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:
The graph is constant in the interval [4,6]
Step-by-step explanation:
We are given that,
Taylor dropped a rubber ball from a height of 8 feet.
So, at time t= 0 sec, the ball is being thrown.
Now, the next events follows as below:
1. After a second, the ball hits the ground.
2. It bounces up to 5 feet in the next second.
3. The ball again hits the ground in the next second.
4. Now, the ball again jumps up to height 2.5 feet, when Taylor holds the ball for 2 seconds more.
So, we get the figure given below, we see that,
The graph is constant in the interval [4,6].
Answer:
B.
Step-by-step explanation:
Let's call x the number of pens and y the number of notebooks that Monique can buy.
If each pen costs $2 and each notebook costs $3, so she is going to spend 2*x on pens and she is going to spend 3*y on notebooks.
Additionally, she is going to spend a maximum of $36. so:
2x + 3y 36
It means that the line that separated the region is:
2x + 3y = 36
This is the same that a line that passes for the points (0,12) and (18,0) or the line of the region B