Answer:
First one is a slope between 0 and 1
second one is a slope lower than 0
third one is a slop higher than 1
last one is a slope higher than 1 (technically undefined)
Step-by-step explanation:
The volume of a rectangular prism is represented by the following equation:

where w is the width , l is the length, and h is the height
Replace
with
since the length is tripled


From this, we see that this new volume is 3x larger than the original. Thus, the volume is tripled when its length is tripled.
Let me know if you need any clarifications, thanks!
The equation of a line that is perpendicular to the given line is y = –4x – 16.
Solution:
The equation of a line given is y = 0.25x – 7
Slope of the given line(
) = 0.25
Let
be the slope of the perpendicular line.
Passes through the point (–6, 8).
<em>If two lines are perpendicular then the product of the slopes equal to –1.</em>




Point-slope intercept formula:

and 
Substitute these in the formula, we get



Add 8 on both sides of the equation.


Hence the equation of a line that is perpendicular to the given line is
y = –4x – 16
Answer:
Step-by-step explanation:
A shopper paid $2.52 for 4.5 pounds of potatoes. This means that the unit price for each potato would be
2.52/4.5 = 0.55556
Approximately $0.6 per pound.
The shopper paid $7.75 for 2.5 pounds of broccoli. This means that the unit price for each broccoli would be
7.75/2.5 = $3.1 per pound.
The shopper paid $2.45 for 2.5 pounds of pears. This means that the unit price for each pear would be
2.45/2.5 = $0.98 per pound