I'm having trouble finding out how to add numbers with exponents. i'd appreciate it if you could me out. here's the question: )

4w^2+w^2

Step-by-step explanation:

Step 1: The given expression is .

Step 2: Let us first know the law of exponents to add two exponents.

The base and the exponents must be the same to add two exponents.

Here base is w and the exponent is 2. They are same.

Step 3: Now add the coefficient of .

Hence the addition of the expression .

answer: 12

step-by-step explanation:

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.