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3 years ago

Write an equation of the line passing through the point A(8, 2) that is perpendicular to the line y = 4x−7.

Mathematics

1 answer:

Kay [80]3 years ago

4 0

Answer:

y = - 1/4 + 4

Step-by-step explanation:

y = 4x - 7

Slope = 4

Slope of the perpendicular line = -1/4

Point (8,2)

(b) y-intercept: 2 - (-1/4)(8)

= 2 + 2 = 4

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What are the values of x in the equation shown<br> 2|3x-4|=20

ipn [44]

Answer:14/3

Step-by-step explanation:

2(3x-4)=20

Divide both sides by2

2(3x-4)/2=20/2

3x-4=10

Add 4 to both sides

3x-4+4=10+4

3x=14

Divide both sides by 3

3x/3=14/3

x=14/3

6 0

3 years ago

Read 2 more answers

Line L passes through point (2, -5) and is perpendicular to the line with equation y = 7. Determine the equation of line L.

Wittaler [7]

<h3>Answer:</h3>

A) x = 2

<h3>Explanation:</h3>

<em>Try the answers</em>

Of the offered choices, the only ones that go through the given point are ...

... x = 2

... y = -5

The latter is horizontal and parallel to y = 7, so is not the choice you want. The appropriate choice is ...

... A) x = 2

_____

<em>Figure out the answer</em>

The given line is horizontal, so the line you want is vertical—of the form ...

... x = constant

The constant must be chosen so the line will go through a point with x=2. It should be obvious that the constant must be 2.

... x = 2 is perpendicular to y = 7 and goes through (2, -5).

8 0

3 years ago

Give an example of a rational function that has a horizontal asymptote of y = 2/9..

Ann [662]

The horizontal asymptote of a rational function tells us the limiting value of that function as it approaches infinity.

For a rational function to have a horizontal asymptote of
$\frac{2}{9}$
then, $the highest degree of x in the numerator must be equal to the highest degree of x in the denominator.$

The second condition is that,
$the coefficient of the highest degree in the numerator and the coefficient of the highest degree in the denominator should be in the ratio 2:9.$

Example are given in the graph above.

Here are some other examples,

$y = \frac{2x - 1}{9x + 2}$

$y = \frac{1 - 6 {x}^{3} }{5x - 27 {x}^{3} }$