(Originais Teachy 2023) - Question Medium of Mathematics

In a large engineering system, a building is being designed and energy efficiency is a major concern. To ensure the efficiency of heating and cooling, the air conditioning system must be sized according to the specific needs of the building. The engineer in charge of the project must solve a system of linear equations to determine the ideal operating temperatures. Let the following be the system of equations that models the thermal behavior of the building: 2x + y + 3z = 10, 4x - 6y + 8z = 5, 3x + 7y + 5z = 18. The engineer must rewrite this system of equations in the matrix form Ax = b, where A is the matrix of coefficients, x is the vector of unknowns, and b is the vector of constant terms.

Imagine you are helping your younger brother with a Math assignment. He asked you what a rational number is. Explain to him, in a simple way, what a rational number is. Remember to mention the different ways a rational number can be written, such as fractions, decimal numbers, and recurring decimals.

João is building a fence for his garden. He decided to make the fence in the shape of a rectangle and already knows that the height is 4 meters and the base is 7 meters. Help João calculate the perimeter of the fence. What is the perimeter of João's garden fence?