Answer: 3.16 units (Option C)
Step-by-step explanation:
The key to this problem is to use the distance formula, which is:
Distance = 
The first point, T = (x₁,y₁), and the second point, U = (x₂,y₂).
Plugging the two points into the equation, we get:
Distance = 
The values within the parenthesis are subtracted:
Distance = 
The values are then squared:
Distance = 
Finally, they are added together:
Distance = 
can be approximated as 3.16, so the distance between the two points is 3.16 units.
The initial velocity: v o = 20 m/s.And : a = 1.5 m / s² , t = 5 s.The final velocity formula:v = v o + a · tv = 20 + 1.5 · 5v = 20 + 7.5v = 27.5 m /sAnswer: The car`s final velocity is 27.5 meters / second.
Answer:
Inscribed Angle (A)
Step-by-step explanation:
in geometry, an inscribed angle is the angle formed in the interior of a circle when two secant lines (or, in a degenerate case, when one secant line and one tangent line of that circle) intersect on the circle. It can also be defined as the angle subtended at a point on the circle by two given points on the circle.
All factors of 12 are {-12, -6, -4, -3, -2, -1, 1, 2, 3, 4, 6, 12}, so x is one of these numbers.
t is a prime, so t∈{2, 3, 5, 7, 11, 13, 17, 19, 23....}
A) t/x cannot be 1/12, because 1 is not a prime. NOT POSSIBLE
B) 1/4 = 3/12 ...... 3 is a prime and 12 is a factor of 12. POSSIBLE
C) 1/2= 3/6 .....3 is a prime and 6 is a factor of 12. POSSIBLE
D) 1 = 2/2....... 2 is a prime and 2 is a factor of 12. POSSIBLE
E) 2 = 2/1 ....... 2 is a prime and 1 is a factor of 12. POSSIBLE
Answer: A
