-The equation is actually
5x^2 -2x+1=0;
-The discriminant is b^2 -4ac=4-4•5•1=4-20=-16
-this means that the equation has no real number solutions
This problem is about the difference between distance and displacement.
The distance is how many kilometers has the car covered, the displacement is how far from the original point is the car now, and does not depend on the path followed, but it is the shortest path that connects two points.
a) In this part, they ask you for the distance. From the southernmost to the northernmost point of the circumference, the car has traveled half of the circumference, therefore:
distance = circumference ÷ 2 = 2.7km ÷ 2 = 1.35km
b) In this part, you are asked for the displacement, which in this case is the diameter of the circumference:
displacement = diameter = circumference ÷ π = 2.7km ÷ 3.14 = 0.86km = 860m
Thanks for the free points
Multiply the two desired probabilities to find the answer.
5/12 is the probability for the plain pencil since there are 5 pencils out of 12 total items.
1/2 is the probability for the colored pencil since there are 3 colored pencils out of 6 total items. 3/6 simplifies to 1/2.
5/12*1/2= 5/24
Final answer: 5/24
1 1/2
Hoped this helps! Mark as branliest if possible!