A number that is repeated periodically is an irrational number! Error lies in the fact that if we have a decimal value and a string repeat it (at some time) it is an irrational number, that is, it can not be represented as a fraction. It is scientifically proven.
It is a rational number because it can be put into a fraction using ordinary whole numbers.
On the other hand a fraction containing ordinary whole numbers isn't available for pi. Therefore, pi is irrational.
The student's claim that 0.285714 repeating is not a rational number is incorrect because repeating decimals are rational numbers. They can be expressed as a fraction, showing that they meet the definition of rationality. Therefore, 0.285714 repeating can be written as 111 31 , confirming its rational nature.
;
Jawaban:Berikut transformasinya (rotasi 270° berpusat di C(1, 2)):1. Translasi ke pusat: u = x + - 1 . v = y + 2 2. Rotasi 270° (sama dengan 90° searah jarum jam): (u, v) → (v, -u).3. Kembali ke sistem semula:x' = 1 + v = y + 3 , y' = - 2 - u = - x - 1 .Balikkan ke x, y: y = x' - 3 dan x = -y' - 1 substitusi ke y = x^2 - 4x' - 3 = (- y' - 1) ^ 2 - 4 =y^ 2 + 2y - 3 tanda panah x' = y ^ 2 + 2yJadi persamaan bayangannya adalahX = Y ^ 2 + 2Yatau (Y + 1) ^ 2 = X + 1