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!
First You Have To Plot It At -3 On the Graph And Go Up 2 And Over To The Right 3
Answer: A) 30 cards
<u>Step-by-step explanation:</u>
1. 52 cards
2. subtract red suit cards: 52 - 26 = 26
3. add back the hearts: 26 + 13 = 39
4. remove the 3 remaining jacks, 3 remaining queens, & 3 remaining kings: 39 - 9 = 30
There are 30 cards remaining
Constant of Proportionality = d/t = 90/2 = 45 mph
In short, Constant of Proportionality would be: 45 miles per hour.
Here, d/t = 45
d = 45t
In short, Your Equation would be: d= 45t
Hope this helps!
Noelle goes east at N mph.
Karina travels west at N + 9
then their velocity between them is (N + N + 9)
After 8 hours they travel 8(2N + 9) = 232
(2N + 9) = 29
2N = 20
N = 10 mph for Noelle
N+9=19 mph for Karina
