Selection B is appropriate.
_____
The signs of the coefficients tell you the binomial factors must have both signs positive (selections B and C only). Selection B produces an x-term that is 15x+15x=30x (as we want); selection C produces an x-term that is 45x+5x=50x (not what we want).
The relevant rules of exponents are
.. (t^a)^b = t^(a·b)
.. t^a·t^b = t^(a+b)
You have
.. (t^-4)^-9·t^2
.. = t^((-4)*(-9) +2)
.. = t^38 . . . . . . . . . . . selection C
Answer:
C <em>,</em><em> </em><em>negative</em><em> </em><em>two</em><em> </em><em>times</em><em> </em><em>a </em><em>number</em><em>,</em><em> </em><em>plus</em><em> </em><em>seven </em><em>,</em><em> </em><em>is </em><em>fewer</em><em> </em><em>than </em><em>twenty</em><em>-seven </em><em>and </em><em>five </em><em>tenths </em>
The rules of exponents tell you that you can distribute the exponent to each of the factors. When one already has an exponent, those exponents multiply.
Answer:29° because the angle in between x and 105 is 54(alternate angles) in theory angles on a straight line add upto 180° so therefore x+105+54=180 thus x+159=180 as a result the remaining angle (x) would be 180-159=29° therefore x=29°
