Answer:
Step-by-step explanation:
Given x^2+4x+13=0, find the complex roots. The best approach here is to use the quadratic formula. Note that a = 1, b = 4 and c = 13.
Thus, the discriminant, b^2 - 4ac, is (4)^2 - 4(1)(13) = 16 - 52 = -36, and the square root of that is plus or minus i√36, or plus or minus 6i.
plus or minus i√
We know that 5 fits entirely into our number three times, and then there's a remainder of 4.
If 5 fits three times exactly, it means that our number is at least 15 (5x3).
From here, we have a remainder of 4, which leads to 15+4=19
Answer: x = 54
Explanation:
180 - 14 = 166
3x + 4 = 166
3x = 162
x = 162/3 = 54
Answer:
216 m³
Step-by-step explanation:
The ratio of linear dimensions is the square root of the ratio of area dimensions.
s = √(216/1014) = √(36/169) = 6/13
Then the ratio of volume dimensions is the cube of that. The smaller volume is ...
v = (6/13)³·2197 m³ = 216/2197·2197 m³ = 216 m³
The volume of the smaller solid is 216 m³.