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hodyreva [135]
3 years ago
7

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...

_________________________________

Step-by-step explanation:

_________________________________

STEP (1) :

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

So the slope of the line which is parallel to <em>y</em><em> </em><em>=</em><em> </em><em>-</em><em>9</em><em> </em><em> </em> is <em>zero</em><em> </em>.

_________________________________

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) \: ) \\

_________________________________

STEP (3) :

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

<em>given</em><em> </em><em>point</em><em> </em><em>=</em><em> </em><em>(</em><em> </em><em>1</em><em>2</em><em> </em><em>,</em><em> </em><em>-</em><em>5</em><em> </em><em>)</em>

<em>slope</em><em> </em><em>=</em><em> </em><em>0</em><em> </em>

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

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

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In the second image below I have colored each ray with the end point E in a different color.

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Next is ray EG (again the symbol above EG is --->)

Next is the ray ED (symbol above ED is --->)

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When looking at the answer choices the only two that even use the correct symbol is B and C.

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Answer:

  B. {16, 19, 20}

Step-by-step explanation:

The <em>triangle inequality</em> requires for any sides a, b, c you must have ...

  a + b > c

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  c + a > b

The net result of those requirements are ...

  • the sum of the two shortest sides must be greater than the longest side
  • the length of the third side lies between the difference and sum of the other two sides

__

If we look at the offered side length choices, we see ...

  A: 8+11 = 19 . . . not > 19; not a triangle

  B: 16+19 = 35 > 20; could be a triangle

  C: 3+4 = 7 . . . not > 8; not a triangle

  D: 5+5 = 10 . . . not > 11; not a triangle

The side lengths {16, 19, 20} could represent the sides of a triangle.

_____

<em>Additional comment</em>

The version of triangle inequality shown above ensures that a triangle will have non-zero area.

The alternative version of the triangle inequality uses ≥ instead of >. Triangles where a+b=c will look like a line segment--they will have zero area. Many authors disallow this case. (If it were allowed, then {8, 11, 19} would also be a "triangle.")

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