The answer is B because r is negative and less than the critical value.
You know they are parallel because the lines will never intersect or meet. (Two straight lines usually mean it is parallel)
Answer:
7(3^2) + 2(3).
That equals to 7(9) + 2(3).
That equals to 63 + 6.
That finally equals to 69.
Step-by-step explanation:
Answer:
26, 42
Step-by-step explanation:
2, 4, 6, 10, 16
This sequence is
⇒ the next term is the sum of the previous 2 terms.
Therefore, the next 2 numbers in this sequence would be:
10 + 16 = 26 and 26 + 16 = 42
Answer:
20 units²
Step-by-step explanation:
The x-intercepts are symmetrically located around the x-coordinate of the vertex, so are at
1.5 ± 5/2 = {-1, 4}
Using one of these we can find the unknown parameter "a" in the parabola's equation (in vertex form) ...
0 = a(4 -1.5)² +12.5
0 = 6.25a +12.5 . . . . . simplify
0 = a +2 . . . . . . . . . . . divide by 6.25
-2 = a
Then the standard-form equation of the parabola is ...
y = -2(x -1.5)² +12.5 = -2(x² -3x +2.25) +12.5
y = -2x² +6x +8
This tells us the y-intercept is 8. Then the relevant triangle has a base of 5 units and a height of 8. Its area is given by the formula ...
A = (1/2)bh = (1/2)(5)(8) = 20 . . . . units²