What is the 5th term in the sequence 64, 16, 4 ?
2 answers:
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Answer:
9 units²
Step-by-step explanation:
calculate the area of Δ ABC as
area of rectangle - area of 3 outer right triangles
area of rectangle = 5 × 4 = 20 units²
area of left Δ = × 3 × 3 = 4
units²
area of Δ on right = × 2 × 4 = 4 units²
area of top Δ = × 5 × 1 = 2
units²
Then
area of Δ ABC = 20 - 4 - 4 - 2
= 20 - 11 = 9 units²
The transformation (x,y) --> (x,-y) is reflection over x axis. while the x coordinates in the image stay the same as the original, y coordinates change the sign.
Therefore coordinates of original image and final image after reflection
E - (0,3) --> E' (0,-3)
F - (2,2) --> F' (2,-2)
G - (1,1) --> G' (1,-1)
The diagram attached shows both the original image and image after reflection
Therefore coordinates of original image and final image after reflection
E - (0,3) --> E' (0,-3)
F - (2,2) --> F' (2,-2)
G - (1,1) --> G' (1,-1)
The diagram attached shows both the original image and image after reflection