The slope of the line perpendicular to the line seen in the picture is - 2 / 3.
<h3>How to determine the slope of a line perpendicular to another line</h3>
The slope of a function is determined by the secant line formula and is defined by the following expression:
m = Δy / Δx (1)
Where:
- Δx - Change in the independent variable.
- Δy - Change in the dependent variable.
- m - Slope of the line.
Besides, by analytical geometry, the slope of a line perpendicular to another line is equal to:
m' = - 1 / m
If we know that Δx = 2 and Δy = 3, then the slope of the line perpendicular to the line seen in the picture is:
m = 3 / 2
m' = - 1 / (3 / 2)
m' = - 2 / 3
The slope of the line perpendicular to the line seen in the picture is - 2 / 3.
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In writing down the opposite value of each number, the comparison Tina wrote incorrectly is: Comparison X
<em><u>Recall:</u></em>
- Opposite values of a number are numbers that are of the same distance from point zero on a number line.
- For example, if a is a number, the opposite of a is -a. Or if -3 is a number, the opposite of -3 is 3 because -3 and 3 are both 3 units away from point zero on a number line.
Thus, Tina's comparison is given in the diagram attached below.
The comparison labelled X is incorrect because -(-9) = 9. Opposite of 9 is -9.
Therefore, in writing down the opposite value of each number, the comparison Tina wrote incorrectly is: Comparison X
Learn more about opposite value of a number on:
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-9p - 5m = 60
-9p - 5m + 5m = 5m + 60
-9p = 5m + 60
-9 -9
p = ⁻⁵/₉m - 6²/₃
You have to add 5m on each side in order to find the value of p. then, you have to divide it by -9 in order to find the value of p.
Answer:
0.613 ...............................
For this case, what we must do is find the surface area of the cube.
By definition, the surface area of a cube is given by:

Where,
L: length of the sides of the cube.
Substituting values we have:
Answer:
The total surface area that will be painted is:
24 cm²