Ineed on how to solve ( x2-5x-12) ÷ (x+3)

x - 8 +

Step-by-step explanation:

One way to do the division is to use the divisor as a factor in the numerator

Consider the numerator

x(x + 3) - 3x - 5x - 12

= x(x + 3) - 8(x + 3) + 24 - 12

= x(x + 3) - 8(x + 3) + 12

quotient = x - 8 and remainder = 12

= x - 8 +

histogram or dot plot?

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.