Answer:
4, 13, 28, 49
Step-by-step explanation:
1st term = 3 × (1)² + 1 = 4
2nd term = 3 × (2)² + 1 = 13
3rd term = 3 × (3)² + 1 = 28
4th term = 3 × (4)² + 1 = 49
Using the supplementary angles theorem, it is found that the measure of the second angle is of m<2 = 45º.
<h3>What are supplementary angles?</h3>
Two angles are supplementary when the <u>sum of their measures is of 180º</u>.
The Alabama state flag has <u>two lines opposite by the same vertex</u>, hence two angles that are sided are supplementary, hence:
m<1 + m<2 = 180º.
135º + m<2 = 180º.
m<2 = 45º.
The measure of the second angle is of m<2 = 45º.
More can be learned about supplementary angles at brainly.com/question/12919120
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y = ax² + c thru (-1,4) and (0,8)
Substituting in the coordinates of each point for x and y gives two equations:
4 = a (-1)² + c
8 = a (0²) + c = c
From the second one we see c=8. Substituting into the first one,
4= a + 8
a = 4-8 = -4
Answer: a=-4, c=8
Check:
f(x) = -4x² + 8
f(0) = 8, good
f(-1) = -4(1) + 8 = 4, good
Answer:
Rotated then translated
Step-by-step explanation:
Since we have a graph, we could see where '2' is on the x axis.
Since we see that 6 is where the functions value lies, that is the answer.
Answer: When x = 2, y = 6
