Answer:
y = -1/3x + 2
Step-by-step explanation:
The slopes of perpendicular lines are negative reciprocals.
The line y = 3x - 2 has slope 3.
The perpendicular line has slope -1/3.
Now we find the equation of the line that has slope -1/3 and passes through (-9, 5).
y = mx + b
y = -1/3x + b
5 = (-1/3)(-9) + b
5 = 3 + b
b = 2
The equation of the perpendicular is
y = -1/3x + 2
Answer:
(11.4 - 22.8) / (26 - 7)
-11.4 / 19 this is the rate at which it burns - the slope
h = (-11.4/19)t + b
22.8 = (-11.4/19)7 + b
22.8 = (-79.8/19) + b
22.8 = -4.2 + b
27 = b
h = (-11.4/19)t + 27
Substitute 15 for t to determine the height of the candle.
The correct answer is: [A]: " <span>x(y – 5) = 2 " .
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Consider:
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Choice: [A]: " x(y–5) = 2 " ;
Divide each side by "x" ;
" [x(y – 5)] / x = 2/x " ;
→ y – 5 = 2/x ;
Add "5" to each side of the equation:
y – 5 + 5 = 2/x + 5 ;
→ y = 2/x + 5 ; not a line; since one cannot divide by "zero" ; there would be no "point" on the graph at "x = 0". So, this answer choice: [A] is correct.
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Choice [B]:
y -2x -18 = 0
y - 2x = 18
y = 18 + 2x ; y = 2x + 18 ; is a line.
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Choice C) 3y + 12 - 6x = 5 ;
3y = 5 - 12 + 6x ;
3y = -7 + 6x ; 3y = 6x - 7 ; y = 6x/3 - 7/3 ; y = 2x - 7/3 ; is a line.
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Choice: [D]:
2(y+x) = 0 ;
[2*(y+x)] / 2 = 0/2 ; y + x = 0 ; y = -x ; is a line.
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