Which equation is the inverse of 2(x - 2)2 = 8(7 + y)?

Slope = 1.000/2.000 = 0.500

 x-intercept = 16/1 = 16.00000

 y-intercept = 16/-2 = 8/-1 = -8.00000

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 ((2 • (x - 2)) • 2) -  8 • (y + 7)  = 0

Step  2  :

Equation at the end of step  2  :

 (2 • (x - 2) • 2) -  8 • (y + 7)  = 0

Step  3  :

Equation at the end of step  3  :

 4 • (x - 2) -  8 • (y + 7)  = 0

Step  4  :

Step  5  :

Pulling out like terms :

5.1     Pull out like factors :

  4x - 8y - 64  =   4 • (x - 2y - 16)

Equation at the end of step  5  :

 4 • (x - 2y - 16)  = 0

Step  6  :

Equations which are never true :

6.1      Solve :    4   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

6.2     Solve   x-2y-16  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  x-2y-16  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 8/-1 so this line "cuts" the y axis at y=-8.00000

 y-intercept = 16/-2 = 8/-1  = -8.00000

Calculate the X-Intercept :

When y = 0 the value of x is 16/1 Our line therefore "cuts" the x axis at x=16.00000

 x-intercept = 16/1  = 16.00000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -8.000 and for x=2.000, the value of y is -7.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -7.000 - (-8.000) = 1.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  1.000/2.000 =  0.500

Geometric figure: Straight Line

 Slope = 1.000/2.000 = 0.500

 x-intercept = 16/1 = 16.00000

 y-intercept = 16/-2 = 8/-1 = -8.00000

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step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights