Answer:
Step-by-step explanation:
3.AE = CE E is the midpoint of AC
4. ∠AEB = ∠CED Vertically opposite angles are equal
5. ΔAEB = ΔCED ASA congruence
Answer:
Step-by-step explanation:
Hence, on base 10, the next whole number is 4995 and if we convert back to base 9, we will have
Therefore, the number on base 9 will be 6750
Answer:
Step-by-step explanation:
One of the rules of logarithms is ...
log(a^b) = b·log(a)
So ...
The given equation with t -1 is:
(t – 1)^3 + 6 (t – 1)^2 + 12 (t – 1) + 8
Expand each term before combining for easier visualization:
(t – 1)^3 = t^3 – 3 t^2 + 3t – 1
6 (t – 1)^2 = 6 t^2 – 12 t + 6
12 (t – 1) = 12 t - 12
Then substitute and combine:
-> t^3 – 3 t^2 + 3t – 1 + 6 t^2 – 12 t + 6 + 12 t – 12 + 8
t^3 + 3 t^2 + 3 t + 1 (ANSWER)