One way to do this problem is to determine the common difference. If the 5th and 8th terms are -9 and -21, we can do this by subtracting -9 from -21:
-21-(-9) = -12. The 5th and 8th terms are not consecutive, so we have to think in terms of (8-5), or 3, times the common difference to get from -9 to -21.
Note that -12 divided by 3 is -4. Thus, the common difference is -4.
Check: -9 - 4 = -13; -13 - 4 = -17; -17 - 4 = -21 (which is correct).
We know that the 5th term is -9. To find the 4th term, work backwards: subtract (-4) from -9, which produces -9+4=-5.
The fourth term is -5. Subtracting -4 from this (which is the same as adding 4 to this -5) produces the third term; it is -1. Can you now find the 2nd and 1st terms using the same approach?
Answer:
see below
Step-by-step explanation:
A discriminant value of zero means there is exactly one x-intercept. The graph below has that characteristic.
_____
<em>Comment on discriminant</em>
discriminant > 0, two (2) x-intercepts (first 2 graphs)
discriminant < 0, no (0) x-intercepts (third graph)
A.) A Triangle cannot be both "Obtuse and Right"
[ It must be either Obtuse, Right or Acute. Never with two multiple properties ]
Hope this helps!
Answer:
11.93
Step-by-step explanation:
Order of Operations rules require that we do the division first:
-0.48 48
-------- = --------- = 0.3
-1.6 1600
Then we combine 11.68 ad 0.3, obtaining 11.93.
Answer: X" ( -3,2) Y" (-1,0) Z" (1,6)
Step-by-step explanation:
