a = 4, b = -21, c = -18
to keep from getting "mixed up", evaluate the discriminant first ...
b<sup>2</sup> - 4ac = (-21)<sup>2</sup> - 4(4)(-18) = 729
sqrt(729) = 27
x = (21 +/- 27)/8
x = -3/4, x = 6
since the discriminant is a perfect square, the original quadratic will factor ...
4x<sup>2</sup> - 21x - 18 = 0
(4x + 3)(x - 6) = 0
x = -3/4, x = 6
Answer:
Force= Mass×Accelaraion
F=m×a
But as The unit of accelaration is given miles per hour and the SI is meters per second sqaure we have to convert 10mph to m/s²
Thus, we have 10mph = 4.47 meters per second square. (i converted using scientific calculator)
So now we have,
2000N= m×4.47m/s²
= 2000/4.47m/s²=m
= 447.42
Thus the mass of the object is 447.42 (i am not sure of units)
Answer:
it will take 3 5/8 of gas to fill the tank
Step-by-step explanation:
14 1/2 - 10 7/8 can be re-written using improper fractions
29/2 - 87/8 We need a common denominator, which is 8
116/8 - 87/8 = 29/8 = 3 5/8 gal
Y = -3/4x + 6
you write in the y=mx+c form!
m= the slope
c = the y-intercept. (it is the second number of the coordinates)