Answer:
- the roots are unequal (distinct)
- the roots are irrational
- the roots are real
Step-by-step explanation:
A description of the roots of a quadratic can be had by looking at the value of the discriminant: b²-4ac, where a, b, c are the coefficients of the standard-form quadratic.
Here, we have a=3, b=6, c=1 so the discriminant is ...
d = 6² -4(3)(1) = 24
This is a positive integer that is not a perfect square. This value means ...
- the roots are unequal (distinct)
- the roots are irrational
- the roots are real
_____
The interpretation of the discriminant is ...
- d > 0, distinct real roots
- d = 0, one real root with multiplicity 2
- d < 0, complex roots
If d is an integer that is not a perfect square, the roots (or their imaginary part) will be irrational.
78.07 your very welcome sir
Answer:
(15-8)x2=14
Step-by-step explanation:
Since the student ticket adds 8 dollars at the end, it needs to be the first thing to be taken away from 15. Then, multiply that answer by 2, and you're all done!
Have a great day!
Compare the volume formulas for the prism and the pyramid:
Prism: (base)(height)
Pyramid: (1/3)(base)(height)
Thus, if the volume of the prism is 66 cu in, the vol. of the triangular pyramid is (1/3)(66 cu in) = 22 cu in.
Viola is travelling on an inclined path up the hill which makes an angle of 6 degrees with the horizontal.
The horizontal distance covered by Viola will be equal to the horizontal component of the 170 m distance covered at 6 degrees.
So, the horizontal distance covered by Viola = 170 cos(6) = 169.1 m
Thus, Viola covered 169.1 m horizontal distance
