If s(x) = 2 – x2 and t(x) = 3x, which value is equivalent to ( s*)

-439

(s o t)(x)=s(t(x))

(s o t)(-7)=s(t(-7))

x=-7→t(-7)=3(-7)→t(-7)=-21

(s o t)(-7)=s(t(-7))=s(-21)

x=-21→s(-21)=2-(-21)^2=2-441→s(-21)=-439

(s o t)(-7)=s(t(-7))=s(-21)=-439

-439

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.

sum= when you add is how much the whole amount is

distance= when you use angles and it means how far it goes

step-by-step explanation: