Seudónimo Seudónimo
  • 21-11-2019
  • Mathematics
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Consider the standard form equation 2x-Ry=30. What value of R causes the graph to have a y-intercept of 5?

Consider the standard form equation 2xRy30 What value of R causes the graph to have a yintercept of 5 class=
Consider the standard form equation 2xRy30 What value of R causes the graph to have a yintercept of 5 class=

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SouthernRider
SouthernRider SouthernRider
  • 25-11-2019

Answer:

R = 6

Step-by-step explanation:

Given the equation of the line is 2x - Ry = 30

We know that the equation of a line with a as x-intercept and b as y-intercept is [tex]\frac{x}{a} +\frac{y}{b} =1[/tex]

Now convert the above given line to the standard form

Divide the line by 30 we get

[tex]\frac{2x}{30}-\frac{Ry}{30} =\frac{30}{30}[/tex]

[tex]\frac{x}{15} -\frac{y}{\frac{30}{R} } =1[/tex]

Here the y-intercept is 30/R

Given y-intercept = 5

[tex]\frac{30}{R} =5[/tex]

R = 6

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