Suppose r(x) and t(x) are two functions with the same domain, and let h(x)=r(x)+t(x). Suppose also that each of the 3 functions r, t and h, has a maximum value in this domain (i. e. a value that is greater than or equal to all the other values of the function).

Let M = the maximum value of r(x),
N = the maximum value of t(x), and
P = the maximum value of h(x).

How might the following always be true that M+N=P?

Prove the relationship to be true, or state what relationship does exist between the numbers M+N and P.

the answer is 3/5

step-by-step explanation:

first divide 24 divided by 8 because that is the least common multiple

then divide 40 by 8

then you will get 3/5.

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

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step-by-step explanation: