Our three axioms A1,A2 and A3 for affine plane geometry are consistent since there is at least one model for these axioms. However this system is incomplete because in this system there exist relevant statements which cannot be either proven or disproven. Consider for example the statement A7.
Answer:
Jamie will have covered a distance of 45.08 km while Cori will be 4.8 km away
Step-by-step explanation:
Here, we want to know how far will each of both riders be in 2 hours time.
Jamie is riding 14 mph
This means the number of miles covered in two hours will be 14 mph * 2 = 28 miles
For comparison purposes, let’s convert this to kilometer.
Since 1 mile = 1.61 km, then 28 miles will be 28 * 1.61 km = 45.08 km
For Cori, he is riding at 0.04 km per minute
1 hour = 60 minutes
so 2 hours = 2 * 60 = 120 minutes
Since the speed is 0.04 km in a minute
Then the distance in 120 minutes will be 0.04 * 120 = 4.8 km
Answer:
x = 9 , y =3
Step-by-step explanation:
-3x + y = 0 ---- 1
2x -2y = -12 -----2
By elimination method:
let's first eliminate x
we can do that by making x equal in both equations
multiply equation 1 by 2 ( because 2 is the coefficient of x in equation 2 and remember we want to equate both equations)
multiply equation 2 by -3 ( because -3 is the coefficient of x in equation 2 and remember we want to equate them both)
-3x + y = 0 ×2
2x -2y = -12 ×-3
-6x + 2y = 0 ----3
-6x + 6y = 36 -----4
subtract equation 4 from 3
that will give
0-4y = -36
which is
-4y = -36
divide both sides by coefficient of y which is-4
(-4y) ÷ (-4) = (-36)÷(-4)
answer : y= 9
substitute 9 for y in equation 1
-3x + y = 0
-3x + 9 = 0
subtract 9 from both sides
-3x +9-9= 0-9
-3x = -9
divide both sides by coefficient of x which is-3
(-3x)÷(-3) = (-9÷-3)
x = 3
Answer:
40/42 = 20/21
Step-by-step explanation:
