Write x2 + y2 – 18x + 8y + 5 = 0 in standard form. Group terms and move the constant to the other side of the equation. x2 – 18x + y2 + 8y = –5 Determine the values that need to be added to both sides of the equation. (–18 ÷ 2)2 = 81 and (8 ÷ 2)2 = 16 Add the values to both sides of the equation. Write each trinomial as a binomial squared, and simplify the right side. What is the standard form of the equation of a circle given by x2 + y2 – 18x + 8y + 5 = 0? ()² + ()² =

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.

i can you, i love poetry

(x+3)(x+7)

step-by-step explanation:

step-by-step explanation: