Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Discover comprehensive solutions to your questions from a wide network of experts on our user-friendly platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Annie is creating a stencil for her artwork using a coordinate plane. The beginning of the left edge of the stencil falls at (1, −1). She wants to align an important detail on the left edge of her stencil at (3, 0). She knows this is 1:3 of the way to where she wants the end of the stencil. Where is the end of the stencil located?


(1.5, −0.75)

(2.5, −0.25)

(6, 2)

(9, 3)

Sagot :

MrRoyal

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

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.