trying to find the 3rd term of this <em>specific </em>sequence, then we simply plug in 3 as n.
T(3) = (3)² + 4
T(3) = 9 + 4
T(3) = 13
However, this isn't proper notation for an arithmetic or geometric sequence.
Answer:
6 = 413 is a not true statement
Step-by-step explanation:
I've attached my work below
Hope it helps, Let me know if you have any questions/concerns !
Have a nice rest of your day :)
Answer:
6n²√3
Step-by-step explanation:
2√3n•√9n³
The above expression can be simplified as follow:
Recall
√9 = 3
2√3n•√9n³ = 2√3n × 3√n³
Recall
m√a × n√b = mn√(a × b)
Thus,
2√3n × 3√n³ = (2×3) √(3n × n³)
2√3n × 3√n³ = 6√3n⁴
Recall:
√aᵇ = (aᵇ)¹/² = aᵇ/²
√n⁴ = n⁴/²
√n⁴ = n²
Thus,
6√3n⁴ = 6n²√3
Therefore,
2√3n•√9n³ = 6n²√3
