Which of the following is the missing reason?
statements reasons
2/3x+7=-5 given
2x + 21 = -15 multiplication property of equality
2x = -36 subtraction property of equality
x=-18 ?
division property of equality
distributive property
addition property of equality
subtraction property of equality

Division Property of Equality

Step-by-step explanation:

from the second from last step, we have

2x = -36

if we divide both sides of the equation equally by 2, we get

(2x ) / 2 = (-36) / 2

x = -18 ..., which is exactly the last step that is given in the question

hence in order to get to the last step, we divide both sides of the equality by 2 (a non-zero number).

AKA  "Division Property of Equality"

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

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step-by-step explanation:

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