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bija089 [108]
2 years ago
15

Use the Pythagorean Theorem to solve the given problem. Hint: Draw a picture or diagram.

Mathematics
1 answer:
kotegsom [21]2 years ago
8 0

Answer:

√153 (approximately 12.37 feet)

Step-by-step explanation:

Pythagorean theorem: a² + b² = c²

a and b are the sides of the right triangle, while c is the hypotenuse.

Here, you are looking for the hypotenuse.

12² + 3² = c²

144 + 9 = c²

c² = 153

c = √153

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Left multiply the equation by the inverse matrix of (53​4−6​).

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The product of a matrix and its inverse is the identity matrix.

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Multiply the matrices on the left hand side of the equal sign.

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For the 2×2 matrix (ac​bd​), the inverse matrix is (ad−bcd​ad−bc−c​​ad−bc−b​ad−bca​​), so the matrix equation can be rewritten as a matrix multiplication problem.

(xy​)=(5(−6)−4×3−6​−5(−6)−4×33​​−5(−6)−4×34​5(−6)−4×35​​)(12​)

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Multiply the matrices.

(xy​)=(71​+212​×2141​−425​×2​)

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(xy​)=(31​−61​​)

Extract the matrix elements x and y.

x=31​,y=−61​

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