The shorter piece is 37 cm
The longer piece is 48 cm:
Step-by-step explanation:
Divide 85 cm by 2 = 42.5
Divide 11 cm by 2 = 5.5
Add them together = 48 cm
85 cm - 48 cm = 37 cm
I cannot seem to Jae a equation out of this, however the answer could be 12
The coefficient of the last term in the binomial expansion is 1.
Given term is (x + 1)⁹.
The algebraic expansion of a binomial's powers is expressed by the binomial theorem or binomial expansion. The process of expanding and writing terms that are equal to the natural number exponent of the sum or difference of two terms is known as binomial expansion.
The binomial expansion formula for (a + b)ⁿ= ⁿC₀(aⁿb⁰)+ⁿC₁(aⁿ⁻¹b¹)+ⁿC₂(aⁿ⁻²b²)+ⁿC₃(aⁿ⁻³b³)+...............+ⁿCₙ(a⁰bⁿ)
Here, a = x, b = 1 and n = 9.
Substituting the values in the formula,
⁹C₀(x⁹{1}₀)+⁹C₁(x⁹⁻¹{1}¹)+⁹C₂(x⁹⁻²{1}²)+⁹C₃(x⁹⁻³{1}³)+......+⁹C₉(x⁰{1}⁹)
The last term is ⁹C₉(x⁰{1}⁹)
The coefficient of the last term = ⁹C₉ = 1.
Hence, the coefficient of the last term in the binomial expansion of (x+1)⁹ is 1.
Learn more about binomial expansion from here brainly.com/question/13602562
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The correct order is 5.123, 5.132, 5.231, 5.312.
