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3 years ago

Which statement is true about the graphs of the two lines y = –6 and x =1/6 ?

Mathematics

2 answers:

sweet-ann [11.9K]3 years ago

6 0

These lines are perpendicular because y = -6 is a horizontal line with a slope of 0 and x = 6 is a vertical line with an undefined slope

lisabon 2012 [21]3 years ago

3 0

Answer:- The lines are perpendicular to each other because the graph of y = –6 is a horizontal line with a slope that is undefined, and the graph of x = 1/6 is a vertical line with a slope of 0.

Explanation:-

The x -axis is a horizontal line with the equation y=0. Its slope is 0

The y -axis is a horizontal line with the equation x=0 . Its slope is not defined.

y=-6 is a horizontal line and is parallel to x axis.

∴Its slope is 0. [slope of parallel lines are equal]

x=1/6 is a vertical line parallel to y-axis.

∴ Its slope not defined. [slope of parallel lines are equal]

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Answer:

First off, we look for which circles are open or closed.

We start with an open interval since the circle on the left is open and end with a closed interval since the circle on the right is closed.

Domain is all x values, Range is all y values

The graph shows the continous function going from -3 to 1 on the x axis.

According to the circles, this means our domain will be (-3,1].

Now, the range doesn't care about if its closed or not. So we can say the graph is on the y axis from -4 and 0. This means the range is -4<y<0

I used different notations for both just incase you need to represent your answer differently :)

-3<x<1 & (-3,1] . Range is [-4,0]. 0>y>-4 looks correct as-well.

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3 years ago

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WINSTONCH [101]

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3 years ago

Given the arithmetic sequence an = 4 − 3(n − 1), what is the domain for n?

Oxana [17]

Answer:

The answer is All integers where n ≥ 1

Hope this helps!

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3 years ago

A flag pole has a rope that attaches to the ground from the top of the flagpole the rope create a 30° angle with the ground and

OLEGan [10]

Answer:

$5.77\ \text{m}$

$11.54\ \text{m}$

Step-by-step explanation:

p = Height of pole

h = Length of role

b = Distance between the bottom of the rope and bottom of the pole = 10 m

$\theta$ = Angle between the rope and the ground = $30^{\circ}$

$\tan\theta=\dfrac{p}{b}\\\Rightarrow p=b\tan\theta\\\Rightarrow p=10\tan30^{\circ}\\\Rightarrow p=5.77\ \text{m}$

The length of the rope is $5.77\ \text{m}$

$\cos\theta=\dfrac{b}{h}\\\Rightarrow h=\dfrac{b}{\cos\theta}\\\Rightarrow h=\dfrac{10}{\cos30^{\circ}}\\\Rightarrow h=11.54\ \text{m}$

The length of the pole is $11.54\ \text{m}$

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levacccp [35]

Answer:

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Step-by-step explanation:

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