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Mrac [35]
3 years ago
7

How to draw a locus of point D

Mathematics
1 answer:
allsm [11]3 years ago
4 0
 To draw a locus point you have to draw<span> the half way line through the two </span>points. You can do this by drawing<span> the line bisector through AB points. Just open your compass to ¾ of the distance AB and then </span>draw<span> two arcs from both sides of your line. Once this is done </span>draw the line passing through the two intersection points<span>.

Hope this helps :)</span>
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Find the first term and common difference of an AP, whose 7th term is 29/6 and 15th term is 11/2.​
777dan777 [17]

Answer:

The first term is 13/3 and the common difference is d = 1/12

The formula is a(n) = 13/3 + (1/12)(n - 1)        

Step-by-step explanation:

The general equation for an arithmetic progression is:

a(n) = a(1) + d(n - 1), where d is the common difference/

Case 1:  n = 7:  29/6 = a(1) + d(7 - 1), or 29/6 = a(1) + d(6)

Case 2:  n = 15:  11/2 = a(1) + d(15 - 1) =  a(1) + d(14)

Then our system of linear equations is:

a(1) + 6d = 29/6

a(1) + 14d = 11/2

Let's solve this by elimination by addition and subtraction.  Subtract the first equation from the second.  We get:

                                                             

Substituting 1/12 for d in the first equation, we get:

a(1) + 14(1/12) = 11/2 or 66/12 (using the LCD 12)

Then a(1) = 66/12 - 14/12 = 52/12 = 13/3

The first term is 13/3 and the common difference is d = 1/12

The arithmetic sequence formula for this problem is thus:

a(n) = 13/3 + (1/12)(n - 1)                                                                          8

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Step-by-step explanation:

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