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Elenna [48]
3 years ago
12

The product of the slopes of two non-vertical perpendicular lines is always -1. It is NOT possible for two perpendicular lines t

o both have a positive slope because the product of two positives is positive. So for the product of the slopes to be -1, one of the slopes must be positive and the other negative.
T or F
Mathematics
2 answers:
Eva8 [605]3 years ago
5 0
I think the answer is true

klasskru [66]3 years ago
4 0

Answer:

<h2>True.</h2>

Step-by-step explanation:

The given statement is true, because the condition of perpendicularity is

m_{1} m_{2} =-1

Where m_{1} and m_{2} are the slopes of the lines.

If you think this through, two perpendicular lines actually have inverse directions, because one must be horizontal regarding the direciton of the other.

So, that "opposite direction" is shown by having an opposite slope, which must also have opposite sign, because remember that signs represents the orientation of the line.

For example, if the first line has slope of 3, the perpendicular line must have a slope of -1/3, which completes the result -1.

Therefore, the statement is completely true.

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3 years ago
Read 2 more answers
X=(y)/(y-3) make y the subject
Liula [17]

Answer:

\displaystyle y=\frac{3x}{x-1}

Step-by-step explanation:

<u>Solving Equations</u>

We have the expression:

\displaystyle x=\frac{y}{y-3}

And it's required to make y the subject.

It can be done by isolating y on the left side of the equation and the rest of the expression on the right side.

The first step is removing the denominator by multiplying both sides by y-3:

\displaystyle (y-3)x=(y-3)\frac{y}{y-3}

Simplifying the right side:

\displaystyle (y-3)x=y

Remove the parentheses:

yx-3x=y

Move the y's to the left side and the rest of the expression to the right side:

yx-y=3x

Factor out y:

y(x-1)=3x

Divide by x-1:

\mathbf{\displaystyle y=\frac{3x}{x-1}}

7 0
3 years ago
Write the equation of<br> the line that passes<br> through (2,-4) &amp;<br> has a slope of -1.
zzz [600]

Answer:

y= -1x-6

Step-by-step explanation:

The equation would be y=mx+b

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If you look at a graph and use the slope to get to the Y-intercept you'll see that it is -6, and so you would just plug that into the equation along with the slope :)

7 0
3 years ago
Define the term net income .. according to the given context​
Pachacha [2.7K]

ANSWER: the amount an individual earns after subtracting all expenses, taxes and costs.

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allsm [11]
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