The expression x^2 - 9 is a difference of squares, which factors to (x - 3)(x + 3).

Find two numbers that multiply to 6 and add to -5: -2 and -3. Thus, (x - 2)(x - 3).

This is a perfect square trinomial. It factors to (x + 2)(x + 2) or (x + 2)^2.

The expression x^2 + 6x + 9 is a perfect square trinomial. It factors to (x + 3)(x + 3) or (x + 3)^2.

Step 1: Find two numbers that multiply to 10 and add to 7: 5 and 2. Step 2: Write in factored form: (x + 5)(x + 2).

The expression x^2 - 4 is a difference of squares and can be factored as (x - 2)(x + 2).

The polynomial factors to (x - 2)(x - 3) since the roots are 2 and 3.

This is a difference of squares: x^2 - 9 = (x - 3)(x + 3).

The frequency of y = sin(Bx) is |B|/(2π). Here, B = 2, so the frequency is 2/(2π) = 1/π.

Using tan(60°) = height/50, height = 50 * tan(60°) = 50√3.

Area = 1/2 * base * height. Therefore, height = (2 * Area) / base = (2 * 32) / 8 = 8 cm.

Area = 1/2 * base * height; 36 = 1/2 * 12 * height; height = 36 / 6 = 6 cm.

Area = 1/2 * base * height. Therefore, 60 = 1/2 * 12 * height. Height = 60 / 6 = 10 cm.

The inverse of sin(x) is sin⁻¹(x).

The leading coefficient is the coefficient of the term with the highest degree. Here, it is 4.

The leading coefficient is the coefficient of the term with the highest degree. Here, the leading term is 4x^3, so the leading coefficient is 4.

Chord length = 2r * sin(θ/2) = 2 * 8 * sin(45°) = 8√2 cm.

The length of an arc is given by L = (θ/360) * 2πr. Thus, L = (90/360) * 2 * π * 10 = 15.7 cm.

Arc length = (θ/360) * 2πr = (45/360) * 2π(10) = (1/8) * 20π = 10π/4 cm.

Arc length = (θ/360) * 2πr = (90/360) * 2π(10) = 5π cm.

Arc length = (θ/360) * 2πr = (90/360) * 2π(3) = (1/4) * 6π = 1.5π cm.

Arc length = (θ/360) * 2πr = (90/360) * 2π(4) = 2π cm.

Arc length = (θ/360) * 2πr = (90/360) * 2π(4) = 2π cm.

The length of an arc is given by the formula L = (θ/360) * 2πr. For r = 5 cm and θ = 60°, L = (60/360) * 2π(5) = (1/6) * 10π ≈ 5.24 cm.

Arc length = (θ/360) * 2πr = (60/360) * 2π(6) = 2π cm.

Arc length = (θ/360) * 2πr = (60/360) * 2π(6) = 2π cm.

Arc length = (θ/360) * 2πr = (60/360) * 2π(6) = 2π cm.

The length of each side of a regular octagon inscribed in a circle can be calculated using the formula s = r × √2(1 - cos(π/n)). For n=8 and r=10 cm, s = 10 cm × √2(1 - cos(π/8)) = 5√2 cm.

Using the formula for the area of a triangle: Area = 1/2 * base * height. Area = 1/2 * 5 * height. Area = 5.0. Height = 3.0.

Using the area formula: Area = 1/2 * base * height, we can rearrange to find height: height = (2 * Area) / base = (2 * 40) / 10 = 8 cm.