Step-by-step explanation:
40 = 2 * 2 * 2 * 5
28 = 2* 2 * 7
So now
The GCF = 2 * 2 = 4
Linear equations are all solved the same way. Figure out the operations performed on the variable. Undo those in reverse order.
Here, the variable is
- divided by 2
- has -7 added.
In reverse order, we undo these operations by
- adding 7
- multiplying by 2.
Whatever we do to one side of an equation, we must also do to the other side. That is how the equal sign remains valid.
2 = m/2 -7
2 +7 = m/2 -7 +7 . . . . . add 7
9 = m/2 . . . . . . . . . . . . simplify
2*9 = 2*m/2 . . . . . . . . multiply by 2
18 = m . . . . . . . . . . . . . simplify. (You know that 2/2 = 1, and m*1 = m.)
The answer is m = 18.
_____
Check:
.. 2 = 18/2 -7
.. 2 = 9 -7 . . . . . . . true. The answer checks OK.
Answer:
9 x 3 = 27, 27 x 2 = 54
4 x 3 = 12, 12 x 2 = 24
9 x 4 = 36, 36 x 2 = 72
Add given areas:
54 + 24 + 72 = 150 cm^2 is your answer.
It is a positive line with a slope of 2/3 and a y-intercept of -5.
