Answer:
Step-by-step explanation:
Given two parametric equations
and
, the first derivative can be found using the following equation:

In this problem,
and
. Finding the derivative of each of these functions with respect to
gives us the following:


Because
, that means the function is a vertical line and has an infinite first derivative.
Answer:
9 comedy
12 horror
Step-by-step explanation:
First, there are 360 degrees in a circle.
Comedy = 90 degrees
Action and romance = 90 degrees combined
Horror = 120 degree
Science fiction = 60 degrees
To find sci fi : 90 +90 +120 = 300 - 360 = 60 degrees
36 students took the survey.
1/4 × 36 = 9
Horror is 120 degrees out of 360 degrees or 1/3 of the circle.
1/3 × 36 = 12
Answer:
x = -4, y = 8
Step-by-step explanation:
y - 12 + 2y = 12
=> 3y = 24
=> y = 8
x = 8 - 12
=> x = -4
30 students
14 have no siblings
that leaves 16 with siblings
6 have brothers and 12 have sisters which = 18 so 2 of the students have both a brother and a sister
2/30 students have a brother and a sister
1/15 chance
Answer:
A
Step-by-step explanation:
Hyperbolic geometry is defined as a non-Euclidean geometry.
(invalidating the fifth postulate of Euclid's five fundamental postulates)
Choice B and D can be eliminated because this has nothing to do with perpendicular lines.
Choice C should be eliminated as well since that's exactly the fifth postulate of Euclid's five fundamental postulates
We are left with A by the process of elimination