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3 years ago

Write the slope-intercept form for the equation of a line parallel to y = -9 and passes through the point (12, -5)

Mathematics

1 answer:

shepuryov [24]3 years ago

8 0

Answer:

Let's see what to do buddy...

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Step-by-step explanation:

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STEP (1) :

The slope of the line y = - 9 is 0(zero) because it is a Horizontal line.

So the slope of the line which is parallel to y = -9  is zero .

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STEP (2) :

We have this equation to find the slope-intercept form of the linear functions :

$y - y(given \: point) = (slope) \times ( \: x -x(g \: p) \: ) \\$

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STEP (3) :

Now it is time to put the slope and the given point in the equation :

given point = ( 12 , -5 )

slope = 0 

$y - ( - 5) = 0 \times (x - 12) \\ \\ y + 5 = 0 \\ \\ y = - 5$

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And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

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A statue is mounted on top of a 21 foot hill. From the base of the hill to where you are standing is 57feet and the statue subte

AleksandrR [38]

Please find the attached diagram for a better understanding of the question.

As we can see from the diagram,

RQ = 21 feet = height of the hill

PQ = 57 feet = Distance between you and the base of the hill

SR= h=height of the statue

$\angle SPR$ =Angle subtended by the statue to where you are standing.

$\angle x=\angle RPQ$ = which is unknown.

Let us begin solving now. The first step is to find the angle $\angle x$ which can be found by using the following trigonometric ratio in $\Delta PQR$ :

$tan(x)=\frac{RQ}{PQ} =\frac{21}{57}$

Which gives $\angle x$ to be:

$\angle x=tan^{-1}(\frac{21}{57})\approx20.22^{0}$

Now, we know that $\angle x$ and $\angle SPR$ can be added to give us the complete angle $\angle SPQ$ in the right triangle $\Delta SPQ$ .

We can again use the tan trigonometric ratio in $\Delta SPQ$ to solve for the height of the statue, h.

This can be done as:

$tan(\angle SPQ)=\frac{SQ}{PQ}$

$tan(7.1^0+20.22^0)=\frac{SR+RQ}{PQ}$

$tan(27.32^0)=\frac{h+21}{57}$

$\therefore h+21=57tan(27.32^0)$

$h\approx8.45 ft$

Thus, the height of the statue is approximately, 8.45 feet.

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sergejj [24]

Answer:

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Step-by-step explanation:

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$5x+2={3(x+14)$

Now let's solve for x now

$5x+2=3(x+14)\\$

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Hope this helps you.

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