The line a and line b are parallel to each other since if you draw another line or a third plane and it contains both points both in line a and in line b it means that this third plane passes through to the both lines a and b. In order to achieve both lines a and b can be passed by the third plane, they should be parallel to each other.
The answer is C
4(3-x)+6x=3x+12-x All real numbers are solutions.
Answer:
Solutions are 2, -1 + 0.5 sqrt10 i and -1 - 0.5 sqrt10 i
or 2, -1 + 1.58 i and -1 - 1.58i
(where the last 2 are equal to nearest hundredth).
Step-by-step explanation:
The real solution is x = 2:-
x^3 - 8 = 0
x^3 = 8
x = cube root of 8 = 2
Note that a cubic equation must have a total of 3 roots ( real and complex in this case). We can find the 2 complex roots by using the following identity:-
a^3 - b^3 = (a - b)(a^2 + ab + b^2).
Here a = x and b = 2 so we have
(x - 2)(x^2 + 2x + 4) = 0
To find the complex roots we solve x^2 + 2x + 4 = 0:-
Using the quadratic formula x = [-2 +/- sqrt(2^2 - 4*1*4)] / 2
= -1 +/- (sqrt( -10)) / 2
= -1 + 0.5 sqrt10 i and -1 - 0.5 sqrt10 i
Answer:
104°
Step-by-step explanation:
let the second angle be x , then
the first angle is x + 24
the third angle is 4x , thus summing and equating to 180
x + x + 24 + 4x = 180, that is
6x + 24 = 180 ( subtract 24 from both sides )
6x = 156 ( divide both sides by 6 )
x = 26
Thus largest angle = 4x = 4 × 26 = 104°
Answer:
36
Step-by-step explanation:
6•6=36
