The fundamental theorem of algebra states that a polynomial with degree n has at most n solutions. The "at most" depends on the fact that the solutions might not all be real number.
In fact, if you use complex number, then a polynomial with degree n has exactly n roots.
So, in particular, a third-degree polynomial can have at most 3 roots.
In fact, in general, if the polynomial 
has solutions 
, then you can factor it as
So, a third-degree polynomial can't have 4 (or more) solutions, because otherwise you could write it as
But this is a fourth-degree polynomial.
Answer:
Parallel segments → 1
perpendicular segments → 2
congruent segments → 3
hope it helps...
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Answer:
x = ± 2
Step-by-step explanation:
Given
x² = 20 ( take the square root of both sides )
x = ± 
= ± 
= ± 2
4 loads of stone ... 2/3 ton
1 load of stone ... x ton = ?
If you would like to know the weight of 1 load of stone, you can calculate this using the following steps:
4 * x = 2/3 * 1
4 * x = 2/3 /4
x = 2/3 / 4
x = 2/12 = 1/6 ton
The correct result would be 1/6 ton.
Answer:
a) Given
b) Given
c) Definition of Supplementary Angles
d) Same-side Interior Angles Theorem
e) Converse of the Same-side Interior Angles Theorem
Step-by-step explanation:
A flow proof is a way of organizing our thoughts and logical deductions about values in a math situation. We make statements and list underneath the reasons these statements are true. Reasons should include math theorems and definitions or any information that is "given" to us in the problem by being written there in it. We can see that a and b were both "given" in the problem.
We can add 40 and 140=180. This is the definition of supplementary angles. We also recognize by their positioning that they are on the same side of the transversal within what appears to be parallel lines. This is Same side interior Anges Theorem. FInally, because this theorem can be applied then the angles must be parallel. This is called the Converse of the Same Side Interioir Angle Theorem
