Find the distance between the x-intercept and the y-intercept of the graph of the equation 5x - 12y = 40 .
+336 Okay so lets start with
x intercept witch is (12, 0)
To find the y intercept, y x = 0 and that
12y = 60
y = 5 ( I think)
y intercept is ( 0, 5)
The distance Would be-
[ ( 12 - 0 )^2 + ( 5 - 0)^2 ] =
[ 12^2 + 5^2] =
[ 144 + 25 ] =
[ 169 ] =
13 units (If you need an more in debt answer feel free to ask)
-wolfie!
+336 Wait I might've done that wrong Im not sure (sorry ive been answering so many people so my brain is gone right now)
+2407 Hi Guest!
The x-intercept is 8, and the y-intercept is -10/3.
I think Wolfie accidentally by 60 instead of 40 when finding them.
x-intercept
x-intercept is when y = 0.
5x - 12(0) = 40
5x = 40
x = 8
y-intercept
The y-intercept is when x = 0.
5(0) - 12x = 40
-12x = 40
x = -40/12
x = -10/3
Distance
We can simply use a^2 + b^2 = c^2 since the x and y intercept form a right angle triangle.
(-10/3)^2 + 8^2 = 676/9
sqrt(676/9) = 26/3.
Answer
26/3
I hope this helped. :)))))
=^._.^=
