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Liula [17]
3 years ago
9

Can someone please help

Mathematics
1 answer:
Gala2k [10]3 years ago
8 0

Answer:

\sqrt{160}

Step-by-step explanation:

Te equation of line is:

y = 3x + 12

Plug x = 0 in the above equation of line, we find:

y = 3*0 + 12

y = 0 + 12

y = 12

y-intercept = (0, 12)

Plug y = 0 in the equation y = 3x + 12

0 = 3x + 12

-3x = 12

x = 12/(-3)

x = - 4

x-intercept = (-4, 0)

Distance between x-intercept and y--intercept

=  \sqrt{ {( - 4 - 0)}^{2} +  {(0 - 12)}^{2}  }  \\  \\  =  \sqrt{ {( - 4 )}^{2} +  {(- 12)}^{2}  }  \\  \\  =  \sqrt{16 + 144}  \\  \\  =  \sqrt{160}

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