Factor the polynomial using the pattern.
x2 + 3x - 54

(x+9)×(x-6)

Step-by-step explanation:

1) x²+3x-54

Write 3x as a difference

x²+9x-6x-54

2) x²+9x-6x-54

Factor out x from the expression

x×(x+9)-6x-54

3) x×(x+9)-6x-54

Factor out -6 from the expression

x×(x+9)-6×(x+9)

4) x×(x+9)-6(x+9)

Factor out x + 9 from the expression

(x+9)(x-6)

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

the one that has a slope of 1/2 and is positive.

step-by-step explanation: 2 buckets 1 trip ; 4 buckets 2 trips and so on.