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?

The end of the stencil is located at, (9 , 3)

Step-by-step explanation:

Let, the end of the Stencil is located at (x ,y) .

According to the question,

The point (3 , 0) cuts the straight line segment joining (1 , -1) and (x , y) in the ratio 1 : 3 .

So,

⇒x  + 3 = 12

⇒x = 9 (1)

Again,

⇒ y = 3 (2)

So, the end of the stencil is located at, (9, 3)

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step-by-step explanation:

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1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!