Question

For the equation 2x²+2y²=3, which statement correctly describes the point (1.3, -2.1)?

A) The point (1.3, -2.1) is not on the curve defined by the equation.
B) The point (1.3, -2.1) is a solution to the equation.
C) The point (1.3, -2.1) lies on the x-axis.
D) The point (1.3, -2.1) lies on the y-axis.

Answer 1

The point (1.3, -2.1) is not on the curve defined by the equation.

Step-by-step explanation:

The equation 2x² + 2y² = 3 represents an ellipse. To determine if the point (1.3, -2.1) lies on the ellipse, we substitute the values of x and y into the equation:

2(1.3)² + 2(-2.1)² = 3

2(1.69) + 2(4.41) = 3

3.38 + 8.82 = 3

12.2 ≠ 3

Since 12.2 does not equal 3, the point (1.3, -2.1) is not a solution to the equation. Therefore, the correct statement is:

The point (1.3, -2.1) is not on the curve defined by the equation.