Take half of the coefficient on the x term
Answer:
see in the graph, the circle has: the centre I(3; -2)
r = 3
=> the equation: (x - 3)² + (y + 2)² = 9
Answer:
Step-by-step explanation:
Given
Required
Find the height
The volume is calculated as thus:
This gives
Apply difference of two squares
Subtract 15 from both sides
Using a calculator to factorize, we have:
Split
or 
or
x has complex roots for
Hence:
Recall that:
Answer: 153 trays
Step-by-step explanation:
hotdogs =153
Hamburger = 171
Mike is to put the same number of hamburger and hotdogs in each plate.
we assume that a whole number of each food is placed in each tray.
The maximum amount of trays will be determined by the minimum food which is hotdog, so, the hotdog is the constraint.
Mike will have to use 153 trays.
So there are 2 things you need to convert, the first is the gallons to cups and the second is the hours to minutes. so I like to set it up with numerators and denominators and then multiply the ratios. All same terms will cross out and be opposite of each other.
(18 gal/1 hour) x (1 hour / 60 minutes), now we have (0.3 gallons/1 minute) we just have to change gallons to cups
(0.3 gallons/ 1 minute) x (4 quarts/1 gallon) x (2 pints/1 quart) x (2 cups/1 pint)
this comes out 4.8 cups/1 minute
