Answer:
x = 3 ±
Step-by-step explanation:
x² - 6x - 4 = 0 ( add 4 to both sides )
x² - 6x = 4
To complete the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(- 3)x + 9 = 4 + 9
(x - 3)² = 13 ( take square root of both sides )
x - 3 = ± ( add 3 to both sides )
x = 3 ±
Answer:
Red triangle on the diagram
Step-by-step explanation:
The center of dilation is point D(-5,1). The scale factor is 1/2. This means that all distances need to be halved.
If triangle ABC has vertices A(-1,7), B(7,9) and C(3,1), then the image triangle has vertices at points E(-3,4), G(1,5) and F(-1,1).
Points E, G and F are midpoints of the segments DA, DB and DC (see attached diagram for details).
