Answer:
x+y=200
xy=9,600
Step-by-step explanation:
The diagram shows rectangular parking lot with sides of x feet and y feet.
1. The area of the rectangle is given by
A=Length \times Width
A = xy -------------------------(1)
We are given that the area of the parking lot is 9,600\ ft^2, then
eq(1) becomes
9,600 = xy ---------------------(2)
2. A parking lot has a 200ft fence built along two adjacent sides of lengths x and y, then
Then the perimeter of the two adjacent sides
x+y=200
---------------------------------(3)
Thus ,The system of two equations are
x+y=200
xy=9,600
Answer:
x = ±2.24
Step-by-step explanation:
16x² - 80 = 0
16x² = 80 (Add 80)
x² = 5 (Divide by 16)
x = ±√5 (Square root both sides)
≈ 2.24, -2.24
Answer:
1000 : 269 : 47
Step-by-step explanation:
A ratio is a way of comparing the value or amount of one quantity to another.
We are to find the ration of water to sucrose to saline solution, hence, it must remain in that order.
Water : Sucrose : Saline solution
The amount of water is 1 litre (1 * 1000 ml = 1000 ml)
The amount of sucrose is 269 ml
The amount of saline solution is 47 ml
Therefore, the ratio of water to sucrose to saline solution is:
W : S : SS = 1000 : 269 : 47
Since 1000, 269 and 47 have no common factors, that is the simplest form of the ratio.
Answer:
a) y = 6x - 3
b) 1/3y = 2x -1
The first thing you need to do is isolate (y) in the second equation
3 x (1/3y) = 3 x (2x - 1)
y =6x - 3
After isolating (y) in equation b they end up being the same.
Graphing:
In order to graph this, you have to make the first point at (0, -3) since this is the Y-intercept of the equation.
In order to graph the other points, you must move 6 units up and 1 unit to the right. Or vise versa If you need a visual I'll gladly link one.