3. Each square on a grid represents 1 unit on each side. Match the numbers with the slopes of the lines.

A. 4

B. 1/4

C. -1/4

Step-by-step explanation:

The slope of each of these lines could be found by counting the rise over run. This means that you can count the change in y and divide it by the change in x. For example, the first line increase 4y and 1x. So, the slope is 4/1 or just 4.

However, there is another way to find the answer. If you understand the way slope affects a line, then you don't need to count the lines. Slopes that are greater than 1, like 4, will make a line steeper. The first graph has the steepest line; therefore, it must have a slope of 4. Fraction slopes will make the line less steep. The second 2 graphs are less steep, so they must be fractions. Finally, negative slopes will go in the opposite direction. The y-value will decrease as you go to the right instead of increasing like a positive slope. Therefore, graph 3 must have a slope of -1/4.

b

step-by-step explanation:

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: