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8 l on an s

Updated: 10/24/2022
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8 L on an S 8 legs on a spider

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The difference between two numbers is 16 three times the larger number is nine times the smaller. What are the number?

L = S + 16; 3 x (S + 16) = 9S ie 3S + 48 = 9S ie 48 = 6S so S = 8 and L = 24


The larger of two integer is twice the smaller when the recipical of the smaller integer is subtracted from the larger the result is the recipical of the smaller integer?

Let L equal the larger of the two integers and S the smaller. Then L=2S. Also L-1/S=1/S. Starting with this second equation and solving for L results in L=2/S. Equating the two values of L produces 2/S=2S and 1/S=S. The solutions to this last equation are S=1 or S=-1. If L is to be the larger of the two integers, then S must equal 1 and L must equal 2.


How do you find lower bound?

The lower bound of a set S if a number L such that L < s for all s in S and, given another number d (however small), there is an element t, in S such that t < L+d.


Write two numbers between the smallest and largest number?

Let the smaller number be S and the larger number L. The difference if L - S. Divide this difference into (say) three, then The first of the two intermediate numbers is S + (L-S)/3 The second of the two intermediate numbers is S + 2(L-S)/3


How to draw a rectangle with an area of 12 square centimeters with a perimeter of 16 centimeters?

Suppose length = L and width = Wthen perimeter, P = 2(L + W) = 16 => L + W = 8 and so W = 8 - LAlso, area A = L*W = 12therefore L*(8 - L) = 12 or L^2 - 8L + 12 = 0 => L = 2 or L = 6These are conjugate solutions so (L, W) = (6, 2) centimetres.