Answer:
squrt6(84)
Step-by-step explanation:
By the law:
squrtn(a^m) = a^(m/n)
Best regards
y = mx + b
m: slope
b: y-intercept
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
3x + 9y = 18
-3x -3x
9y = -3x + 18
/9 /9
y = -3/9x + 2 OR y = -1/3 + 2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
m = -3/9 OR -1/3
b = 2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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Answer:
The slope of f(x) is 10 and the slope of g(x) is 5; g(x) has the greater y-intercept.
To find the slope of f(x), we use the slope formula: m=(y₂-y₁)/(x₂-x₁) = (-1--11)/(0--1) = (-1+11)/(0+1) = 10/1 = 10.
To find the slope of g(x), we just look at the form it is in. It is written in slope-intercept form, y=mx+b, where m is the slope. The number in g(x) that would correspond to m is 5.
The y-intercept of f(x) is found by looking at the points. Any y-intercept will have an x-coordinate of 0; the only point like this in the table is (0, -1) so the y-intercept is -1.
For g(x), we again look at the form y=mx+b. The number that corresponds with b is the y-intercept; in this case, it is 1. 1>-1, so g(x) has the larger y-intercept.
Parallel lines and midpoint of a segment
This should be the answer
First, solve the bracket:
(-3)^2 = (-3)(-3) = 9
Next, simplify
[9]^5 = 9 x 9 x 9 x 9 x 9 = 59049
59049 is your answer
hope this helps