All Answers 356458 Answers

QR - RD = 2/3.

By similar trianlges, UV = 10.

Letting x go to 2, we find that A + 2B = 4.  Letting x go to -1, we find 2A - B = 3.  Therefore, A = 2 and B = -1.

2y + 5x = 90  

2y + 5x + y + 7x = 180 or       3y + 12x = 180

Can you solve the equations?    

Start fully charged  100 %

run hyper  4/20   consumed   leaves   16/20      16/20 x 100% = 80 % left

run turbo  16/40    leaves  24/40 of remaining battery      24/40 x 80% = 48% battery left

Normal speed runs for one hour with 100%   but only 48% of an hour of battery is left    48% x 60 minutes = 28.8 minutes

r + c = 20      or     c = 20 - r     use this for 'c' in the second equation

.75 r  +  .5 (20 - r) = 12.00    now you can easily  solve for 'r'   then  c = 20 - r

Find two good points   -3 -2    and   1, 0

   find slope      (-2 -0) / (-3-1) = 1/2

(y+2) = 1/2 (x+3)     is the equation of the line   re-arrange to   y = 1/2 x - 1/2

The LINE is dashed and not included in the area above the line      so    y > 1/2 x - 1/2

The triangle is equilateral.

Theorem of Thales

180° - 90° - 14° = 76 °

You ran a total of 600 m  in 12 min

600 m / 12 min = .........    m/min  average

FV = $10,000 x 1.06^5

FV = $10,000 x  1.3382255776

FV = $13,382.26

You can use coordinates, to get the disantce between the lines is 3/2.

2 = 1 x 1.10^n

n = log(2) / log(1.10)

n = 7.27 Years

You pick the term you are looking for:

Expand   (2x  +  3)^10

1024 x^10 + 15360 x^9 + 103680 x^8 + 414720 x^7 + 1088640 x^6 + 1959552 x^5 + 2449440 x^4 + 2099520 x^3 + 1180980 x^2 + 393660 x + 59049
 

That is what I THOUGHT the answer MIGHT be.....but the question states   KM  is  '3'   in the ratio 2:1:3   

          I believe it should state LM is   '3' in the   2:1:3      which it looks as though your answer assumed (o/w the answers would not be integers)

I neglected to add this fact: Because 9007 is a Prime Number, all integers between 1 and 9007 have a GCD = 1 with 9007 and hence are relatively prime to 9007, which is part of the definition of "Euler's Totient Function".

a + b + c = 1
a b + a c + b c = a b c
a b c = -4, solve for a, b, c

a = -2 and b = 1 and c = 2
a = -2 and b = 2 and c = 1
a = 1 and b = -2 and c = 2
a = 1 and b = 2 and c = -2
a = 2 and b = -2 and c = 1
a = 2 and b = 1 and c = -2

a^3 + b^3 + c^3 = 1 - No matter what values of a, b, c you use, you will always get 1, because +2 and -2 will always cancel out.

yeah...

Maybe I shouldn't have given kenisen the answer, but I mean he/she did get half of the answer, so i guess, he/she already tried and did their work, not only seeking for the answer. :)

4007 , 6007 , 9007 , 10007 , 12007 , 13007 , 16007 , 24007 , 36007 , 45007 , 61007 , 64007 , 78007 , 82007 , 88007 , 90007 , 94007 , 97007 , >>>Total= 18

All the above integers between 1000 and 100,000 end in 007 and are Prime Numbers. You may take any one of them and subtract 1.

Example: m = 9007 - 1 =9006. Any or ALL "n" between 1 and 9006 inclusive are relatively prime to m, or 9007 in this particular case. This comes from the definition of "Euler's Totient Function", or sometimes called "Euler's Phi Function"

I hope that this is what your Math Teacher had in mind when he/she posed this question.

On the number line above, points J, K, L, and M are integers, and JK:KL:KM = 2:1:3. What is the value of KM?

Hllo Guest!

 --            24                --   

J          K     L               M

     2        1          3               | \(\times\frac{24}{6}\)

     8        4         12

                    16

The value of KM is 16.  (G)

  !

Rearrange it to make x the subject.

Then the denominator cannot be 0

It is explained here quite nicely

The formula for the sum of an AP is

S=n/2(2a+L)