Complete the coordinate proof for the parallelogram determined by the points A(2,4), B(4,-1), C(-1,-3), D(-3,2).
Prove that ABCD is a rectangle.
BD = /1-3 - 4)2+(2+ 1)2 = 0
AC = /1-1-2)2+(-3-4)2 =
The diagonals (select) congruent, so ABCD (select) va rectangle.

Given f(x) = 2x^2- 5x+1, determine the function value f(2). do not f(x) = in your answer

Simonne used the following steps to simplify the given expression. 12 - 3(-2x + 4) step 1: 12 + (–3)·(–2x) + (–3)·(4) step 2: 12 + 6x + (–12) step 3: 12 + (–12) + 6x step 4: 0 + 6x step 5: 6x what property of real numbers was used to transition from step 3 to step 4? a. identity property of addition b. inverse property of addition c. associative property of addition d. commutative property of addition

You are measuring the dimensions of the floor in your bedroom because you are planning to buy new carpet. which unit of measure is the most appropriate to use in this situation?