Answer:
True
Step-by-step explanation:
y = mx + b,
where m = slope and b = y-intercept.
You have m = -2 and b = -5, so you get
y = -2x - 5
Answer: True
Answer:
The angles are vertical angles and they are congruent
Step-by-step explanation:
<span>5<span>2–√ i would believe</span></span>
Add the amount of students together (21+24=45)
Divide by three to see how many will be in each group. (45/3 = 15)
15 in each group!
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