Answer:
B. (x+4)(x+i)(x-i)
Step-by-step explanation:
Let
We can factor this polynomial by grouping:
We factor further to obtain:
We apply difference of two squares to get:
Answer: 5 inches
Step-by-step explanation:
V = S * (30-2S)^2
V = S(900-120s+4s^2)
Volume = 4s^3 -120s^2 +900s
Find local maximum from graph at 5 (or take derivative = 0)
96.493 rounded to the nearest tenth is 96.5.
That is because 0.493 is closer to 0.5 than it is to 0.4.
Answer:85 degrees
Step-by-step explanation:
Property: In every triangle the median is divided by the centroid (intersection point of the medians) in a 2:1 ratio, the shorter toward the midpoint of the side. We use this property in all of the above:
1. PD = 15. Since we know CP=30, PD is half of that, i.e., 15
2. FP = 13. Since BF = 39, and we know that FP is 1/3 of BF (see property stated above), FP = 13.
3. BP = 26. Following (2), BF is partitioned by FP and BP as 1:2. Hence BP is 2/3 of FP, or 26.
4. CD=45. In (1) we calculated PD=15 and we are given CP=30, so CD=45.
5. PA=36. We are given EP=18, which is 1/3 of length EA, so PA = 2*EP = 36.
6. EA=54. EA=EP+PA = 18+36=54