Given:
A line passes through the points (-1, -1) and (5,8).
To find:
Which points lie on the same line?
Solution:
If a line passes through two points, then the equation of the line is:

A line passes through the points (-1, -1) and (5,8). So, the equation of the line is:




Multiply both sides by 2.




So, the equation of the line is
.
Now, check each point for this equation.
Putting
, we get




Similarly,
For
.
For
.
For
.
For
.
For
.
Therefore, the points (-3,-4), (9,14), (1,2) and (3,5) lie on the same line but the points (4,7) and (-2,-2) are not on that line.
Answer:
The approximate area of the regular pentagon is 423 sq.cm.
Step-by-step explanation:
Formula of area of regular pentagon =
P=Perimeter of pentagon
a=Apothem
Side of pentagon = 14.1 cm
Perimeter of pentagon =
Apothem=12 cm
Area of regular pentagon = 
Hence the approximate area of the regular pentagon is 423 sq.cm.
How would we do that here
Answer:
The hour hand is three-fourths of the way from the "4" to the "5; that is, ... What is the angle between the hour hand and the minute hand at 4:40? ... What is the measure of the smaller angle formed by the hands of an analog watch if the hour hand is on the ... One has to account, however, for the 10 minutes that have passed.Step-by-step explanation:
You could use many methods to find the answer to this problem, but I am going to use the most efficient one I know.
18f+15(4f)=156
F is for fins. We should now solve the equation.
18f+60f=156
78f=156
156÷78=2
So fins cost 2 dollars. Now, we know snorkels cost four times the amount of fins. Four times 2 is eight. So the snorkels cost $8 to rent. Let's check our math.
15(8) + 18(2)
120+36=156
So it cost $8 to rent a snorkel.