Answer:
<u>(1/14)</u>
Step-by-step explanation:
(6/7)/(12) <u>6/7 as a fraction divided by a whole of 12</u>
(6/7)/(12/1)
(6/7)*(1/12)
(1/7)*(1/2)
(1/14)
1) Cancel out the common factor which in this case is 8 
2)First apply exponent rule
now cancel out the common factors which are n and n+7 leaving you with 
3)Factorize
cancel out the common factor in this case x+2 leaving you with 
4) Factorize
cancel out the common factor in this case 3w-1 leaving you with 
5) In the picture
6)In the picture
I am REALLY tired sorry I wont be able to do the rest, I hope these are helpful :)
Answer: 3t²(2st⁷ - s⁶ - 2t⁵)
<u>Step-by-step explanation:</u>
5s⁶t² + 6st⁹ - 8s⁶t² - 6t⁷ <em>5s⁶t² and - 8s⁶t² are like terms which = -3s⁶t² when combined</em>
= 6st⁹ - 3s⁶t² - 6t⁷ <em>next, factor out the GCF of 3t²</em>
= 3t²(2st⁷ - s⁶ - 2t⁵)
Answer:
5. x = -1
6. x = 2
Step-by-step explanation:
5. AB = 5
BC = 2x + 6
AC = x + 10
AB + BC = AC (segment addition postulate)
5 + 2x + 6 = x + 10 (substitution)
Collect like terms
5 + 6 + 2x = x + 10
11 + 2x = x + 10
2x - x = - 11 + 10
x = -1
6. AB = 9x + 7
BC = -3x + 20
AC = 39
AB + BC = AC (segment addition postulate)
(9x + 7) + (-3x + 20) = 39 (substitution)
Solve for x
9x + 7 - 3x + 20 = 39
Collect like terms
9x - 3x + 7 + 20 = 39
6x + 27 = 39
Subtract 27 from both sides
6x + 27 - 27 = 39 - 27
6x = 12
Divided both sides by 6
6x/6 = 12/6
x = 2