Rotations move lines to lines, rays to rays, segments<span> to</span>segments<span>, </span>angles<span> to </span>angles, and parallel lines to parallel lines, similar to translations and reflections. Rotations preservelengths<span> of </span>segments<span> and degrees of measures of </span>angles<span>similar to translations and reflections.</span>
r = -3/4p - 18/5
(or you could put 3.6 or 3 3/5 instead of 18/5)
2 - 3/4p = 5/6r + 5
-5 -5
-3 - 3/4p = 5/6r
/(5/6) /(5/6)
-18/5 - 3/4p = r
-3/4p - 18/5 = r
The perimeter of a rectangle, is all of the sides added up.
In a rectangle, there are two widths (right and left), and two lengths (up and down)
So:
Perimeter = 2 × width + 2 × length.
To get the equation we just substitute in the values that we are given:
length = (x)
width = (x - 4)
perimeter = 87
So just put these values into: perimeter = 2 × width + 2 × length:
87 = 2(x) + 2(x - 4)
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Answer:
The equation is: 87 = 2(x) + 2(x - 4)
<em>(note: this can be simplified down like so:</em>
<em>87 = 2x + 2x - 8</em>
<em>87 = 4x - 8</em>
<em>95 = 4x</em>
23.75 = x
)
To determine which values of x we would use for creating a graph of a parabola, we need to know where the line of symmetry, or the axis of symmetry is. For that we can use the equation:
y=(x-h)+k, where we know h and k.
From this equation we can see that the line of symmetry is passing trough x=h.
And now we can determine which values do we need to add to h and to subtract from h to get values of x to create the table of values to plot a parabola.