Answer:
e^2 -7 = x
Step-by-step explanation:
2=ln(x+7)
Raise each side to the base of e
e^2 = e^ln (x+7)
The e^ln cancel
e^2 = x+7
Subtract 7 from each side
e^2 -7 = x +7-7
e^2 -7 = x
B. Step 1. 14x - 6 = 9
Step 2. 14x = 15
Answer:
4x^2 -16
Step-by-step explanation:
(2x + 4)(2x - 4)
FOIL
first:2x*2x = 4x^2
outer: -4 *2x = -8x
inner: 4*2x = 8x
last: -4*4 = -16
Add them together
4x^2 -8x+8x =-16
4x^2 -16
Answer: the lengths are 20 feet, 23 feet and 37 feet
Step-by-step explanation:
Let x represent the length of the shorter side of the triangular deck.
The second side of a triangular deck is 3 feet longer than the shortest side. This means that the length of the second side is (x + 3) feet.
The third side is 3 feet shorter than twice the length of the shortest side. This means that the length of the third of the triangle is (2x - 3) feet.
If the perimeter of the deck is 80 feet, it means that
x + x + 3 + 2x - 3 = 80
4x = 80
x = 80/4
x = 20
The length of the second side is
20 + 3 = 23 feet
The length of the third side is
20 × 2 - 3 = 40 - 3 = 37 feet
Answer: It took 65 hours for her to drive
Step-by-step explanation: