Answer: D. 2x4+x3–x+2 is prime
Step-by-step explanation:
The slopes of lines perpendicular to each other are opposite reciprocals. So, if you are given that the slope of a line is 3 and need to find the slope of a line perpendicular to that line, you'd flip that number around and negate it, leaving you with -1/3.
To find the slope of the given line, first get it into slope-intercept form (y - mx + b, where m is the slope and b is the y-intercept).
3y = -4x + 2
y = -4/3x + 2/3
The slope is -4/3. To find the slope of a perpendicular line, find its opposite reciprocal. It is 3/4.
Answer:
3/4 (the first option)
Answer:
The ride lasts 10 minutes.
Step-by-step explanation:
The triangle that is formed is attached.
In order to find out how long the ride lasts, we need to figure out the horizontal distance 
From trigonometry we have:
Therefore
Now the amount of time 
the gondola ride lasts is equal to the distance 
divided by the speed of the gondola:
To the nearest minute this is 10 minutes.
