<h3>
Answer: x = -8</h3>
Explanation:
Both points have the same identical x coordinate, so this line is completely vertical. Vertical lines are always of the form x = k, where k is some constant.
The equation must be x = -8 since we want both x coordinates to be -8.
Side note: The slope of this line is undefined, which applies to any vertical line.
Answer:
A
Step-by-step explanation:
Joint variation is given by:

Where k is some constant.
We are given that y = 360 when x = 4 and z = 10. Therefore:

Solving for k:

Therefore, our equation is:

Then when x = 5 and z = 12:

The answer is A.
Answer:
B). Graph B
Step-by-step explanation:
A Histogram is a graphic representation of data using bars varying in height as per the range of values.
In the given question, the second option correctly represents the data provided in the table using a histogram. It portrays the class ranging from 0.320 - 0.329 with an average of 1 in the first bar, from 0.330 - 0.339 with an average of 14 runs in the second bar, and moves so on till 0.360-0.369 correctly. The other options fail to portray the numerical distribution appropriately and hence, <u>option B</u> is the correct answer.
Answer:
1) 
2) 
3) 
4) 
5) 
Step-by-step explanation:
To solve each proportion, we apply cross multiplication.
Question 1:


Simplifying both sides by 5

Question 2:


Simplifying both sides by 20

Simplifying by 3

Simplifying by 2

Question 3:


Simplifying both sides by 7

Simplifying both sides by 3

Question 4:



Question 5:


Simplifying by 2, both sides

Simplifying by 8, both sides
