Answer: The prime factorization of 15 is: 3 x 5. The prime factorization of 18 is: 2 x 3 x 3. The prime factors and multiplicities 15 and 18 have in common are: 3. 3 is the gcf of 15 and 18.
Step-by-step explanation:
Answer:
75 mph
Step-by-step explanation:
A biker must circle a 12-mile track twice. His average speed must be 60 mph.
So, the average time required to cover the distance is
hours.
Now, on his first lap, he averaged 50 mph.
So, he covered this 12 miles track in
hours.
Hence, he has to cover the next 12 miles track in (0.4 - 0.24) = 0.16 hours.
Therefore, his average speed in the second round must be
mph to qualify. (Answer)
Answer:
y =
x - 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = -
x - 3 is in this form
with slope m = - 
the slope of a perpendicular line is the negative reciprocal of m, hence
= 
(0 , - 1 ) is the y-intercept ⇒ c = - 1
y =
x - 1 ← equation of perpendicular line