Answer:
<u>The correct answer is C. 66.7</u>
Step-by-step explanation:
1. y varies directly with regard to x
y = 9 and x = 24
If y = 25, what is the value of x?
2. For finding that value of x, first of all, we should understand what happened to y.
If y moves from 9 to 25 it means that y has been multiplied by 2.77, using this simple division
25/9 = 2.777
3. And we should use that same number or value to calculate the new value of x
If x was 24, now the new value of x is 24 * 2.777
24 * 2.777 = 66. 67 or 66.7 (rounding to just one decimal)
<u>The correct answer is C. 66.7</u>
x - 5y = -5, -5x - 25y = 25
First, you'll need to get the x variable by itself.
x - 5y = -5<u>
</u><u> +5 +5</u><u>
</u> x = 0
So x is plotted on the 0.
For the second part of the first equation, you'll be looking for what the y variable represents.
x - 5y = -5
<u>-x -x</u><u>
</u> <u>-5y</u> = <u>-5</u><u>
</u><u> 5 5</u><u>
</u> y = 1
So y is plotted on the 1 on the vertical line above the 0.
For the first part of the second equation, you'll do the same thing as in the first equation.
-5x - 25y = 25
<u> +25 +25</u><u>
</u> <u>-5x</u> = <u>50</u><u>
</u> 5 5
x = 10
So the x for this equation is plotted on 10 on the horizontal line.
For the second part of the second equation, you will do the same thing as in the first equation.
-5x - 25y = 25
<u>+5 +5</u><u>
</u> <u>-25y</u> = <u>30</u><u>
</u> 25 25
y = 1.2
So the y for the second half of the second question is plotted on 1.2 on the vertical line.
<h2>
Answer: B) Perpendicular</h2>
Perpendicular means the lines may or may not be of equal length and they will not be perfectly in line with each other.
Parallel means the lines may or may not be of equal length but will be perfectly in line with each other.
Intersecting means the lines may or may not be of equal length but will touch each other.
Answer:
3. proportional
4. non propotional
Step-by-step explanation:
When the graph of the linear relationship contains the origin, the relationship is proportional
Answer:
First operation is Parathenses or Grouping. In this case, you need to use distrubtion to go past this operation
Step-by-step explanation:
Step 1 remove paranthesis
(-30a-105)=-15
Step 2: Move constant to RHS (take not negative sign is removed if sides are changed and vice versa)
-30a=-15+105
-30a=90
Step 3: Simplify
-a=3
Step 4: remove negative sign from variable
a=3
