P(7,6), Q(1,6), R(4,2)
We have PQ parallel to the x axis. We'll call that the base,
b = 7 - 1 = 6
The altitude is then the y difference h = 6 - 2 = 4
The area is
Answer: 12 square units
In general we can use the shoelace formula for the area of any polygon given coordinates. We write the points like this:
(7,6), (1,6), (4,2)
(1,6), (4,2), (7,6)
The area is then half the absolute value of the sum of the cross products:
Answer:
Step-by-step explanation:
The number of bushels produced is given by:
The owner's income is given by:
Income is given by the price per unit multiplied by the number of units sold. Therefore, the price function can be represented as:
Answer:
The predicted time, in minutes, that it took to gather the items if the order has 22 items is 63.8905 minutes
Step-by-step explanation:
Regression Output :
Predictor Coefficient
Constant 3.0979
Square root of items 2.7633
R.sq.- 96.7%
So, with this data the regression equation is,
Now we are supposed to find the predicted time, in minutes, that it took to gather the items if the order has 22 items
Substitute x =22 in equation
Hence the predicted time, in minutes, that it took to gather the items if the order has 22 items is 63.8905 minutes
I assume the first equation is supposed to be
and not
As an augmented matrix, this system is given by
Multiply through row 3 by 1/2:
Add -1(row 2) to row 3:
Multiply through row 3 by 1/5:
Add -2(row 3) to row 1, and add 3(row 3) to row 2:
Add -3(row 2) to row 1:
Multiply through row 1 by -1:
Add -2(row 1) to row 2:
Multipy through row 2 by -1:
The solution to the system is then