Principles Of Mathematics MCQ Quiz

The given expression can be simplified by combining like terms. The terms 6x and -6x cancel each other out, as do the terms 4c and -4c. The remaining terms are 12 and 12, which add up to 24. Therefore, the simplified expression is equal to 24.

The formula for the Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). Therefore, the correct answer is c=a+b, as it represents the relationship described by the Pythagorean theorem.

The given equation is 6n/2 = 3n. To solve for n, we can simplify the equation by canceling out the common factor of n in the numerator and denominator, which gives us 6/2 = 3. Simplifying further, we get 3 = 3. This equation is always true, meaning that no matter what value n is, the equation will hold. Therefore, the answer is "NONE OF THE ABOVE" as there is no specific value for n that satisfies the equation.

A Cartesian plane is divided into four quadrants. Each quadrant is formed by two perpendicular lines, the x-axis and the y-axis, intersecting at the origin. The quadrants are numbered as follows: the first quadrant is in the upper right, the second quadrant is in the upper left, the third quadrant is in the lower left, and the fourth quadrant is in the lower right. Therefore, there are four quadrants in a Cartesian plane.

The slope of a line is defined as the change in y-coordinates divided by the change in x-coordinates between any two points on the line. In this case, the denominator is 0, which means that there is no change in the x-coordinates. Therefore, it is not possible to calculate the slope because division by zero is undefined in mathematics. Hence, the correct answer is "Undefined".

The total interior angle sum of a polygon is the sum of all the interior angles of the polygon. In a polygon with n sides, the formula to calculate the total interior angle sum is (n-2) * 180 degrees. Therefore, the correct answer is 360 degrees.

The formula to determine the slope is m=rise/run. The slope of a line represents the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line. By dividing the rise by the run, we can calculate the slope of the line.

The formula to determine the interior angles of a polygon is (n-2)180. This formula states that the sum of the interior angles of a polygon is equal to the number of sides minus two, multiplied by 180. This formula can be applied to any polygon, regardless of the number of sides it has.

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