First, determine
what type of sequence the set of numbers make up. Through simple logic, it is an arithmetic sequence, because one can see by inspection that there is a common difference of 3 (positive 3, just to be a bit more pedantic).
We then use the formula,

where

represents the

term;
a represents the starting term (so the first number in the set of numbers, which in this case is -6);
n is the term number (
1st,
2nd,
3rd term, etc.);
d is the common difference, that is, when you subtract the next term to the previous term – what is that numerical value.
To elaborate a bit more, your
1st term is -6,
2nd
is -3,
3rd is 0, etc.
Also, the formula above is something you just learn, unless you learn to proof this formula, which is something different.
So, here,

, which can be expanded to:

Therefore,
Answer:
123°
Step-by-step explanation:
2z +9 = x
y = z
2Z +9 + X + z +Y = 360
Substitute for Z
2Z +9 + 2z +9 + z + z = 360
6z +18 = 360
6Z = 342
Z = 57
2(57) +9 = 123
X = 123
Answer:
I don't know if your question is multiple choice or not but here's a close estimate to what it should be.
y =
Step-by-step explanation:
Obviously at a drop of 0 height there would be 0 rebound height so your y-intercept has to be 0.
As for the slope of the line I used the point at 2.5 and 3.
Here are the coordinates (2.5, 1.25) and (3, 1.625)
Find the average rate of change as you see below
1.625 - 1.25 = .375
3 - 2.5 = .5
.375 / .5 = .75 or 3x/4
The points aren't exactly on the line and the graph isn't 100% linear so obviously the equation is not 100% precise. The slope should very close to 0.75 or 3/4.
Multiply the coefficient of the first term by the constant 1 • -31 = -31
Find two factors of -31 whose sum equals the coefficient of the middle term, which is -2 .
-31 + 1 = -30
-1 + 31 = 30
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored