For what values of y does the following equations have no solutions for x xy+ 5y+4x+20 = 1

y = - 4

collect terms in x

xy + 4x = 1 - 20 = - 19 ( factor out x )

x(y + 4 ) = - 19 ( divide both sides by ( y + 4) )

x =

x will be undefined if the denominator of the fraction is zero

y + 4 = 0 ⇒ y = - 4

x has no solution for y = - 4

step-by-step explanation: h: (- 3, 6)

m: (1, - 2)

o: (7, 6)

r: (- 9, - 2)

midpoint of hm: (- 1, 2)

midpoint of or: (- 1, 2)

therefore, b is the midpoint of both diagonals bisect each other !

to prove the diagonals are perpendicular, show that the product of the slopes = - 1

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq