3 years ago

Find two numbers whose sum is 23 and whose product is a maximum.

1 answer:

7 0

Let x = the first numberLet y = the second number x + y = 23                    eq1 y = 23- x
xy = Product                 eq2

Substitute eq1 into eq2. Lets get eq2 in terms of x.

Product = x(23 - x)Product = - x2 + 23x

we must find the vertex has coordinate (h, k). h = -b / 2a  where:a = -1b = 23
h= -23 / -2 = 11.5

<span>x = 11.5

</span>Substitute this value of x into eq1 to find y. y = 23 - xy = 23 - 11.5y = 11.5

<span>The two numbers that will give the largest product possible are 11.5 and 11.5.</span>

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irakobra [83]

BD = AC Given. BD cuts AC in half. That's what bisectors do.

BD = BD Reflexive property of a line (it is always equal to itself).

<ADB = <ADC = 90o

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<ADB + <ADC = 180o The two are supplementary.

Each angle = 90o Perpendicular means that one line meets another at 90o

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x = 90o

Since each of the enclosed angles = 90, two have two triangles congruent by SAS <<<< Answer