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Find the distance between the x-intercept and the y-intercept of the graph of the equation 3x - 7y = 21 + 2x - 5y.

 Jun 27, 2022
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3x - 7y  = 21 + 2x - 5y   rearrange as

 

x - 2y  = 21

 

x intercept....   let y  = 0

 

x =21 =  x intercept

 

y intercept......let x = 0

 

0 - 2y = 21

 

-2y = 21

 

y = -21/2  =  -10.5

 

Distance between intercepts =  sqrt [ (21)^2 + (-10.5)^2 ]  ≈  23.48 units

 

cool cool cool 

 Jun 28, 2022

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