An equation is shown below:

(4x - 1) + (2x + 2) = 1

which statement shows a correct next step in solving the equation?

the equation can become 6x + 1 = 1 by combining like terms.

the equation can become 3x + 4x = 1 by solving the terms in the brackets.

the equation can become 3x + 4x = 1 by applying the associative property of multiplication.

the equation can become 6x + 1 = 1 by applying the distributive property.

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

show us the picture

step-by-step explanation:

show the !