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)
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You can learn more about the mid-point of a segment in brainly.com/question/5223123
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Answer: the number of adult tickets is 210
The number if student tickets is 270
Step-by-step explanation:
Let x represent the number of adult tickets that were purchased.
Let y represent the number of student tickets that were purchased.
At the ritz, concert tickets for adults cost $6 and tickets for students cost $4. If the cost of total tickets purchased is $2340, then,
6x + 4y = 2340 - - - - - - - -1
Total number of tickets purchased is 480. This means that
x + y = 480
x = 480 - y
Substituting x = 480 - y into equation 1, it becomes
6(480 - y) + 4y = 2340
2880 - 6y + 4y = 2340
- 6y + 4y = 2340 - 2880
-2y = - 540
y = - 540/-2 = 270
x = 480 - 270
x = 210
Answer:2349.91
Step-by-step explanation:
A=2πrh+2πr2=2·π·11·23+2·π·112≈2349.9113
Genevieve is correct. This is because if you only want to find a particular term of a sequence like in this word problem only the 376th term; the explicit definition will be more useful and quick. Recursive requires the previous numbers to find the next term and will take longer time to find the 376th term.
Answer:ok let try this one more time the volume is 1526.04 cm3
and the total surface area is 763.02 cm2
Step-by-step explanation:
