A triangle has the coordinates of A(-2,2) B(3,6) and C(1,-2).What will be the new coordinates of vertex B if the triangle is dialated by a scale factor of 1\3

(1, 2)

Step-by-step explanation:

If a coordinate (x, y) is dilated by a factor of k, the resulting coordinate will be (kx, ky)

Given the  vertex B of the coordinate triangle as (3, 6), if dilated by a factor of 1/3, the resulting coordinate will be (1/3(3), 1/3(6))

B' = (1/3(3), 1/3(6))

B' = (1, 2)

Hence the resulting coordinate will be (1,2)

it's

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3