Answer:
The equation of the line that passes through the point (3,4) and has an undefined slope is x = 3
Step-by-step explanation:
- The slope of the horizontal line is zero
- The equation of the horizontal line passes through the point (a, b) is y = b
- All the points on the horizontal line have the same y-coordinates
- The slope of the vertical line is undefined
- The equation of the vertical line passes through the point (a, b) is x = a
- All the points on the vertical line have the same x-coordinates
Let us solve the question
∵ The line has an undefined slope
∴ The line is a vertical line
∵ The equation of the vertical line is x = a, where a is the x-coordinate
of any point on the line
∵ The line passes through the point (3, 4)
∴ a = 3
∴ The equation of the line is x = 3
The equation of the line that passes through the point (3,4) and has an undefined slope is x = 3
Given:
An athlete who makes 
laps in 3 mins 45 seconds on a 400m field.
To find:
The speed of the athlete in m/s.
Solution:
We know that,
Distance covered in 1 lap = 400 m
Distance covered in laps = 
m
= 
m
= 
m
We know that,
1 minute = 60 seconds
3 minutes = 180 seconds
3 minutes 45 second = 180 + 45 seconds
= 225 second
The speed of the athlete is:
Therefore, the speed of the athlete is about 8.44 m/s.
Answer:
40 seconds
Step-by-step explanation:
The ratio would be 3:120, indicating the amount of times it went up for air in 120 seconds. In order to find the answer, we'll find the unit rate. 120 divided by 3 is evenly 40. That means, the unit rate is 1:40. It also means that 40 seconds went by before the manatee surfaced the first time (if it held its breath for the same rate).
Answer:
18
Step-by-step explanation:
Given the data:
180kg, 250kg, 200kg, 209kg, 195kg, 205kg, 190kg, 188kg, 192kg
The interquartile range (IQR) = Q3 - Q1
Reordering the data:
180, 188, 190, 192, 195, 200, 205, 209, 250
Q3 = 3/4(n+1)th term
Q3 = 3/4(10) = 7.5 th term = (205+209)/2 = 207
Q1 = 1/4(n+1)th term
Q1 = 1/4(10) = 2.5th term = (188+190)/2 = 189
Q3 - Q1 = 207 - 189 = 18
318-47= 271 There are 271 non-fiction books in the library. just subtract 47 from 318 to get the answer.
