Answer:
y=1
Step-by-step explanation:
Let's solve by opening the bracket first
-5-(15y-1)=2(7y-16)-y
Open the bracket
-5-15y+1=14y-32-y
Collect like terms
-5+1+32=14y-y+15y
-5+33=14y+14y
28=28y
Divide both sides by 28
y=1
Therefore the final answer is 1
Answer:
n -8.2 = 2.3(t -1)
Step-by-step explanation:
You are given definitions for the variables t and n, along with two data points:
(t, n) = (1, 8.2) and (5, 17.4)
The slope of the line between these points is ...
m = (y2 -y1)/(x2 -x1)
m = (17.4 -8.2)/(5 -1) = 9.2/4 = 2.3
The equation can be written in point-slope form as ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
n -8.2 = 2.3(t -1) . . . . a linear model describing the data
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<em>Additional comment</em>
If we eliminate the parentheses and add 8.2, we get the point-slope equation ...
n = 2.3t +5.9
Hello,
Let's assume a polygonal of n vertices.
Starting from of vertice we can reach n-1 vertices by 2 must be excluded.
So there are n*(n-1-2) possibilities but each possibility is counted twice
Number of diagonals = n(n-3)/2
Examples:
n=4==>#=4*(4-3)/2=4*1/2=2
n=5==>#=5(5-3)/2=5*2/2=5
n=6==>#=6*(6-3)/2=6*3/2=9
n=17==>#=17*(17-3)/2=119.
