9514 1404 393
Answer:
y = -2
Step-by-step explanation:
The given line is a vertical line, so a perpendicular line will be a horizontal line. It will have an equation of the form ...
y = constant
In order for the line to go through the given point, the constant in the equation must be the same as the y-coordinate of the point: -2.
Your perpendicular line is ...
y = -2
When you say "at the same ratio", you mean that you consume the same amount of gas for the same amount of miles.
We know that everytime you drive 75 miles, you use 3 gallons of gas.
Since 12 gallons of gas is four times 3 gallons of gas, if the ratio remains the same, you can drive four times the distance:
You drive 75 miles, and use 3 gallons.
You drive 75 more miles (so you are at miles) and use 3 more gallons, so you use
gallons.
You drive 75 more miles (so you are at miles) and use 3 more gallons, so you use
gallons.
You drive 75 more miles (so you are at miles) and use 3 more gallons, so you use
gallons, and you're done.
Answer:
The approximate volume of a stack of 40 nickels is 25132.741 cubic milimeters.
Step-by-step explanation:
A nickel can be modelled by the formula of a right cylinder, the approximate volume of the stack of nickels (), measured in cubic milimeters, is the product of the number of elements (
), no unit, and the volume of each element (
), measured in cubic milimeters. That is:
(1)
By volume equation of right cylinder, we have the following formula:
(2)
Where:
- Amount of nickels, no unit.
- Diameter of nickel, measured in milimeters.
- Thickness of nickel, measured in milimeters.
If we know that ,
and
, then the net volume of the stack of nickels is:
The approximate volume of a stack of 40 nickels is 25132.741 cubic milimeters.