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Answer 1 Matrix algebra is used to solve systems of linear equations by representing the system as a matrix equation Ax = b, where A is the coefficient matrix, x is the column vector of variables, and b is the column vector of constants. By finding...
Answer 1 The Earth is composed of four main layers: the crust, mantle, outer core, and inner core. The crust is the outermost layer, thin and solid. The mantle lies beneath the crust, composed of semi-solid rock. The outer core is liquid iron and...
Answer 1 The main functions of the human respiratory system include the intake of oxygen and removal of carbon dioxide through the process of gas exchange, regulation of blood pH, protection against pathogens and irritants, and vocalization. The...
Answer 1 To prove that the angle subtended by an arc at the circumference of a circle is half the angle subtended by the same arc at the center, consider a circle with center O. Let points A, B, and C lie on the circle such that arc AC subtends angle...
Answer 1 The three branches of the United States Government are the Legislative, Executive, and Judicial branches. The Legislative branch makes laws, the Executive branch enforces laws, and the Judicial branch interprets laws. This system ensures a...
Answer 1 To solve the equation 6x + 9y - 14 = 5y + 13 for x, follow these steps: 1. Subtract 5y from both sides to get 6x + 4y - 14 = 13. 2. Add 14 to both sides to get 6x + 4y = 27. 3. Subtract 4y from both sides to isolate 6x, giving 6x = 27 - 4y....