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! :)
Complete the square for the given equation
x² - 2x + ____ + y² - 2y + _____ = 98
x² - 2x + (1) + y² - 2y + (1) = 98 + (1) + (1)
(x - 1)² + (x - 1)² = 100
(x - 1)² + (x - 1)² = 10²
Now the equation is in the form (x - h)² + (y - k)² = r²
Radius = 10
Answer:
271,400
Step-by-step explanation:
I hope this helps
Answer:
y = -x + 15
Step-by-step explanation:
y = x-2
slope = 1
perpendicular line slope = -1
pass point (10, 5)
y intercept = y - mx = 5 - (-1)x10 = 15
equation: y = mx + b
y = -x + 15
Answer:
(B) -8
Step-by-step explanation:
Given the 2-column table below:
Taking the pair (-3,14) and (-1,10)
Taking the pair (1,6) and (4,0)
Slope, 
Since the slope is constant, the table represents a linear function whose slope is -2. Therefore:
Taking the pair (8,y) and (4,0)
Slope, 
Therefore, the value of ? on the y-column is -8.
