Answer:
Length: 84 ft
Width: 56 ft
Step-by-step explanation:
Let's define some variables first.
Call the length l and width w.
We know that w = 2/3l. Therefore, we can express w in terms of l with this expression.
Now, let's set up an equation. The flower garden is rectangular, and 280 feet of fencing are used to enclose the garden. This represents perimeter.
Remember the formula for perimeter of a rectangle: 2l + 2w
Let's substitute 2/3l for w:
2l + 2*2/3l = P
2l + 4/3l = 280
2 4/3l = 280
10/3l = 280
l = 84
Now, we know that the length is equal to 84 feet. We can multiply 84 feet by 2/3 to find the width.
84*2/3 = 56
Length: 84 ft
Width: 56 ft
Let's plug these values into the formula and see if they give us the correct perimeter:
2l + 2w = P
2*84 + 2*56 = P
168 + 112
= 280 feet
These are the correct dimensions!
Hope this helps! You can reach out to me if you have further questions or concerns! :)
2x + 3y = 1470
3y = -2x + 1470
y = -2/3x + 490 <== slope intercept form
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y = -2/3x + 490
slope = -2/3
y int = (0,490)
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description of graphing : Plot ur point at (0,490). Since the slope is -2/3, starting at (0,490)...go down 2 and to the right 3,then down 2 and to the right 3 and you will eventually cross the x axis at the x intercept.
The x intercept can be found by subbing in 0 for y and solving for x
y = -2/3x + 490
0 = -2/3x + 490
2/3x = 490
x = 490 * 3/2
x = 1470/2 = 735...so ur x intercept is (735,0)
therefore, your line will cross the x axis at (735,0)
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function notation is : f(x) = -2/3x + 490
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suppose his profit is 1593....
2x + 3y = 1593
3y = -2x + 1593
y = -2/3x + 531
the graphs for the two months :
similarities : they both have the same slope of -2/3
differences : they have different x and y intercepts
By the way, these are parallel lines
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sorry about the last one....can't see the 3rd month graph
Answer:
Sorry I don't remember the answer
Answer: y = 2x + 50
Step-by-step explanation:
first find the slope (m):
slope = rise/run = y1-y2/x1-x2
(1,52); (2,54)
slope = (54-52)/(2-1) = 2/1 = 2; m = 2
now since we have the slope and a point, we will put it into point-slope form:
y = m(x - x1) + y1
y = 2(x - 3) + 56
y = 2x - 6 + 56
y = 2x + 50
