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A rectangular garden has a length of 15 meters and a width of 10 meters. Calculate the area of the garden in square meters.
The area of a rectangle is calculated by multiplying its length by its width.
A triangle has sides of lengths 7 cm, 24 cm, and 25 cm. Determine if it is a right triangle using the Pythagorean theorem.
Solution: To determine the value of $ x $ that makes the two vectors orthogonal, we compute their dot product and set it equal to zero:
From (1): $ b = 2a - 5 $. Substituting into (3):
From (2): $ d = 2c + 3 $. Substituting into (4):
Solution: Let us define $ f(u) $ based on the given functional equation. Given: