Answer:
arithmetic sequence: 24, 42, 66, 90, 114; y = 24x - 30
geometric sequence: -54, 162, -486, 1458, -4374; y = -6(-3)^(x - 1)
Step-by-step explanation:
Arithmetic sequence:
-6, 18, ...
18 - (-6) = 24
18 + 24 = 42
42 + 24 = 66
66 + 24 = 90
90 + 24 = 114
y = -6 + 24(x - 1)
y = -6 + 24x - 24
y = 24x - 30
Geometric sequence:
-6, 18, ...
18/(-6) = -3
18 * (-3) = -54
-54 * (-3) = 162
162 * (-3) = -486
-486 * (-3) = 1458
1458 * (-3) = -4374
y = -6(-3)^(x - 1)
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Answer:
Result:
Step-by-step explanation:
Given
The parallelogram DEFG
DE = 6x-12
FG = 2x+36
EF = 4y
DG = 6y-42
We know that the opposite sides of a parallelogram are equal.
As DE and FG are opposite sides, so
DE = FG
substituting DE = 6x-12 and FG = 2x+36 in the equation
6x-12 = 2x+36
6x-2x = 36+12
simplifying
4x = 48
dividing both sides by 4
4x/4 = 48/4
x = 12
Therefore,
The value of x = 12
Also, EF and DG are opposite sides, so
EF = DG
substituting EF = 4y and DG = 6y-42 in the equation
4y = 6y-42
switching sides
6y-42 = 4y
6y-4y = 42
2y = 42
dividing both sides by 2
2y/2 = 42/2
y = 21
Therefore,
The value of y = 21
Result:
Answer:
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Step-by-step explanation:
