Jasmine biked 33 miles last week. Deonte biked 28 miles last week. If Deonte biked the same number of miles the four days he bik
1 answer:
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Answer:
The value of a=6[/tex]
Step-by-step explanation:
<u>step 1:- </u>
<u>col linearity of three points :- </u>
We know that slopes of two parallel lines are equal.If two lines having the same slope pass through a common point ,then two lines will coincide . Hence ,If A,B,C are three points in the X Y- plane, then they will lie on a line,
that is three points are col linear if and only if Slope of AB= slope of BC
<u>step 2:-</u>
Since the given three points are col-linear, we have
Slope of AB= slope of BC
given points are A(2,-2) ,B(-6,2) and C(a,-4)
<u>Step 3 :-</u>
Slope of AB= slope of BC
<u>Complete Question</u>
The positive integers A, B, and C form an arithmetic sequence while the integers B, C, and D form a geometric sequence. If (C/B) = (5/3), what is the smallest possible value of A + B + C + D?
Answer:
52
Step-by-step explanation:
If A, B, and C form an arithmetic progression
Their arithmetic mean,
2B=A+C
C= 2B-A
B, C, D forms a geometric sequence and Common ratio, r=C/B=5/3
The terms in the geometric sequence are:
Therefore:
So:
From arithmetic sequence
Common difference,
These all have to be positive integers so B must be a multiple of 9, The smallest values are if B is 9
A,B,C,D=3,9,15,25
So the smallest possible value for:
A+B+C+D = 3+9+15+25 = 52