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Find the distance between the x-intercept and the y-intercept of the graph of the equation 5x-12y=60.

 Jan 8, 2020

Best Answer 

 #2
avatar+107105 
+1

To find the x intercept, set  y  =  0   and we have that

 

5x  = 60

x  =12

 

So.....the x intercept  is  (12, 0)

 

To  find the  y intercept, ley  x  = 0 and  we have that

 

12y  = 60

y = 5

 

So.....the  y intercept is  ( 0, 5)

 

The distance between these  = 

 

sqrt  [ ( 12 - 0 )^2  + ( 5 - 0)^2 ]  =

 

sqrt [ 12^2 + 5^2]  =

 

sqrt [ 144 + 25 ]  =

 

sqrt [ 169  ]  = 

 

13 units

 

cool cool cool

 Jan 8, 2020
 #1
avatar
0

The distance between the intercepts is 17.

 Jan 8, 2020
 #2
avatar+107105 
+1
Best Answer

To find the x intercept, set  y  =  0   and we have that

 

5x  = 60

x  =12

 

So.....the x intercept  is  (12, 0)

 

To  find the  y intercept, ley  x  = 0 and  we have that

 

12y  = 60

y = 5

 

So.....the  y intercept is  ( 0, 5)

 

The distance between these  = 

 

sqrt  [ ( 12 - 0 )^2  + ( 5 - 0)^2 ]  =

 

sqrt [ 12^2 + 5^2]  =

 

sqrt [ 144 + 25 ]  =

 

sqrt [ 169  ]  = 

 

13 units

 

cool cool cool

CPhill Jan 8, 2020

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