Please answer correctly

9

Step-by-step explanation:

Pythagorean Theorem

a²+b²=c²

(c² is the hypotenuse)

a² + 40² = 41²

a² + 1,600 = 1,681

subtract 1681-1600 in order to isolate a², which is the missing leg we are trying to find

a² = 81 in order to find our answer, we isolate a by squaring both sides

√a² = √81

a = 9

Our answer is 9.

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).

step-by-step explanation:

a child is 12 years old, and his father is 32 years older. in how many years will the age of the father be 2 times the age of the child?

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this needs to be the answer format, or else your answer is incomplete.

if the number of years is x, then the equation is

in __ years