Answer:
D) 2x<u>2</u>
Step-by-step explanation:
i got i right on the test
The answer is: x = -1, y = +4
Answer:
3 cm
Step-by-step explanation:
The ratio of areas of similar figures is the square of the ratio of linear dimensions. That means the ratio of linear dimensions is the square root of the area ratio. The ratio of the smaller triangle dimensions to the larger is then ...
k = √((8 cm^2)/(18 cm^2)) = √(4/9) = 2/3
Then the corresponding side of the smaller triangle is ...
... k · (4.5 cm) = (2/3)·(4.5 cm) = 3 cm
Answer:
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Step-by-step explanation:
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Answer:
b1 = 2 ; r = 3
Step-by-step explanation:
Given that :
if b3 −b1 = 16 and b5 −b3 = 144.
For a geometric series :
Ist term = a
Second term = ar
3rd term = ar^2
4th term = ar^3
5th term = ar^4 ;...
If b3 - b1 = 16;
ar^2 - a = 16
a(r^2 - 1) = 16 - - - (1)
b5 - b3 = 144
ar^4 - ar^2 = 144
ar^2(r^2 - 1) = 144 - - - - (2)
Divide (1) by (2)
a(r^2 - 1) / ar^2(r^2 - 1) = 16 /144
a / ar^2 = 1 / 9
ar^2 = 9a
Substitute for a in ar^2 - a = 16
9a - a = 16
8a = 16
a = 2
From ar^2 - a = 16
2r^2 - 2 = 16
2r^2 = 16 + 2
2r^2 = 18
r^2 = 18 / 2
r^2 = 9
r = √9
r = 3
Hence ;
a = b1 = 2 ; r = 3
