12y = x + 23
Step-by-step explanation:
- y = −12x + 5
- Perpendicular slopes are opposite reciprocals.
- The original slope is −12
- So the new perpendicular slope is 1/12.
- We plug the point (1, 2) and the slope m = 1/12 into the slope intercept form of the equation y = mx + b
y = mx + b
2 = 1/12 * 1 + b
2 = 1/12 + b
b = 23/12
- When we simplify this, we arrive at 12y = x + 23
Hope this helps!
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<span>lets solve for x, and then we'll find an integer solution:
3x + 4y = 24
3x = 24 - 4y
</span><span>x = (24 - 4y)/3
</span>so the right side has to be an integer, or 24 - 4y has to be a multiple of 3:
<span>24 - 4y
</span>then, y has to be 3, see:
<span>x = (24 - 4y)/3
</span><span>x = (24 - 4(3))/3
</span><span>x = (24 - 12)/3
</span><span>x = (12)/3
</span>x = 4
then, we have x = 4 and y = 3
20+4x. Multiply the 4 by the 5 and bring the sign over. Do same for x
Answer:
If y = sin(4x)
y' = 4cos(4x)
Step-by-step explanation:
lim [ f'(x) = f(x+h) - f(x) / h ]
h → 0
sin'(x) = sin(x+ε) - sin(x) / ε
