Answer:
A
Step-by-step explanation:
Joint variation is given by:
Where k is some constant.
We are given that y = 360 when x = 4 and z = 10. Therefore:
Solving for k:
Therefore, our equation is:
Then when x = 5 and z = 12:
The answer is A.
48.9 / 4 = 12.225
distance = 100m
time = 12.225 sec
v = d/t
The answer is 8.1799
The simple way of calculating a perimeter is to add all of the sides.
For a rectangle this would equal 2 x length + 2 x width
P = 2(6x + 3) + 2(-2x - 5)
= 12x + 6 - 4x - 10
= 8x - 4
At a higher level both the length and width must be greater than zero (= zero is a trivial rectangle)
6x + 3 > 0
6x > -3
x > -0.5
-2x - 5 > 0
2x + 5 < 0 (multiplying by -1 reverses the inequality)
2x < -5
x < -2.5
This rectangle cannot exist as x cannot be < -2.5 and > -0.5 at the same time!
Answer:
A. Playfair's axiom.
Step-by-step explanation:
In a plane, given a line and a point not on it, at most, one line parallel to the given line can be drawn through the point.
- this implies Euclid's fifth postulate.
A simpler form of this expression would be 19y-9
