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# help:(

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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

#2
+106519
+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

Jan 8, 2020

#1
0

The distance between the intercepts is 17.

Jan 8, 2020
#2
+106519
+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

CPhill Jan 8, 2020