Find the coordinates of the vertices of each figure after the given transformation. 1) translation: (x, y) = (1 + 1, y - 5)
D(2.0), E(1.2), F(2.3). G(4,2)
A) D(-1, 1), E(-2, 3), F(-1,4), G(1,3) B) D(-4,-1), E(-5, 1), F(-4,2), G(-2, 1)
C) D(3,-5), E(2, -3), F(3,-2), G(5,-3) D) D(-4,1), E(-5,3), F(-4,4), G(-2,3)
ОА
О.
B
С
O
O
D

the answer is (4,3)

since the rule for r0, 90º is (-y,x) and it was already applied to form the image, all you have to do is reverse the answer using this formula.

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}