Answer:
286
Step-by-step explanation:
Answer:
35 - 2.4(7-5)
= (35/1)-(24/10)(7-5)
= [(35×10)/(1×10)]-(24/10)(2)
= (350/10)-(24/10)(2)
= (350-24)/10(2)
= 326/10(2)
= 32.6(2)
= 65.2
Thank you.
BY GERALD GREAT.
Answer:
x = 8
Step-by-step explanation:
Equilateral triangle : congruent angles
3(7x+4) = 180
21x + 12 = 180
21x = 180-12
x = 168/21
x = 8
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
