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!
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Answer:
no, y does not vary directly with x
Step-by-step explanation:
If there is direct variation, the constant of variation can be found as ...
k = y/x
Here, those ratios are ...
y/x = 6/3 = 2
y/x = 18/6 = 3
y/x = 24/8 = 3
The ratio of y to x is NOT A CONSTANT, so <em>there is no direct variation.</em>
Answer:
The distance between the origin and the given point is 13.9283 units.
Step-by-step explanation:
The coordinates of origin are (0,0,0)
We are given a point R(9,7,80
The distance formula:
, where 
are coordinates of one point and 
are coordinates of other point.
Putting the values as:
We get d = 
d = 
d = 13.9283
Thus, the distance between the origin and the given point is 13.9283 units.
