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Sagot :
Answer:
(9,3)
Step-by-step explanation:
Represent the beginning with B
[tex]B(x_1,y_1)=(1,-1)[/tex]
Represent the alignment point with C
[tex]C(x,y) = (3,0)[/tex]
At C, we have:
[tex]m:n = 1:3[/tex]
Required
Determine the end of the stencil
To do this, we make use of the following line partition formula;
[tex]C(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2+ ny_1}{m+n})[/tex]
Substitute values
[tex](3,0) = (\frac{1*x_2 + 3*1}{1+3},\frac{1*y_2+ 3*-1}{1+3})[/tex]
[tex](3,0) = (\frac{x_2 + 3}{4},\frac{y_2- 3}{4})[/tex]
Multiply through by 4
[tex]4*(3,0) = (\frac{x_2 + 3}{4},\frac{y_2- 3}{4})*4[/tex]
[tex](12,0) = (x_2 + 3,y_2- 3)[/tex]
By comparison:
[tex]x_2 +3 = 12\\[/tex]
[tex]x_2= 9[/tex]
and
[tex]y_2 - 3 = 0[/tex]
[tex]y_2 = 3[/tex]
So, the coordinates are: (9,3)
Answer:the person above me is correct it is (9,3)
Step-by-step explanation:
I took the test and this was my answer
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