In basketball you score 2 points for a field goal and 1 point for a free throw. Suppose that you have scored at least 3 points i
n every game this season, and have a high season score of 15 points in one game. How many field goals and free throws could you have made in any one game?
2x + y ≤ 15
x + y ≥ 3
write one possible solution to the problem in sentence form
2x + y ≤ 15
x + y ≥ 3
write one possible solution to the problem in sentence form
2 answers:
Answer:
There are 2 points for a field goal, and 1 point for a free throw.
x=Points scored for a field goal
y=Points scored for a free throw
It is also given that, you have scored at least 3 points in every game this season, and have a high season score of 15 points in one game.
2x+y≤15
x+y≥3
Plotting the inequality on two dimensional xy plane
The solution set through graph is attached below.
One possible solution is
x=5 field goals
y=5 free throw
⇒In a game I have made 4 field goals and 3 free throws. So total number of points scored in game will be 4×2+3=11 points.
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Answer:
Perimeter of rectangle is 23.34
Step-by-step explanation:
The coordinates of the vertices of a rectangle are (-4, 3), (-1, 5),(3, – 1), and (0, – 3).
What is the perimeter of the rectangle?
The formula to find perimeter of rectangle is:
We need to find length and width first using the coordinates (-4, 3), (-1, 5),(3, – 1), and (0, – 3).
Let A=(-4, 3) B=(-1, 5) C=(3, – 1) and D=(0, – 3) according to the figure attached.
So, If we find distance of point AB it can be considered length of rectangle and distance of point AC can be considered width of rectangle
The formula used to find distance is:
Finding distance AB, we have
So distance between point A and B is 3.61
Finding distance AC, we have
So, distance between point A and C is 8.06
We have length = 3.61 and width = 8.06
Using formula of perimeter
So, Perimeter of rectangle is 23.34
