He would be 10 miles away from his home. If you draw out the figure, you will get a triangle with bases 6 and 8. Using the Pythagorean theorem, you get 6 squared plus 8 squared equals the distance squared. That’s 36+64=100, square root of that is 10 which is your answer :)
Answer:
d = 9
Step-by-step explanation:
Calculate the slope m of line AB and equate the result to 3
m = 
with (x₁, y₁ ) = A(4, 6) and (x₂, y₂ ) = B(d, 21)
m =
=
= 3 ( multiply both sides by d - 4 )
15 = 3(d - 4), that is
15 = 3d - 12 ( add 12 to both sides )
27 = 3d ( divide both sides by 3 )
9 = d
I think it is the first one