Answer:
The distance traveled by the B737-400 aircraft in 5 hours is 2,000 miles
Step-by-step explanation:
Average speed = 400 miles per hour
Distance = 400t
t= 5
Total distance = 400t at t hours
Total distance when t = 5 hours
Total distance traveled = 400t
= 400 × 5
= 2,000 miles
Total distance travelled = 2,000 miles
The distance traveled by the B737-400 aircraft in 5 hours is 2,000 miles
hope this helps
Jake:
Mon- 4 boxes
End of the week- 3x the boxes on Mon
3 x 4 = 12
Sally:
Mon- 2 boxes
End of the week- 4x the boxes on Mon
4 x 2 = 8
12 + 8 = 20 boxes total
Answer:
a) SPAZ is equilateral.
b) Diagonals SA and PZ are perpendicular to each other.
c) Diagonals SA and PZ bisect each other.
Step-by-step explanation:
At first we form the triangle with the help of a graphing tool and whose result is attached below. It seems to be a paralellogram.
a) If figure is equilateral, then SP = PA = AZ = ZS:
![SP = \sqrt{[4-(-4)]^{2}+[(-2)-(-4)]^{2}}](https://tex.z-dn.net/?f=SP%20%3D%20%5Csqrt%7B%5B4-%28-4%29%5D%5E%7B2%7D%2B%5B%28-2%29-%28-4%29%5D%5E%7B2%7D%7D)

![PA = \sqrt{(6-4)^{2}+[6-(-2)]^{2}}](https://tex.z-dn.net/?f=PA%20%3D%20%5Csqrt%7B%286-4%29%5E%7B2%7D%2B%5B6-%28-2%29%5D%5E%7B2%7D%7D)



![ZS = \sqrt{[-4-(-2)]^{2}+(-4-4)^{2}}](https://tex.z-dn.net/?f=ZS%20%3D%20%5Csqrt%7B%5B-4-%28-2%29%5D%5E%7B2%7D%2B%28-4-4%29%5E%7B2%7D%7D)

Therefore, SPAZ is equilateral.
b) We use the slope formula to determine the inclination of diagonals SA and PZ:




Since
, diagonals SA and PZ are perpendicular to each other.
c) The diagonals bisect each other if and only if both have the same midpoint. Now we proceed to determine the midpoints of each diagonal:








Then, the diagonals SA and PZ bisect each other.
1/4x - 10 = -50
1/4x = one forth of a number
-10 is decreased by 10
= -50 means is -50
Part A: (n^2-6n)+16
[(n^2-6n+9)-9]+16
(n-3)^2+7
Part B: From the above result,
Vertex (3,7) this is the minimum point of the graph since the coefficient of a is positive
Part C: The axis of symmetry is basically the x coordinate of the vertex, so the axis of symmetry is x=3
Hope this helps!