The general form of the line is, 12x + 2y - 17 = 0.
What is general form?
The formula ax + by + c = 0 is one of the numerous formats in which linear functions can be expressed. The slope intercept form y = mx + b and slope-point form are two more examples.
Consider, the given equation of line
Multiply both sides by 6, we get
Subtract 12 on both sides,
12x + 2y - 5 - 12 = 0
12x + 2y - 17 = 0
This is the general form of equation of line where there are no fractions and the coefficient of x is positive.
Hence, the required equation is, 12x + 2y - 17 = 0.
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From the equation we have :
-3x-5y=-15-3x-3y <=> -5y = -15-3y<=> 15= 5y-3y <=> 2y= 15 <=> y=15/2
We also have:
-3x-5y =-3. Given y= 15/2 => -3x -5(15/2)=-3 <=> -3x = -3x +5(15/2) = 34.5 <=> x = 34.5/3 =23/2 = 11.5
Answer:
-1 < x < 7 (Line under < for both)
a = 4 first term, r = ?, T10 = 100.
Tn = ar^n - 1 formula for g.p
T10 = 4r^ 10 - 1
100 = 4r^9
Divide both side by 4
100/4 = 4/4r^9
25 = r^9 take the 9th root of both side
9√25 = 9√r^9
r = 9√25
To find the nth term
Since Tn = ar^n - 1