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!
4(x+5)+6=2(2x+3)
4x+20+6=4x+6
4x+26=4x+6
Get letters on left...so subtract 4x from right and do same to left
26=6
no solution because 26 does not equal 6
Answer:
Option B is the correct answer.
An association of art museums releases a study reporting that museums with restaurants have a greater number of annual visitors because---
B. There may be a correlation between having a restaurant and having a greater number of annual visitors.
Correlation can be defined as a relationship between two things. Here, the correlation is between the restaurants and the number of visitors. When they don't have restaurant, the number of visitors must have been low.
Answer:
-19/36
Step-by-step explanation:
We can find the slope using
m = ( y2-y1)/(x2-x1)
m = ( 94-56)/( 28 -100)
= 38 / -72
= -19/36
Answer:
The missing factor is (9s+1)
Step-by-step explanation:
The missing factor is (9s+1) because of the following
(9s^2 + s) + (18s+2)
If we factor out s from 9s^2+s, we get s(9s+1).
If we factor out 2 from 18s+2, we get 2(9s+1)
putting these together, we get s(9s+1) + 2(9s+1). Factoring out the common term of 9s+1, we get (9s+1)(s+2). therefore, the missing factor is 9s+1
