Answer:
d ≈ 5.7
Step-by-step explanation:
[Given] d² = 33
[Square root both sides]
= 
[Solve for
and cancel out the square root + square] d ≈ 5.74456
[Round to nearest tenth] d ≈ 5.7
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
The frist line may be one with the numbers 0, 1 and 2 and 10 divisions (marks at equal distance) between each integer. Each division will be equal to 0.1 units and then you can mark the second division from the zero point to the right as the 0.20 mark.
The other line must have the same integers, 0 , 1 and 2 placed in identical form as the first line. Then
- draw an inclined straight line since the point zero,
- mark 5 points in the inclined lined equally spaced over the line.
- draw a sttraight line from the 5th point to the point with the mar 1 over the base number line.
- draw a parallel line to the previous one passing trhough the second point of the inclined line and mark the point where this parallel touchs the base number line. This point shall be at the same distance from zero than the 0.2 mark was in the first number line, meaning that 0.2 and 1/5 are equivalent.
Answer:

Step-by-step explanation:
The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "c" is the y-intercept.
By definition:
1. If the lines of the System of equations are parallel (whrn they have the same slope), the system has No solutions.
2. If the they are the same exact line, the System of equations has Infinite solutions.
(A) Let's solve for "y" from the first equation:

You can notice that:

In order make that the System has No solutions, the slopes must be the same, but the y-intercept must not. Then, the values of "a" and "b" can be:

Substituting those values into the second equation and solving for "y", you get:

You can idenfity that:

Therefore, they are parallel.
(B) In order make that the System has Infinite solutions, the slopes and the y-intercepts of both equations must be the same. Then, the values of "a" and "b" can be:

If you substitute those values into the second equation and then you solve for "y", you get:

You can identify that:

Therefore, they are the same line.
For this case, what we are going to do is use the following property:
Multiply an equation by a scalar.
In this case, the scalar will be:
k = -2
We have then that equation 2 will be:
k * (4x + y) = k * 1
-2 * (4x + y) = - 2 * 1
-8x-2y = -2
Answer:
The property that justifies this manipulation is:
Multiply an equation by a scalar.