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Paha777 [63]
3 years ago
13

Help me solve the equation please. Thank you so much

Mathematics
1 answer:
dimulka [17.4K]3 years ago
6 0

Step-by-step explanation:

y = (1 − 3x) / (x − 2)

Set the denominator to 0.

x − 2 = 0

x = 2

There is a vertical asymptote at x = 2.

Take the limit as x approaches ∞ and -∞.

lim(x→∞) y = -3

lim(x→-∞) y = -3

There is a horizontal asymptote at y = -3.

Plug in 0 for x and y.

y = (1 − 3(0)) / (0 − 2) = -1/2

0 = (1 − 3x) / (x − 2) → x = 1/3

There is a y-intercept at (0, -1/2) and an x-intercept at (1/3, 0).

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What is the equation of the line that passes through the point (5, 6) and has a slope<br> of 2
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Answer:

y = 2x - 4

Step-by-step explanation:

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2 years ago
Harry plotted a new point Q that partitioned the directed segment from A to B into a 1:1 ratio. A. Find point Q given that A(6,
marysya [2.9K]

Answer:

Therefore,

Q(x,y)=(8,-3)

As Q is such that Segment AB is partitioned into 1 : 1

1 : 1 means Equally divided in two parts.

∴ Q is the midpoint of AB

Step-by-step explanation:

Given:

Step-by-step explanation:

Given:

Q is such that Segment AB is partitioned into 1 : 1  

Let ,

A(x₁ , y₁) = (6, -2) and  

B(x₂ , y₂) = (10, -4)

To Find:

Q( x , y ) = ?

Solution:

As Q is such that Segment AB is partitioned into 1 : 1

1 : 1 means Equally divided in two parts.

∴ Q is the midpoint of AB then By Mid point Formula the Coordinate of Q is given by,

Mid\ point(AB)=(\dfrac{x_{1}+x_{2} }{2}, \dfrac{y_{1}+y_{2} }{2})

Substituting the values we get

Q(x,y)=(\dfrac{6+10}{2}, \dfrac{-2+-4}{2})

Q(x,y)=(\dfrac{16}{2}, \dfrac{-6}{2})=(8,-3)

Therefore,

Q(x,y)=(8,-3)

As Q is such that Segment AB is partitioned into 1 : 1

1 : 1 means Equally divided in two parts.

∴ Q is the midpoint of AB

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