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Mathematics, 30.03.2021 21:10 taykola

Select the points that are solutions to the system of inequalities. Select all that apply
101
A. (-2,0)
B. (2, 4)
C. (10.-1)
D. (0, -10)


Select the points that are solutions to the system of inequalities. Select all

that apply
101
A.

Answers

ansver
Answer from: Quest

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.

ansver
Answer from: Quest

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step-by-step explanation:

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Answer from: Quest

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ansver
Answer from: Quest

the answer to question 1 is -8, 28.

step-by-step explanation:

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Select the points that are solutions to the system of inequalities. Select all that apply
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