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brilliants [131]
3 years ago
5

The equation of line f is y = 1/4x -1. line g includes the point (1,-6) and is perpendicular to line f . What is the equation of

line g?
Mathematics
1 answer:
Gwar [14]3 years ago
7 0
Y=-4x+b
-6=-4+b
-2=b
y=-4x-2
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Graph y=x+1/x² and y=1/x for positive values of x.
AlekseyPX

Answer:

Graphic is showed in the figure below

Step-by-step explanation:

To graph the equations given, let's do a table for positive values of x, and, by replacing it in the equation, let's calculate the value of y. Knowing the coordinate points (x,y) we can build the graphic.

<em>x        y= x + 1/x²       y = 1/x</em>

1             2                    1

2          2.25               0.2

3          3.11                 0.33

4          4.06               0.25

When x->0 both equations -> ∞, because lim(1/x) x->0 = ∞

The graphic is showed below. In red there is y = 1 + 1/x² and in blue y = 1/x

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The graphs below are both absolute value functions. The equation of the redgraph is f(x) = |xl. Which of these is the equation o
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ANSWER

\Rightarrow y=\frac{1}{2}|x|

EXPLANATION

We want to find the absolute value function for the line in blue.

The general form of an absolute value function is:

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where (h, k) = vertex

From the line, the vertex of the graph in blue is:

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Let us pick (2, 1).

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Therefore, the absolute value function is:

\begin{gathered} y=\frac{1}{2}|x-0|+0 \\ \Rightarrow y=\frac{1}{2}|x| \end{gathered}

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belka [17]
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4 years ago
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