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.
The value of x when y = 14 is 8.4
<h3 />
<h3>How to solve variation ?</h3>
y, varies directly as x. Therefore,
y ∝ x
Therefore,
y = kx
where
- k =constant of proportionality
Therefore,
10 = 6k
k = 10 / 6
k = 5 / 3
Hence, when y = 14
y = kx
14 = 5 / 3 x
cross multiply
42 = 5x
x = 42 / 5
x = 8.4
learn more on variation here: brainly.com/question/20707320
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The equation of nth term will be written as for n as will be (
- a₁ + d) / d. Then the correct option is D.
The missing options are attached to the picture given below.
<h3>What is a sequence?</h3>
A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.
The formula for the nth term of an arithmetic sequence can be found using the formula given below.

Then arrange the equation for n, we have

Then the correct option is D.
More about the sequence link is given below.
brainly.com/question/21961097
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Answer:
D) very likely
Step-by-step explanation:
The possible outcomes are 1,2,3,4,5,6
Between means 2,3,4,5
A) certain it is not certain because we could get 1 or 6
B) unlikely we have a 4/6 change of getting our number rolled so it is not unlikely
C) impossible we have a 4/6 change of getting our number rolled so it is not impossible
D) very likely we have a 4/6 change of getting our number rolled so it is better than 50 % we will have one of our numbers rolled
$15.00 * 20% = $15.00 * 0.2 = $3.<span>00
the answer is </span>$3.<span>00</span>