Answer:
(3, -3)
Step-by-step explanation:
Use the midpoint formula.
x = (x₁ + x₂) / 2
-1.5 = (-6 + x) / 2
-3 = -6 + x
x = 3
y = (y₁ + y₂) / 2
1 = (5 + y) / 2
2 = 5 + y
y = -3
The other endpoint is (3, -3).
Graph: desmos.com/calculator/aze920ns2h
Answer:
Average rate of change = 3
Step-by-step explanation:
- We know that the average rate of change is basically a measure of the slope of the secant line in the closed interval [a, b].
here a = -3 and b = 4
⇒ Average rate of change = f(b) - f(a) / b - a
= (27 - 6) / (4 - (-3))
= 21 / 7
= 3
Therefore, Average rate of change = 3
Solving the given inequality for d, we get...
6d + 15 < 50
6d + 15-15 < 50-15 <<-- subtract 15 from both sides
6d < 35
6d/6 < 35/6 <<--- divide both sides by 6
d < 5.83
Which means that d can be any of the values in this set: {0, 1, 2, 3, 4, 5}
The smallest d can be is 0. In this scenario, Jeremy pays the $15 registration but doesn't rent the camera at all
The largest d can be is 5. In this scenario, Jeremy rents the camera for 5 days
Any larger value of d is not allowed as it would make the total cost go over $50
Notice how I'm rounding down regardless how close 5.83 is to 6
Total distance covered = 5 x 30 = 150 miles
Angle of travel with respect to south pole = 180 - 164°56' = 15°4'
Let the distance southwards covered be x, then
cos 15°4' = x/150
Thus, x = 150 cos 15°4' = 144.84
Therefore, the distance covered southwards = 145 miles to the nearest mile.
Um, there are no choices, so I'll just tell you were it'd be located
Since 0.2 isn't yet 1, but its value is more than 0, it would be located in the middle of 1 and 0.
