Answer:
Third option. 
Step-by-step explanation:
For this exercise you need to remember one of the properties for exponents.
There is a property called the "Negative property of exponents" which states the following:
Where 
As you can observe, 
is the reciprocal of 
In this case you have the following expression given in the exercise:
Observe the expression. As you can notice, the base "n" has a negative exponent, which is -6.
Therefore, applying the Negative property of exponents explained at the beginning of this explanation, you can simplify the expression.
Then, the simplified form of 
is the one shown below:
First we need to find the slope of the original equation
2x - 3y = 3
-3y = -2x + 3
y = 2/3x - 1....the slope here is 2/3.
However, we need a perpendicular line...so we need to use the negative reciprocal slope. All that means is flip the slope and change the sign.
slope 2/3.....flip.....3/2....change the sign...-3/2.
so our perpendicular line will need a slope of -3/2.
y = mx + b
slope(m) = -3/2
(-8,2)...x = -8 and y = 2
now we sub and solve for b, the y int
2 = -3/2(-8) + b
2 = 12 + b
2 - 12 = b
-10 = b
so our perpendicular line is : y = -3/2x - 10
Answer:
12 minutes.
Step-by-step explanation:
Marla uses two copiers to make copies of a one-page newsletter. *Copier R makes 60 copies per minute. *Copier T makes 40 copies per minute.
Since both copier start at the same time, let the number of minutes used by both copiers be represented by x
60 × x + 40 × x = 1200 copies
60x + 40x = 1200
100x = 1200
x = 1200/100
x = 12 minutes
Therefore, it will take 12 minutes l to make 1200 copies.
-2 1/2 / 6 would be -5/12, just turn - 2 1/2 into a decimal and divide by 6 :)
Factors of 30: 1,2,3,5,6,10,15,30
