Convert to slope-intercept form (y = mx + b).\n1. 3y = -2x + 12\n2. y = -2/3x + 4.\nThe slope is -2/3.

Total sum = Mean * Number of observations = 30 * 10 = 300.

Z-score = (60 - 50) / 5 = 2.

Perimeter = 3 * side. Therefore, side = Perimeter / 3 = 36 / 3 = 12 cm.

P(not occurring) = 1 - P(occurring) = 1 - 0.2 = 0.8

The probability of the event not occurring is 1 - 0.2 = 0.8.

Factoring the quadratic gives (x - 5)(x + 1) = 0. Thus, the roots are x = 5 and x = -1.

The circumference of a circle is given by the formula C = 2πr. Thus, C = 2π(5) = 10π cm.

The area of a circle is given by A = πr^2. Therefore, A = π(5^2) = 25π.

The area of a circle is given by the formula A = πr². Thus, A = π(7)² = 49π ≈ 154 cm².

The circumference of a circle is calculated using the formula 2πr. Therefore, circumference = 2π × 7 cm = 14π cm.

The circumference of a circle is calculated using the formula 2πr. Thus, the circumference is 2π × 7 cm = 14π cm.

Area = πr^2. If radius is doubled, new area = π(2r)^2 = 4πr^2, so area increases by a factor of 4.

The area of a circle is given by A = πr². If the radius is doubled (r' = 2r), the new area A' = π(2r)² = 4πr². Thus, the area increases by a factor of 4.

The area of a circle is given by A = πr². If the radius is doubled (r' = 2r), the new area A' = π(2r)² = 4πr², which is four times the original area.

If the radius is halved, the area becomes π(r/2)² = π(r²/4) = (1/4) * πr², which means the area is quartered.

The volume V of a sphere is given by V = (4/3)πr³. Thus, V = (4/3)π(3)³ = (4/3)π(27) = 36π.

Volume of a sphere = (4/3)πr³. If r is doubled, the new volume = (4/3)π(2r)³ = (4/3)π(8r³) = 8 times the original volume.

Using Heron's formula, s = (7 + 24 + 25)/2 = 28. Area = √(s(s-a)(s-b)(s-c)) = √(28(28-7)(28-24)(28-25)) = √(28*21*4*3) = 84 cm².

A triangle with sides in the ratio 3:4:5 is a right triangle.

Let the other number be y. Then x + y = 15. Therefore, y = 15 - x.

Let the other number be y. Then x + y = 30. Therefore, y = 30 - x.

3 + 2 = 5 apples

4 + 3 = 7, so you have 7 apples in total.

8 + 4 = 12

Using the distance formula: AB = √((4 - 1)² + (5 - 1)²) = √(9 + 16) = √25 = 5.0.

Using the distance formula: AB = √((4 - 1)² + (6 - 2)²) = √(9 + 16) = √25 = 5.0.

Area = 0.5 * |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)| = 0.5 * |1(6 - 2) + 4(2 - 2) + 7(2 - 6)| = 0.5 * |4 + 0 - 28| = 12.

Using the distance formula: AB = √((4 - 1)² + (6 - 2)²) = √(9 + 16) = √25 = 5.0.

If two triangles are congruent, all corresponding sides and angles are equal.