What values belong in the table shown below
1 answer:
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Answer:
y = 8
Step-by-step explanation:
Given that y is directly proportional to x² then the equation relating them is
y = kx² ← k is the constant of variation
To find k use the condition y = 2 when x = 3, then
2 = k × 3² = 9k ( divide both sides by 9 )
= k
y = x² ← equation of proportion
When x = 6, then
y = × 6² =
× 36 = 2 × 4 = 8
Answer:
width of the garden is 50 ft and the length is 70 ft
Step-by-step explanation:
Solution:-
- We will denote the width and and the length of the rectangular garden as:
Width: x
Length: x + 20
- We are given the area ( A ) of the garden is 3500 ft^2. We are to determine for what dimensions is the area A = 3500 ft^2.
- Recall that the area ( A ) of a rectangle is the product of length and width as follows:
A = Length * width
A = x*( x + 20 )
3500 = x^2 + 20x
x^2 + 20x - 3500 = 0
- Use the quadratic formula to determine the value of ( x ):
- Ignore the negative value of ( - 70 ft ). Physical impractical to have a negative value. Hence, the width of the garden is 50 ft and the length is 70 ft