It should be (X,Y)=(15/8,-25/4)
Answer: r = 2/3
Step-by-step explanation:
In a geometric sequence, the consecutive terms differ by a common ratio. The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the information given,
a = 36
The 4th term is 32/3
n = 4
Therefore,
T4 = 32/3 = 36 × r^(4 - 1)
32/3 = 36 × r^3
Dividing both sides if the equation by 36, it becomes
32/3 × 1/36 = r^3
8/27 = r^3
Taking cube root of both sides of the equation, it becomes
(8/27)^1/3 = r^3 × 1/3
r = 2/3
The coordinates of point P are (-3 , -6)
Step-by-step explanation:
If point (x , y) partitions line AB where A = and B =
at a ratio from A then:
1.
2.
∵ P partitions AB in the ratio 3 : 4
∴ = 3 : 4
∵ A = (-9 , -9) and B = (5 , -2)
- Substitute the coordinates of points A and B in the rules above
∵
∴
∴
∴ x = -3
The x-coordinate of P is -3
∵
∴
∴
∴ y = -6
The y-coordinate of P is -6
The coordinates of point P are (-3 , -6)
Learn more:
You can learn more about the mid-point of a segment in brainly.com/question/5223123
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2/10 because the numerator sequence is 321321....
And the denominator sequence is 10 5 2 5 10...
Answer:
20
Step-by-step explanation:
Berthas dive is 5 times deeper than vernons dive and bertha dived 100ft so
100/5
=20