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Dragan: Please look at this question and see if you can solve it. I know the answer but don't know how to solve it. Thanks.  https://web2.0calc.com/questions/geometry_24827/new

Thank you a lot! I solved it actually a little while ago, and that answer is right!

You asked me privately to give you a detailed answer to help you understand graphing lines.

I have done that.

I hope you have looked at my answer properly. 

Do you understand that my answer and your answer are the same only mine is slightly better presented?

Anyway, I am glad you understand the question.

How do you know kanisan tried?

Maybe 4 was given to them by someone else (likely a dummy answer here).

Kanison did not state how the 4 was derived.

EP was right to ask.

And it is quite annoying when our 'teaching' answers are overridden.

Especially when the original person has not even responded to our response question yet.

Let x = 6th term        4th term is x-2d         8th is x+2d        10th is  x + 4d

    8th + 4th = 24

  x-2d   +   x +2d  = 24

         2x = 24

           x = 12 

6th + 10th = 44

x + x + 4d = 44

2x+4d = 44

x + 2d = 22     12 + 2d = 22    so d = 5        6th term = 12    d = 5       can you take it from here?

y = 28x  + 0

There is a 'side rule' that states any two sides of a triangle must be greater in sum than the third side  

x   could be   11  10   9  8   7   6  5        if it were 4  then  4+4 is not greater than the third side, 8

wow........

screenshot eh? kinda hard the last number is negative i think...

       - 16/ 4 =  -8       EP, are you sure about that quotient?  

_.

G = k/d^2      k is a constant   d = distance

600 newtons = k / (4000²)

600 (4000^2) = k = 9,600,000,000   N-mile²

? = 9600000000/(240000)² =  .1667 N

4a   y = 3x-2

4b   find slope   (y1-y2) / (x1-x2) = 2/3       

                         point slope form (using point  2,5   ....you could just the same use   -4,1)

                                               (y-5) = 2/3 (x-2) 

Looks like   4 x 5 = 20 possibilities

    only primes would be the primes in set 2   x    one   =====   5  0r 7 

2 out of 20 = 1/10 = .1    or 10%

The GRAPH is just the slanted line..... they provided the triangle to make it easier to calculate the slope

    slope =   rise / run =   - 16/ 4 =  -4

       y -axis intercept is shown as 16

y = -4x +16          *** edited...as per guest below....thanx!  I had made some corrections before posting, but didn't change that! ***

(10 nCr 6 + 10 nCr 7 + 10 nCr 8 + 10 nCr 9 + 10 nCr 10) / 2^10 =193 / 512

(x²+4)(x-7)

(x-2i)(x+2i)(x-7)

The triangle interior angle not labelled is     180 - (7x-3)

  All three of the interior angles sum to 180 degrees  

      41     + (4x-2)    +  (180-(7x-3)) = 180      now you should be able to easily solve for 'x'

JM = 17

   4x+1    + 3x+2 = 17

x = 2     JK = 9

9x+27 > 45

9x > 18

x > 1/2

9x+27<153

9x < 126

x < 14                                        combined        1/2 < x < 14         or maybe      (1/2,14)

Parallel slope = 4

(y-23) = 4(x-4)

There's a similar question here that has an equation you can plug your values into:

https://web2.0calc.com/questions/we-flip-a-fair-coin-10-times-what-is-the-probability-that-we-get-heads-in-at-least-8-of-the-10-flips

As follows:

There are: 6! / 2! =360 permutations for "FACIAL". Each of the 360 permutations begins with one of the 6 letters in FACIAL: 360 / 6 =60 permutations beginning with each letter. Since you have 2 "A", therefore, there will be:60 x 2 =120 permutation beginning with the letter "A". And since there is only one "I", there will be 60 permutations beginning with the letter "I". 

So, 360 - 120 - 60 =180 permutations that will NOT begin with a "vowel"

My guess    replaced    4/52 * 4/52 * 4/52 = ........

              NOT replaced   4/52 * 3/51 * 2/50 = ........          *** edited numerators and fixed spelling error * * *