Can someone please answer this

-1

Step-by-step explanation:

If k is equal to negative one then we can input it into it for the exponent and solve.

  If  multiplying exponents and they have the same base then you will just add the exponents and let the exponents stay the same.

The exponents are  -3,1, and -1 add them.

-3 + 1 - 1 = -3

The base is 10 so we will raise 10 to the negative 3rd power.

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.

answer: finding the extract measurements and knowing the points

step-by-step explanation: