Answer:
Step-by-step explanation:
the bar above 36 means that the digits 36 are being repeated
we require 2 equations with the repeating digits placed after the decimal point.
let x = 0.13636.. ( multiply both sides by 10 and 1000 )
10x = 1.3636... (1)
1000x = 136.3636... (2)
subtract (1) from (2) thus eliminating the repeating digits
990x = 135 ( divide both sides by 990 )
x = 
= ← in simplest form
This is the answer simplified into the most specific terms
Anything to the 0 power is 1
and 1 to the any power is 1
so x can be any number
<h2>
Answer with explanation:</h2>
1)
The vertices of X,Y and Z are:
X(-2, 0), Y(-2, -1), and Z(-5, -2)
Now, when X,Y and Z are translated by using the translation transformation:
(x,y) → (x+6,y-2)
Then we obtain the transformation:
X(-2, 0) → X′(4, -2)
Y(-2, -1) → Y′(4, -3)
Z(-5, -2) → Z′(1, -4)
The type of transformation that triangle XYZ undergoes is a translation transformation by the rule: (x,y) → (x+6,y-2)
2)
Next when we reflect the triangle X'Y'Z' across the x-axis then we obtain X"Y"Z"
Since, the rule that follow on reflecting across x-axis is:
(x,y) → (x,-y)
Hence, we get:
X′(4, -2) → X″(4, 2)
Y′(4, -3) → Y″(4, 3)
Z′(1, -4) → Z″(1, 4)
Hence, the type of transformation that triangle X′Y′Z′ undergoes is a reflection transformation (on reflecting across x-axis)
