What is the value of x? Enter your answer in the box.
2 answers:
Answer:
Step-by-step explanation:
By given we know
Also, we know that the given figure is an equilateral triangle by definition, because all sides are equal.
So, that means all three angles are equal by the theorem of equilateral triangles.
Having said that, by sum of angles, we know that all three internal angles must sum 180°. But, in case of an equilateral triangle, all angles are equal to 60°, because 180° has to be divided equally by three.
Thereofore,
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as you can see, the terms exponents, for the first term, starts at highest, 5 in this case, then every element it goes down by 1, till it gets to 0
for the second term, starts at 0, and every element it goes up by 1, till it gets to the highest
now, to get the coefficient, they way I get it, is "the product of the current coefficient and the exponent of the first term, divided by the exponent of the second term plus 1"
notice the first coefficient is always 1
so...how did we get 10 for the 3rd element? well, 5*4/2
how did we get 10 for the fourth element? well, 10*2/4
and from there, you can simplify the elements of the expansion by combining the coefficients
like for example, the 7th element of (3a+4b)⁸ will then be 1032192a²b⁶