Complete the statements to solve for x.

by the converse of the side-splitter theorem, if jk/kl = , then km ∥ jn.

substitute the expressions into the proportion: startfraction x minus 5 over x endfraction = startfraction x minus 3 over x + 4 endfraction.

cross-multiply: (x – = x(x – 3).

distribute: x(x) + x(4) – 5(x) – 5(4) = x(x) + x(–3).

multiply and simplify: x2 – x – = x2 – 3x.

solve for x: x = .

step-by-step explanation:

divide, then simplify your answer.

1. make -15.66 ÷   5.8 a fraction. then divide.

2. simplify.  

3. final answer.  

1st part is 64,000,000

2nd part 500,000

step-by-step explanation:

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.

answer: (x+2) (x+3) are the binomials for your question : )