Answer:
{-2/7, 2/7}
Step-by-step explanation:
Here you're being asked to solve the given equation 49w^2-4=0 for w with the hint that the solutions are fractions.
49w^2-4=0 is the product of the sum and difference of two squares:
(7w - 2)(7w + 2) = 0
Setting each factor equal to zero and solving for w, we get:
{-2/7, 2/7} as the solutions.
The lengths of the diagonals are 16 and 48 feet.
To find the area of a kite, you multiply the lengths of the diagonals by each other and divide by 2.
All we need to do is fill in the information in the formula and solve for the missing side.
A = pq/2
384 = (x(3x))/2
768 = 3x^2
256 = x^2
16 = x
Now, just multiply this diagonal of 16 by 3 to find the other diagonal of 48.
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