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!
The equation y=2x+1 has the same slope , so will be parallel to the given line.
<h3>What is a linear function ?</h3>
A function that can be represented in the form of y =mx +c , is called a Linear Function.
here m is the slope and c is the y intercept.
The slope of the given line can be found as follows
The y intercept is 4
at x = -2 , y =0
0 = -2m + 4
m = 2
The line parallel to this line will have the same slope
In the given option , Option C , y=2x+1 has the same slope , so will be parallel to the given line.
To know more about Linear Function
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Answer:
m= 
Step-by-step explanation:
1. Use the slope equation to solve the problem
2. Plug in your values into the equation.
3. Simplify the equation.
m=
Answer:
<u>42 Hours.</u>
Step-by-step explanation:
As an equation where y is the total pages and x is hours of class:
y=1+1x since she started with 1 page and does 1 page per hour.
Setting the total pages she needs as 43 (y=43) we get:
43=1+1x
Subtract one on both sides
42=1x
The 1 doesn't need to be written so
x=42
Therefore, it'll take her 42 hours to write all those notes.
