Answer:
8/9
Step-by-step explanation:
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.
Answer:
<P = 26 degrees
<N = 130 degrees
Step-by-step explanation:
The sum of angle of a triangle is 180, hence
<M + <N + <P = 180
If the Measure of angle N is five times the Measure of angle P, then;
<N = 5<P
<M = 24 degrees
Substotute into the formula
24 + 5<P + <P = 180
24 + 6<P = 180
6<P = 180-24
6<P = 156
<P = 156/6
<P = 26 degrees
Since <N = 5<P
<N = 5(26)
<N = 130 degrees
Hence the measure of <P is 26 degrees and that of <N is 130 degrees
Answer:
The last term is 33.
Step-by-step explanation:
Sn = (n/2)(a1 + L) where a1 = first term and L = the last.
So:
-480 = (20/2) ( -81 + L)
-480 = 10( L - 81)
L- 81 = -480 / 10 = -48
L = -48 + 81
L = 33.
