Answer:
Graph B
Step-by-step explanation:
the line is at some point perpendicular to the y-axis, there is no unique y value for this x value, which contradicts the definition of a function.
Let the measure of an angle be "a"
let the supplement be "s"
a= s-23
A.) 7^4x = 10
log base 10 (7^4X) = log base 10 (10)
4x log base 10 (7) = 1
4x (0.8451) = 1
3.3804x = 1
x = 0.2958
b.) ln(2) + ln(4x-1) = 5
ln (2 * 4x-1) = 5
ln (8x-2) = 5
log base (3) (8x-2) = 5
e^5 = 8x-2
e^5+2 = 8x
x = 18.8016
By Pythagoras AB^2 = 12^2 - 6^2 = 108
AB = sqrt 108 = 10.39 to nearest hundredth
The perpendicular from M to DC will be parallel and equal to AB so it = 10.39.
Also AB^2 = CB * DB
108 = 6 * DB
DB = 108/6 = 18
so DC = 18-6 = 12
MD^2 = (1/2*12)^2 + 108 = 144
so MD = 12
Answer: 0.1714 miles / hour
Step-by-step explanation:
Given the following :
Distance to the store = 3 miles
Time taken to get to store = 12 hours
Time taken to return = 23 hours
The average rate of speed for the trip =?
Average Speed = total distance traveled / total time taken
Total distance traveled = 2 × 3 miles = 6 miles
Total time taken = 12 + 23 = 35 hours
Average speed = 6 miles / 35 hours
Average speed = 0.1714 miles / hour
