Consider the three points (-7, -7), (21, 14), (49, 35)
part a: which of the following points are on the same line that passes through the (-7, -7), (21, 14), (49, 35)? select all that apply.
a. (5, 9)
b. (5, 2)
c. (17, 11)
d. (4,3)
e. (33,23)
part b: show or explain how you determined which points were on the line and which were not on the line.
Part a) B (5,2) and E (33,23) lie on the line
A (5,9) ,C. (17, 11) and D. (4,3) do not lie on the line.
Part b) By substituting the given point into the equation of the line going through (-7, -7), (21,14), (49, 35).
Step-by-step explanation:
Given the three points (-7, -7), (21,14), (49, 35);
We find the slope using:
Find the slope using (-7, -7) and (21, 14), we have :
The equation of this line through (-7, -7) and (21, 14),is given by
We substitute the point and slope to get:
This gives us
We check and see if the point (49,35) lies on the same line.
When x=49 do we get y=35?
Yes
For point A (5,9)
When x=5, do we get y=9?
No
For point B (5,2)
When x=5, do we get y=2?
Yes, that's what we just got in A above.
For point C (17,11)
When x=17, do we get y=11?
No
For point D (4,3)
When x=4, does y=3?
No
For point E (33,23)
When x=33, does y=23?
Yes
total amount to be paid = $19.5
step-by-step explanation:
given ,
original price = $25.99
discount = 25%
discount amount = 25% of original price
discount amount = 25/100 * 25.99
discount amount = $6.49
hence , the total amount to be paid = original price - discount amount
= $25.99 - $6.49
=$19.5
total amount to be paid = $19.5
54 km / hours
step-by-step explanation:
we need to convert seconds to hours
60 seconds = 1 minutes
60 minutes = 1hour
15 m 60 second 60 minutes
* * = 54000 meters/ hour
second 1 minute 1 hour
now we need to convert meters to km
1000 m = 1 km
54000 m 1 km
* = 54 km / hours
hour 1000m
part a: which of the following points...