Question

4x-3²ˣʸ ⁺ ³ˣ⁻ʸ What is the height of this rectangle? 1) 4x2y + 14x2 - 10xy + 9x + 9 2) 8x²y + 4x2 ‚Äì 2xy - 9xy2 + 3y 3) 8x²y + 12x2 ‚Äì 10xy - 9x + 3y 4) 2x2y + 2x2 ‚Äì 10y2 + 3y

Answer 1

The 8x²y + 12x² - 10xy - 9x + 3y represents the height of the given rectangle.. The height of the rectangle is represented by the term 3y in the chosen expression.Thus,the correct option is 3.

Step-by-step explanation:

To find the height of the given rectangle expressed as 4x -
`3^((2xy)) + 3^((x-y))`, we need to identify the term that corresponds to the height. The height is determined by the coefficient of the 'y' variable. In the given options, the correct expression for the height is 3y in option 3.

Now, let's break down the chosen option:

8x²y + 12x² - 10xy - 9x + 3y

The term 3y is the height of the rectangle. The coefficient 3 indicates the height, which is the vertical dimension of the rectangle. The other terms in the expression represent various components, but the one with the 'y' variable directly contributes to the height.

In summary, the correct option is 3) 8x²y + 12x² - 10xy - 9x + 3y, and the height of the rectangle is represented by the term 3y. This term signifies the vertical extent of the rectangle in the mathematical expression, providing the solution to the problem.

Therefore,the correct option is 3.