Answer:
x=1
Step-by-step explanation:
if it is truly 9^(x-1)=27^(x-1), then you dont really need to use the quadratic fromula.
You are looking for the shaded region that would be contained in both of the inequalities.
You have:


If you graph an shade the correct half-plane for those equations, you will see there is a triangular region on the left side of the first quadrant.
Answer: 119.545454545
Step-by-step explanation:
5 goes into both 35 and 100. But there are unlimited answers if you are being asked to find more than whole integers.
<h3>
Answer: Perpendicular</h3>
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Work Shown:
Solve the first equation for y
3x+7y = 15
7y = -3x+15
y = (-3x+15)/7
y = (-3/7)x + 15/7
The slope here is -3/7
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Solve the second equation for y
7x-3y = 6
-3y = -7x+6
y = (-7x+6)/(-3)
y = (7/3)x - 2
The slope here is 7/3
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The slopes -3/7 and 7/3 are not equal, so we don't have parallel lines.
The lines however are perpendicular because the slopes multiply to -1
(-3/7)(7/3) = (-3*7)/(7*3) = -21/21 = -1