The coordinates of two of the vertices of square QRST are shown.

Q (3.6,2.1)

R (¯5.4,2.1)

What is the length, in units, of each side of square QRST? Use the coordinates to show or explain how you determined the length.

Enter your answer and your work or explanation in the space provided.

Therefore the length of each side of square is .

Step-by-step explanation:

Given that,

                is a square.

                The coordinate of point is .

                The coordinate of point is .

Let, The coordinate of point is and the coordinate of point is .

Diagram of the square is shown below:

Now,

                         [Distance Formula]

Therefore the length of square is

                    [, because is a square]

⇒

squaring both sides, we get

⇒

⇒ ±

∴

The coordinate of point is and the coordinate of point is .

∵ is a square

∴  

Therefore the length of each side of square is .

(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

9

step-by-step explanation: