Someone please help me with number 6

9514 1404 393

  14.3

Step-by-step explanation:

The Pythagorean theorem is used for this.

  x² + 14² = 20²

  x² = 20² -14² = 400 -196 = 204

  x = √204 ≈ 14.3

The missing side length is 14.3.

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).