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krek1111 [17]
2 years ago
14

!!!20 POINTS AND BRAINLIEST!!!PLEASE SHOW WORK!!

Mathematics
1 answer:
nekit [7.7K]2 years ago
3 0

The vertical asymptotes are x = 2 and horizontal asymptotes are y = 3 and the parent graph is shifted two to the right and three to the top.

<h3>What is hyperbola?</h3>

It's a two-dimensional geometry curve with two components that are both symmetric. In other words, the number of points in two-dimensional geometry that have a constant difference between them and two fixed points in the plane can be defined.

We have a graph of a hyperbola:

\rm y=\dfrac{\left3x+14\right}{x-2}

The above equation represents the hyperbola.

We can write the above equation as:

\rm y=3+\dfrac{\left20\right}{x-2}

The vertical asymptotes: x = 2

The horizontal asymptotes: y = 3

Thus, the vertical asymptotes are x = 2 and horizontal asymptotes are y = 3 and the parent graph is shifted two to the right and three to the top.

Learn more about the hyperbola here:

brainly.com/question/12919612

#SPJ1

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What is the distance between the points(-5,-1) and (-2,-6) ? Round to the nearest tenth if necessary.
Oksana_A [137]

Answer:

5.8

Step-by-step explanation:

the distance formula is

d =sqrt( (x2-x1)^2 + (y2-y1)^2 )

  = sqrt ( (-5 - -2) ^2 + (-1 - -6)^2 )

  = sqrt( (-5 +2) ^2 + (-1 +6)^2 )

= sqrt( (-3) ^2 + (5)^2 )

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Rounding to the nearest tenth

5.8

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How many leaves on a tree diagram are needed to represent all possible combinations tossing a coin 4 times?
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A married couple wishing to file their taxes jointly, claim their children, as well as medical expenses must file their taxes us
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Write an equation in slope-intercept form of the line that passes through the point (8, 2) and is parallel to the graph of the e
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Answer:

y = 4x - 30

Step-by-step explanation:

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y = mx + b

For y = 4x – 3, m = 4

=====

The other equation passes through (8,2) and has slope 4:

y = 4x +b     Set x = 8, y = 2.

2 = 4×8 + b

2 = 32 + b     Subtract 32 from each side

b= -30

The equation for the second graph is

y = 4x – 30

The graph below shows Equation (1) as a red line.

The graph of Equation 2 is the green line that passes through (8,2), runs parallel to Equation (1), and has a y-intercept at (0,-30.

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