Answer:
B
Step-by-step explanation:
Adams headed the Commission that negotiated the Treaty of Ghent in 1814, which ended the War of 1812 with Great Britain.
THEY ARE ALWAYS PARALLELOGRAMS
Answer:
1. x = 12
2. 3∛4 feet.
Step-by-step explanation:
1. We are given the equation of x as
and we have to find the extraneous solution of the equation.
Now,
............. (1)
⇒ 
Squaring both sides we get,
⇒ x - 3 = 81 - 18x + x²
⇒ x² - 19x + 84 = 0
⇒ x² - 12x - 7x + 84 = 0
⇒ (x - 12)(x - 7) = 0
⇒ x = 12 or 7.
Now, putting x = 12 in the equation (1) we get,

Again, putting x = 7 in the equation (1) we get,

Therefore, x = 12 is an extraneous solution of this equation. (Answer)
2. The volume of a cube with side lengths a ft. is given to be 108 ft³.
So, a³ = 108
⇒ a = 3∛4 feet.
Therefore, the length of the sides of the cube are each 3∛4 feet. (Answer)
Answer:
The area of the figure is 7.5
.
Step-by-step explanation:
In order to make the calculation process easier, you can cut the shape into a trapezoid and a triangle. The triangle's base has a length of 3 units and a height of 2 units, so its area is 3
. The top base of the trapezoid has a length of 1 unit, the bottom base of the trapezoid has a length of 2 units, and the trapezoid has a height of 3 units, so the area of the trapezoid is 4.5 units. To find the area of the shape, add the areas of the trapezoid and the triangle together, which is 3 + 4 .5 = 7.5
Charter Bus:
1.
350 ( distance) / 50 ( rate) = 7 (time in hours).
Conclusion - Will take the charter bus 7 hours to drive from Norfolk to New York.
2.
12 - 6 = 6 A.M ( counting for time left in this half of the day)
7 - 6 = 1 hour left ( which will be then 1 P.M )
Conclusion- Will arrive in New York City at 1 P.M.
Personal Vehicle:
3.
1 hour : 70 miles, 2 hours : 140 miles, 3 hours : 210 miles, 4 hours : 280 miles, 5 hours : 350 miles.
Conclusion: It will take 5 hours to get to New York City from Norfolk.
4.
12 A.M - 7:30 A.M = 4:30 A.M
5 - 4.5 = 0.5 hours left ( which will be then 12:30 P.M )
Conclusion- Will arrive in New York City at 12:30 P.M.
Meet Up:
5. By looking at the rates/ratios of both vehicles and finding out the time it would take with both vehciles also I figured out that Dakota's parents will arrive first.
I didn't include a graph, I thought that you could do that with the rates of both vehicles.