2- Soit z = x + iy où (x; y) E IR2. Z - 1
On pose Z = avec z # -1
Z +1
1. Montrer que Z a pour forme algébrique :
x2 + y2 – 1
2y
Z =
+i
(x + 1)2 + y2 (x + 1)2 + y2
2. Quel est l'ensemble des points M(z) tels que Z est :
a. Réel.
b. Imaginaire pur.

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Agroup of students want to create a garden. they do not know the exact measurements but they propose using a variable to represent the length and width of the garden. the length of the garden is 10 feet longer than double the width. use a single variable to write algebraic expressions for both the length and width of the garden. write an algebraic expression for the area of the garden. use mathematical terms to describe this expression.

Three people are traveling and need to exchange the currency of their native country for the currency of the country they are visiting. drag each exchange to the category that shows the ratio of currencies in that exchange.