Answer:
y-coordinate = 0
Step-by-step explanation:
Consider the below diagram attached with this question.
Section formula:
If a point divides a line segment in m:n whose end points are 
and 
, then the coordinates of that point are
From the below graph it is clear that the coordinates of end points are J(1,-10) and K(7,2). A point divides the line JK is 5:1.
Using section formula, the coordinates of that point are
Therefore, the y-coordinate of the point that divides the directed line segment from J to k into a ratio of 5:1 is 0.
Answer:
B
Step-by-step explanation:
The exponential function has the form 
where a is the starting value or y-intercept. B is the rate of change and x is the variable typically time. In this situation, 
has starting value 4, rate 3 and a -x.
Normally an exponential curve glides left to right growing steeper as it goes. But a -x flips this behavior. The curve starts very steep then gradually slows down. This means only graphs B or D are options. Since only graph B of these two has a y-intercept at 4, graph B is the solution.
Answer:
The type of sample that can be considered unreliable is type (a), in which responses are voluntary.
Step-by-step explanation:
The type of sample that can be considered unreliable is type (a), in which responses are voluntary.
It can be considered unreliable because being voluntary, the answers will give a biased result and the analysis will not be valid.
The rest of the options, if the necessary collections are taken, are samples that can be considered reliable.
Answer:
1.6 miles
Step-by-step explanation:
Example 1
It took Markus half an hour to drive home from work. He averaged 34 miles per hour. How far does Markus live from his work?
Solution
We are given that it takes 1/2 an hour for the trip. This is a time:
t = 1/2
We are given that he averages 34 miles per hour. This is a rate:
r = 34
We are asked how few he has traveled. This is a distance. We use the d=rt equation:
d = rt
= (34)(1/2)
= 17
Markus lives 17 miles from work.
Now try one by yourself. If you want to see the answer, put your mouse on the yellow rectangle and the answer will appear.
Exercise 1
The current along the beach is moving towards the south at 1.5 miles per hour. If a piece of debris is placed into the water, how far will the current take it in 6 hours?
