Step-by-step explanation:

ANSWER: y= 3x - 6
STEP-BY-STEP EXPLANATION:
(1,-3) and (3,3)
X1=1 X2=3
Y1= - 3 Y2=3
1) Find the slope of the line.
To find the slope of the line passing through these two points we need to use the slope formula:
m = 
m=
m=
= 3
2)Use the slope to find the y-intercept.
Now that we know the slope of the line is 3 we can plug the slope into the equation and we get:
y= 3x+b
Next choose one of the two point to plug in for the values of x and y. It does not matter which one of the two points you choose because you should get the same answer in either case. I generally just choose the first point listed so I don’t have to worry about which one I should choose.
y= 3x+b point (1,-3)
-3= 3(1) + b
-3-3=b
-6=b
3)Write the answer.
Using the slope of 3 and the y-intercept of -6 the answer is:
y = 3x - 6
Well, we know that 3:1 is one batch of orange water. We also know that there are 2 things to focus on.
1. Must write ratio for 2 batches of the recipe.
2. Must write ratio for 4 batches of the recipe.
To make this equation simple, double the ratio to find 2 batches because all it means is 2x more water.
3:1
x2
6:2
So, the ratio would be 6:2 to make 2 batches.
To make it easier again, we just multiply the ratio of 2 batches by 2 which would find the ratio for 4 batches.
6:2
x2
12:4
So that means, that it is 6:2 for 2 batches, and 12:4 for four batches.
Answer:
215 ft
Step-by-step explanation:
The length of the surrounding fence is equal to the perimeter of the garden. That is the sum of the lengths of the straight sides and the curved arc. The arc length is given by the formula ...
s = r·θ . . . . . where θ is the central angle in radians
__
<h3>arc length</h3>
There are π radians in 180°, so the arc will have a measure in radians of ...
θ = 132° × (π/180°) = 11/15π ≈ 2.3038 . . . . radians
Then the length of the curved side of the garden is ...
s = (50 ft)(2.3038 radian) ≈ 115.2 ft
__
<h3>perimeter</h3>
The fence length is the sum of the arc length and the two radii:
perimeter = 115.2 ft + 2×50 ft = 215.2 ft
About 215 feet of fencing are needed to enclose the garden.