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The LHS reduces to 2 x 10^1005

2 x 10^1005  =k * 10^1004

k =[2 x10^1005] / [10^1004] =2 x 10

k =20

If you let a = b = c = d, then you get a square, and the formula works.

Whenx = -2     f(x) = y = 0

0 = (-2)² + k(-2) +8   

0 = 4 -2k + 8                    I think you should be able to solve for 'k' now......

Question:   How many different rectangles can be drawn on an 8*8 chessboard?

Answer:     8+7+6+5+4+3+2+1 = 36

36 different rectangles ( squares included ) can be drawn on a chessboard.  

3/8   at 8%      5/8ths at 10%

3/8 x *  .08   +   5/8 x *.10   = 92000    solve for x

(3x+1)(x+5) = 0        means x =   -1/3 , -5   

(x-3)(x-5) =0          means   x = 3,5   just sayin'  

From A to G is 180   then add  44   and 53    = ........

4 rectangles    4x4    6x4  4x4   2x4

Two trapeoids     2 *  1/2 ( 6+2) x 3.5     add 'em all together

\( $0.\overline7$\)       =     7/9

2  =   (1 + .105)ⁿ     Solve for 'n'       2 represents doubling       .105 = interest rate

n = 6.94 years

Draw a venn diagram:

Well....you can't       if only 25 have a card.....how can 50 have a card and a bike?    

         Please proofread ....what should '25 had a mastercard ' be?

a = adult                         revenue = 15a

s=student = 300-a          revenue = 11(300-a)            added = 3630

15a + 11(300-a)   = 3630                      solve for 'a'               then s = 300-a

Find the side of the square...that is equal to AD

s^2 +s^2 = 26^2

s^2 = 26^2 / 2

s = ~18.4 cm = AD

Area of square   -  1/4 circle area (radius = 18.4)

18.4  * 18.4    - 1/4 pi (18.4)^2    = ..........    cm^2

Sorry, the first list is wrong:

(11, 38, 65, 92, 119, 146, 173, 200, 227, 254, 281, 308, 335, 362, 389, 416, 443, 470, 497, 524, 551, 578, 605, 632, 659, 686, 713, 740, 767, 794, 821, 848, 875, 902, 929, 956, 983, 1010, 1037, 1064, 1091, 1118, 1145, 1172, 1199, 1226, 1253, 1280, 1307, 1334, 1361, 1388, 1415, 1442, 1469, 1496, 1523, 1550, 1577, 1604, 1631, 1658, 1685, 1712, 1739, 1766, 1793, 1820, 1847, 1874, 1901, 1928, 1955, 1982, 2009, 2036, 2063, 2090, 2117, 2144, 2171, 2198, 2225, 2252, 2279, 2306, 2333, 2360, 2387, 2414, 2441, 2468, 2495, 2522, 2549, 2576, 2603, 2630, 2657, 2684, 2711, 2738, 2765, 2792, 2819, 2846, 2873, 2900, 2927, 2954, 2981, 3008, 3035, 3062, 3089, 3116, 3143, 3170, 3197, 3224, 3251, 3278, 3305, 3332, 3359, 3386, 3413, 3440, 3467, 3494, 3521, 3548, 3575, 3602, 3629, 3656, 3683, 3710, 3737, 3764, 3791, 3818, 3845, 3872, 3899, 3926, 3953, 3980, 4007, 4034, 4061, 4088, 4115, 4142, 4169, 4196, 4223, 4250, 4277, 4304, 4331, 4358, 4385, 4412, 4439, 4466, 4493, 4520, 4547, 4574, 4601, 4628, 4655, 4682, 4709, 4736, 4763, 4790, 4817, 4844, 4871, 4898, 4925, 4952, 4979)>>Total = 185

Using polar coordinates, the order of the points is C, B, A, D.

Area of large triangle - area of smaller triangle

1/2  20 * 20      -   1/2  10 * 15   =    shaded area  

Easy pickings

First we find the area of the big triangle (the one that has both the not shaded and the shaded)

20^2=400

400/2=200

Next we should find the area of the not shaded triangle.

15x10=150

150/2=75

200-75=125

Yay!

From what I can gather (my LaTeX is hot garbage) your equation is:

y=(x+1)/(x^2-2x+1)

f(x)=y (i think im kinda rusty)

x=L is a vertical asymptote of f(x)=(x+1)/(x^2-2x+1), that is, if the limit of the function is infinite, to restate, it means that possible points are points where the denominator equals 0 or doesn't exist. *p**f*

So, just find the points where the denominator equals 0 and check them! Easy as pie!

x=1 chaching

x=1 is a vertical asymptote.

Yay!

2⁵⁵ < 4³³ < 3⁴⁴

11  38  65  92  119  146  173  227  254  281  335  362  389  416  443  497  524  551  578  632  659  686  713  767  794  821  848  875  929  956  983  1118  1145  1172  1199  1226  1253  1334  1361  1388  1415  1442  1469  1496  1523  1577  1631  1658  1685  1712  1739  1766  1793  1847  1874  1928  1955  1982  2117  2144  2171  2198  2225  2252  2279  2333  2387  2414  2441  2468  2495  2522  2549  2576  2657  2684  2711  2738  2765  2792  2819  2846  2873  2927  2954  2981  3116  3143  3197  3224  3251  3278  3332  3359  3386  3413  3467  3494  3521  3548  3575  3629  3656  3683  3737  3764  3791  3818  3845  3872  3899  3926  3953  4115  4142  4169  4196  4223  4277  4331  4358  4385  4412  4439  4466  4493  4547  4574  4628  4655  4682  4736  4763  4817  4844  4871  4898  4925  4952  4979  Total =  140 such numbers

2⁵⁵<3⁴⁴<4³³

Yay!

Edit: Oopsies, I got them mixed up!