If she puts 0 in the box she would have a direct variation.
Lydia writes the equation y = 5x - __ with a missing value.
She puts a value in the box and says that the equation represents a direct variation.
We have to choose the correct option from the given options that explain that the equation could represent a direct variation.
When two variables are such that one is a constant multiple of the other, we said they are in Direct variation.
<h3>What is the
direct variation?</h3>
In form of y = ax, where y and x are in direct variation.
Consider the given equation y = 5x - __
For the equation to be in direct variation the value of the missing term has to be 0.
then the equation becomes,
y = 5x
Thus, If she puts 0 in the box she would have a direct variation.
Option (a) is correct.
To learn more about the direct variation visit:
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Answer: 1/2
Step-by-step explanation:
1) Put the equation into y=kx form
- add 4x to both sides
- divide by 8 on both sides to get y=1/2x
2) k is the constant of proportionality
Answer:
Please see attached image for the graph
Step-by-step explanation:
To graph the elevation versus time, we start by plotting the first point at time zero (when the climb begins) when Zane is 20 meters below the edge (-20 meters). This corresponds to the point (0, -20).
One second later (1 in the horizontal axis), Zane has moved up 4 meters, now reaching -16 meters. This is the point (1, -16) on the graph.
One second later at time 2 seconds, he is another 4 meters up which corresponds to the point (2, -12) on the graph.
you can go on like this plotting more points on the graph.
Please see the attached image that illustrates this and shows the appropriate line that represents Zane's position versus time (pictured in red)
You would do 56+37 and that would be 93 so you would have 93 pencils
Given:

To find:
The missing length marked with a question mark.
Solution:
Let x be the missing value.
We have,

Corresponding sides of similar triangles are proportional, so

Using this, we get

On substituting the values, we get


On cross multiplication, we get




Therefore, the missing length is 56 units.