Answer: P(26,5).
That is all the possible combinations of 5 letters made out from 26 letters.
That is 26! / [ 5! ( 26 - 5)! ] = 26! / [5! 21! ] = 26*25*24*23*22*21! / [ 5! 21!] =
= 26*25*24*23*22 / [5*4*3*2*1] = 65,780 arrangements.
Answer:x=17
Step-by-step explanation:
Set 6x+5+5x-12 equal to 180
Simplify into 11x-7=180
Add 7 to both sides to get 11x=187
Divide both sides by 11 to get x=17
Answer:
-5x^2 - 25x + 18
Step-by-step explanation:
-3x ( x + 8 ) + x + 2 ( 9 - x - x^2 ) ( original equation )
-3x^2 - 24x + x + 18 - 2x - 2x^2 ( distribute )
-3x^2 - 2x^2 - 24x + x - 2x + 18 ( order them based on the variables . )
( -3x^2 - 2x^2 ) (- 24x + x - 2x ) ( + 18 ) ( just separated them not a part of solving !! )
-5x^2 - 25x + 18 ( solved , and the answer :) )
Hope its helps !!!
Answer:
8, 36, -12
Step-by-step explanation:
Q2
41 = 8x - 23
8x = 41 + 23
8x = 64
x = 8
Q4
11 = x/2 - 7
22 = x - 14
22 + 14 = x
x = 36
Q6
3(x - 8) = -60
x - 8 = -20
x = -12
Hello,
tan t /(sec t -cos t)= sin t/(cos t *(1/cos t -cos t))
=sin t/(cos t*(1-cos ²t)/cos t))
=sin t/sin² t=1/sin t [or=cosec t.]
