That perpendicular line will have slope , negative reciprocal to the slope of this line:
x +9y - 2 = 0 and its slop is - 1/9 { 9y = - x - 2 → y = (-1/9 )x - 2/9 }
So the slope of the perpendicular line will be ? 9
There fore the equation of the perpendicular line : y = 9x + b
“b” to be found by using other conditions
x intercept for this line ( put y = 0 ): -b/9
x intercept for 2x - 9y + 27 = 0 ( put y = 0) : - 27/2
Just equate the two: -b/9 = -27/2 → b = 243/2
y = 9x + 243/2
Choice D X intercept = Y intercept
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Answer:
X=10, Y=20,Z=80
Step-by-step explanation:
We are given that the numbers X,Y and Z are in the ratio 1:2:8
Let the numbers be:
X=x
Y=2x
Z=8x
Now we are given that 40 is subtracted from Z such that the numbers X,Y,Z-40 form a geometric sequence.
that means x,2x,8x-40 forms a geometric sequence.
Also if a,b,c are in geometric progression then they have same common ratio.
i.e.
Hence, the number X =10
Y=2×10=20
Z=8×10=80