The rate of change is 500.
Explanation:
The equation for this problem can be modeled in y = mx + b form.
m represents the rate of change and b represents the initial value or constant.
y = 10x + 20
x represents the number of hours he spent delivering newspapers
y is his total money after whatever number of hours he worked
The rate is 10, because it determines how much money he earns for each hour.
The y-intercept is 20, representing the starting amount of money in his bank account.
1. The rectangular prism is a right prism with rectangular bases (check the picture)
2. It has 8 vertices, so we are looking for 3d figures with 4 vertices.
3. A face can have at least 3 vertices, and the 4th must be outside of the plane determined by the first 3 vertices. This makes 4 vertices in total.
4. The 3d figure described in step 3 is a pyramid.
Answer:
Step-by-step explanation:
let x,y be the sides of court.
2(x+y)=90
x+y=90/2=45
y=45-x
xy=500
x(45-x)=500
45x-x²=500
x²-45x+500=0
x²-25x-20x+500=0
x(x-25)-20(x-25)=0
(x-25)(x-20)=0
x=25,20
when x=25
y=45-x=45-25=20
when x=20
y=45-20=25
sides are 25 ft,20 ft.
Hello!
So to find the y-coordinate we need an equation for the line. The equation we can use is
y = mx + b
In this we already know m(the slope which is 3) and we can find b by plugging in the points that are given.
10 = 3(0) + b
10 = 0 + b
10 = b
So now that we've found b, we can use this in our equation
y = 4x + b
So now we can plug in the x-coordinate that we know (2) and find the y - coordinate.
y = 4(2) + 10
y = 8 + 10
y = 18
18 is your y-coordinate