We can simplify this equation using logaritmic rules. logx-logb = log(x/b)
than our equation becomes.
log3((18x^3)/(2x)) = log3(144) or
log3(9x^2) = log3(144)
for x= -4 we get that left side is equal to right side
log3(9*(-4)^2) = log3(144)
but if you put that value of x=-4 in start you will get log3(18(-4)^3) which is log of negative value which is imposible. That is why x=-4 is extraneous solution.
In decimal form the answer is 20.34375
As these triangle has two proportional sides lengths (20/5 = 4 = 12/3), and this pair of sides confines two congruent angles (<P = <S), so these two triangles are similar...
and the postulate for this is: Side-Angle-Side (SAS)
choice: D
Standard form of Polynomials is given below .
Step-by-step explanation:
1. A polynomial is in standard form when its term of highest degree is first, its term of 2nd highest is 2nd etc.
Correct, standard form means that the terms are ordered from biggest exponent to lowest exponent. The leading coefficient is the coefficient of the first term in a polynomial in standard form. For example, 3x^4 + x^3 - 2x^2 + 7x.
2. Polynomials are sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer. For example, 3x+2x-5 is a polynomial.
3.Polynomials with more than 3 terms can be called simply polynomials. They're all polynomials. Otherwise, you can use the appropriate prefix (i.e. quadrinomial = polynomial with 4 terms).
As for monomials being considered polynomials, monomials are just a special case of polynomials in which there is only one term. Polynomials can be long strings of terms, or in other words, monomials.
Only if the they're both the same number. Then, their common value IS
also their greatest common factor AND their least common multiple.