Answer:
The dimensions of the yard are W=20ft and L=40ft.
Step-by-step explanation:
Let be:
W: width of the yard.
L:length.
Now, we can write the equation of that relates length and width:
(Equation #1)
The area of the yard can be expressed as (using equation #1 into #2):
(Equation #2)
Since the Area of the yard is 
, then equation #2 turns into:
Now, we rearrange this equation:
We can divide the equation by 5 :
We need to find the solution for this quadratic. Let's find the factors of 160 that multiplied yields -160 and added yields -12. Let's choose -20 and 8, since 
and 
. The equation factorised looks like this:
Therefore the possible solutions are W=20 and W=-8. We discard W=-8 since width must be a positive number. To find the length, we substitute the value of W in equation #1:
Therefore, the dimensions of the yard are W=20ft and L=40ft.
Answer:
RS=13
Step-by-step explanation:
RS+ST=RT
2w+1+w-1=18
3w=18
w=6
RS= 2w+1= 2(6)+1= 12+1= 13
For the dot plot write down the numbers from 18 to 26 and then plot how ever many points there are of each value
Hi There!
Follow y = mx + b
m = slope
b = y intercept
(a) What are the slope and the y-intercept for the equation that represents the number of baskets of berries the workers picked over a period of time?
Slope = 5
Y intercept = 10
(b) What are the rate of change and the initial amount? Explain the meaning of the rate of change and the initial amount for the situation.
The rate of change is how much it takes for the amoun to change. The initial amount should be going up with a slope of 5 each time.
(c) Use graph paper to draw a graph representing the situation. Label the axes appropriately.
Start at the origin than continue with a slope of 5 and make sure the y intercept is correctly graphed.
