Slope formula: m = (y2 - y1) / (x2 - x1) = (6 - 2) / (3 - 1) = 4 / 2 = 2.

The slope of a line perpendicular to another is the negative reciprocal. Thus, the slope is 1/3.

Rearranging to slope-intercept form: -2y = -4x + 8 => y = 2x - 4. The slope is 2.

Solving the system: From x - y = 2, y = x - 2. Substituting into 2x + (x - 2) = 10 gives x = 4, y = 2.

Standard deviation = sqrt(variance) = sqrt(8.57) ≈ 2.93.

The sum of the interior angles of a polygon is (n-2) * 180 degrees. For a pentagon (n=5), it is (5-2) * 180 = 540 degrees.

The sum of the interior angles of a triangle is always 180 degrees.

The sum of the roots of ax^2 + bx + c is -b/a. Here, -(-4)/1 = 4.

Surface area of a cube = 6 * (side length)² = 6 * (5)² = 6 * 25 = 150 cm².

Surface area of a sphere = 4π * (radius)² = 4π * (6)² = 4π * 36 = 144π cm².

According to the order of operations, we first multiply 3 × 2 = 6, then add 7 + 6 = 13.

2x^2 - 8 = 0 => 2x^2 = 8 => x^2 = 4 => x = ±2. The positive value is 2.

Variance = [(1-3)^2 + (2-3)^2 + (3-3)^2 + (4-3)^2 + (5-3)^2] / 5 = 2

Volume = side³ = 4³ = 64 cm³.

Setting x = 0: 6(0) - 3y = 9 => -3y = 9 => y = -3. The y-intercept is -3.

The mean is most affected by extreme values because it takes all values into account.

x^2 - 5x + 6 = (x - 2)(x - 3). So, x - 3 is a factor.

The binary representation of the hexadecimal number A is 1010.

The binary addition of 1011 and 1101 is 11000.

The binary subtraction of 1010 from 1100 is 0010.

The hexadecimal equivalent of the binary number 1111 is F.

Two triangles are congruent if they have the same side lengths. The triangle with sides 5 cm, 12 cm, and 13 cm is congruent to itself.