The acceleration of an object falling through the air will decrease at a rate of 15% per second due
1 answer:
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Answer:
X-5Y-4Z+12=0
Step-by-step explanation:
Plan P1 = 3x-y+2z=1. with A=(1,1,2); B=(2,2,1); we must will find V1 from P1,
V1 =(3,-1,2) and AB = (2-1,2-1,1-2) = (1,1,-1) now we find V2 by vector product.
V2 =V1.X,AB =; (aplying sarrus method)
according to general plan formula a(X-Xo)+b(Y-Yo)+c(Z-Zo); V=(a,b,c)
V2=(-1,5,4) ; A=(1,1,2); so -(X-1)+5(Y-1)+4(z-2)=0 → -X+1+5Y-5+4Z-8=0 →
-X+5Y+4Z+1-5-8=0 → -X+5Y+4Z-12=0 (-1) → Plan equation X-5Y-4Z+12=0
<u>QUESTION 1</u>
The given sequence is .
The first term of the sequence is
The second term is
The common ratio can be found using any two consecutive terms of the sequence.
Thus, the common ratio is given by .
This implies that,
This simplifies to,
The correct answer is C
<u>QUESTION 2</u>
The sum of the first n terms of a geometric sequence is given by;
.
Since we are looking for the first five terms, we substitute ,
and
into the formula to obtain,
This will evaluate to give us;
The correct answer is A