Answer:
B x= number of adults 480-x = number of adults
Answer:
a) The coordinates of the missing vertex = (7, 8)
b) Area = 18 square units
Perimeter = 18 units
Step-by-step explanation:
a) We know three of the four vertices:
A: (4, 2) C ______ D(?)
B: (7, 2) | |
C: (4, 8) A |______| B
To find the coordinates of the missing vertex we need to calculate the distance in the x-direction from point A to point B:
Hence, the distance of point D from point C in the x-direction is:
Now, to find the coordinate in "y" we need to calculate the distance in the y-direction between point C and point A:
Then, the distance of point D from point B in the y-direction is:

Therefore, the coordinates of the missing vertex (point D) are:
b) The area of the rectangle is:

The perimeter is given by:

I hope it helps you!
Using simultaneous equation,
a=-1, b=1, x=1, y=0
OR
a=1, b=-1, x=1, y=0.
Answer:
You will have $1628.16 per month in discretionary money.
Step-by-step explanation:
In order to find the amount of money you have left for discretionary purposes at the end of the money, you need to calculate the total amount of your monthly pay is going towards expenses and savings. Since there are 12 months in a year, your monthly income is $3072. Of that amount, you spend 32% on housing and 15% on savings, for a total of 47%. The remaining percentage of your income would be considered discretionary, which would account for 53%. To find the amount of money, you take your monthly income and multiply it by 53%, or .53, which gives you $1628.16.