1) We can determine by the table of values whether a function is a quadratic one by considering this example:
x | y 1st difference 2nd difference
0 0 3 -0 = 3 7-3 = 4
1 3 10 -3 = 7 11 -7 = 4
2 10 21 -10 =11 15 -11 = 4
3 21 36-21 = 15 19-5 = 4
4 36 55-36= 19
5 55
2) Let's subtract the values of y this way:
3 -0 = 3
10 -3 = 7
21 -10 = 11
36 -21 = 15
55 -36 = 19
Now let's subtract the differences we've just found:
7 -3 = 4
11-7 = 4
15-11 = 4
19-15 = 4
So, if the "second difference" is constant (same result) then it means we have a quadratic function just by analyzing the table.
3) Hence, we can determine if this is a quadratic relation calculating the second difference of the y-values if the second difference yields the same value. The graph must be a parabola and the highest coefficient must be 2
Answer:
As the number of sides increases, the measures of the angles increase
see the explanation
Step-by-step explanation:
we know that
The measure of the interior angle in a regular polygon is equal to
where
n is the number of sides of the regular polygon
x is the measure of the interior angle in a regular polygon
we have that
<u><em>Examples</em></u>
<em>A triangle</em>
n=3 sides
<em>A square</em>
n=4 sides
<em>A pentagon</em>
n=5 sides
<em>A hexagon</em>
n=6 sides
so
n ----> 3,4,5,6...
x ----> 60°,90°,108°,120°,...
As the number of sides increases, the measures of the angles increase
The pattern is
Answer:
7.5 in
Step-by-step explanation:
Hey there!
abx - 5 = 0 abx = 5 x = 5/(ab)
P.S- Don't call yourself dumb, you just have to learn and you'll know it!
Hope this helps!
Answer:
Its the one on the left I'm pretty sure
Step-by-step explanation:
