Implicit differentiation: 2x+2ydy/dx-6-4dy/dx=0. When dy/dx=0, we have a horizontal tangent.
So 2x-6=0 and x=3. To find y we solve 9+y²-18-4y=-4, y²-4y-5=0=(y-5)(y+1), so the points are (3,5) and (3,-1).
2xdx/dy+2y-6dx/dy-4=0. When dx/dy=0 we have a vertical tangent, so 2y=4, y=2, and x²+4-6x-8=-4, x²-6x=0, x=0 and 6.
The points are (0,2) and (6,2).
1/2 gallon = 64 ounces
3 1/2 pints = 56 ounces
10 3/4 cups = 28.4 ounces
2 1/4 quarts = 72 ounces
so least to greatest:
10 3/4 cups, 48 oz., 3 1/2 pints, 1/2 gallon, 2 1/4 quarts
Karen has more of her drink left
This is because she has 1/6 of her drink left,while Michelle has 2/16, or 1/8 of her drink left.
Since 1/6> 1/8, Karen has more of her drink left
Hope this helps :)
Answer:
False.
Step-by-step explanation:
If M(6, -2) were reflected across the line x = -3, then M' would be (0, -2) making the statement true.
{[5*12]/2}+{[12*25]/2]= 30+150=180m
