Pointsssssssss thank you :)
Step by step;
The dimensions of the rectangle can be a length of 2ft and a width of 4ft.
<h3>
How to find the dimensions of the garden?</h3>
Remember that for a rectangle of length L and width W, the perimeter is:
P = 2*(L + W)
And the area is:
A = L*W
In this case, we know that the area is 8 square feet and the perimeter is 12 ft, then we have a system of equations:
12ft = 2*(L + W)
8ft² = L*W
To solve this, we first need to isolate one of the variables in one of the equations, I will isolate L on the first one:
12ft/2 = L + W
6ft - W = L
Now we can replace that in the other equation to get:
8ft² = (6ft - W)*W
This is a quadratic equation:
-W^2 + 6ft*W - 8ft² = 0
The solutions are given by Bhaskara's formula:

Then we have two solutions:
W = (-6 - 2)/-2 = 4ft
W = (-6 + 2)/-2 = 2ft
If we take any of these solutions, the length will be equal to the other solution.
So the dimensions of the rectangle can be a length of 2ft and a width of 4ft.
if you want to learn more about rectangles:
brainly.com/question/17297081
#SPJ1
The sample space of Shari's tree diagram is the total possible outcomes of rolling the game piece and spinning the pointer.
It doesn't matter if Shari starts with the spinner or the game piece
<h3>How to determine the tree diagram</h3>
The experiment involves:
- Rolling a 12-sided game piece
- Spinning the pointer of a 4-section spinner
If Shari starts with the game piece, the sample size (n) would be:
n = 12 * 4
n = 48
If Shari starts with the spinner, the sample size (n) would be:
n = 4 * 12
n = 48
Notice that the sample size remains unchanged irrespective of what he starts with
Hence, it doesn't matter if Shari starts with the spinner or the game piece
Read more about tree diagram at:
brainly.com/question/2581880
Answer:
1.Isolate y
3y=10-8x
y=10/3-8/3x
2.Put in correct format (y=mx+b)
y=-8/3x+10/3
y= -8/3x+10/3
slope is -8/3 and y-intercept occurs in 10/3 or 3.333