My teacher gave me the brain teaser and ive been trying to figure it out can someone she wants me to find 2 answers for it.

write an expression that has a value of 40 using two operations and each of the numbers 1, 2, 3, 4, and 5 exactly once.

more rules for your expression

you can use parentheses or other grouping symbols.
you can make one of your numbers an exponent.
you can use either operation as many times as you like, but you can use each number only one time in the expression.

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.

a variable is any characteristics, number, or quantity that can be measured or counted. a variable may also be called a data item. hope i !