The phrase "4 s in a p of b" typically stands for "four seasons in a period of bloom." It refers to the idea that a person or situation can experience various phases or changes over time, much like the four seasons that represent different stages of growth and renewal. This expression emphasizes the cyclical nature of life and the potential for transformation and development.
10 P on a B A = 10 Pins on a Bowling Ally.
The two numbers are 18 and -24.If you're having trouble with the factoring, you can always use the quadratic formula:Let the two numbers be a & b. a*b = P and a+b = S {for Product and Sum}So substitute b = S-a {from the Sum formula}, and you have a*(S-a) = P, or:a*S - a² = P ----> a² - S*a + P = 0.So with the quadratic formula:a1 = (-S + sqrt(S^2 - 4*1*P)/(2*1) Anda2 = (-S - sqrt(S^2 - 4*1*P)/(2*1)Substituting -432 for P and -6 for S, we get a1 = 18, and a2 = -24. Note that substituting a1 into the original formulas, gives b = a2, or if you use a2, then you get b=a1. So the two numbers are a1 and a2.
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Given the graphic capability of this site, you are going to have to use some imagination! <---------a---------> <---a-b---><--b--> +-----------+-------+ |...............|..........| |.......P......|....Q...| |...............|..........| +-----------+-------+ |.......R......|....S....| |...............|..........| +-----------+-------+ In the above graphic, P, S and the whole figure are meant to be squares. The total area is P+Q+R+S = a2 P = (a-b)2 Q = b*(a-b) = (a-b)*b = a*b - b2 R = (a-b)*b = a*b = a*b - b2 and S = b2 Now, P = {P+Q+R+S} - Q - R - S = a2 - ab + b2 - ab + b2 - b2 = a2 - 2ab + b2
P. B. S. Pinchback died on 1921-12-21.
P. B. S. Pinchback was born on 1837-05-10.
S. P. B. Charan was born on 1974-01-07.
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2 All Beef Patties, Special Sauce, Lettuce, Cheese, (Pickles, Onions) on a Sesame Seed Bun
stuck between a rock and a hard place
If a is rational then there exist integers p and q such that a = p/q where q>0. Similarly, b = r/s for some integers r and s (s>0) Then a*b = p/q * r/s = (p*r)/(q*s) Now, since p, q r and s are integers, p*r and q*s are integers. Also, q and s > 0 means that q*s > 0 Thus a*b can be expressed as x/y where p and r are integers implies that x = p*r is an integer q and s are positive integers implies that y = q*s is a positive integer. That is, a*b is rational.
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