HELP WILL MARK BRAINLIEST PLEASE GIVE EXPLANATION

Step-by-step explanation:

The length of a side can be found using the distance formula:

  d = √((x2 -x1)^2 +(y2 -y2)^2)

For P1P2, this gives ...

  d = √((0-(-2))^2 +(1-(-1))^2) = √(4+4) = √8

  P1P2 = 2√2

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The same ∆x and ∆y apply to P1P3, so we know ...

  P1P3 = 2√2

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The lengths of P1P2 and P1P3 are the same, so the triangle is isosceles.

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The length of P2P3 can be found by subtracting the y-coordinates:

  P2P3 = 1 -(-3)

  P2P3 = 4

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We note that the slope of P1P2 is 2/2 = 1, and the slope of P1P3 is -2/2 = -1. The product of these slopes is (1)(-1) = -1, so we know those lines are perpendicular. The triangle is a right triangle.

(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