A = 0 (or) B = 0
Solution:
The zero product principle is most probably used to solve a quadratic equation by factoring the factors.
Let us know the definition of zero product principle.
Zero product principle:
The zero product principle states that if the product of two factors is zero then at least one of the factors must be zero.
This means that if AB = 0, then A = 0 (or) B = 0.
Hence, The zero-product principle states that
if AB = 0, then A = 0 (or) B = 0.
Answer:
may not be exact
1- surveying every fifth student who walks in
2-randomly selected people of both genders
3-asking 8 random students from each second period
4-asking 4 girls and 4 boys from each~~
5-randomly choosing a page and counting the words
Step-by-step explanation:
1-explanation; the first one is skewed two 7th graders, the third one is skewed to volleyball players, the fourth one is skewed to eight graders
Answer:
x = 12z + 1 and y = 10z - 1
Step-by-step explanation:
To solve the system of equations, we can use the substitution method
If we call
3x - 4y + 4z = 7 I
x - y - 2z = 2 II
2x - 3y + 6z = 5 III
Clearing II x = 2 + y + 2z
Now, replacing II in III
2(2 + y + 2z) - 3y +6z = 5
4 + 2y + 4z - 3y + 6z = 5
10z - y = 1 from here y = 10z - 1
Finally, replacing y in I
3x - 4(10z - 1) + 4z = 7
3x -40z + 4 + 4z = 7
3x - 36z = 3
3x = 36z + 3
x = 12z + 1
Done
This question comes with these four statements as answer choices:
Statement 1 and Statement 2 are postulates because they are true facts.
Statement 1 is a theorem, and Statement 2 is a postulate.
Statement 1 and Statement 2 are theorems because they can be proved.
Statement 1 is a postulate, and Statement 2 is a theorem.
Answer: the third choice, "Statement 1 and Statement 2 are theorems because they can be proved."
Justification:
To answer this question you must rely in the definitions of the terms postulate and theorem.
1) Postulate: it is a statement that is assumed to be true, without proove. The theorems rely on postulates.
2) Theorem: it is an important mathematical result that can be proved from one or more posutalates.
So, the difference is that postulates are considered true without being proved, and theorems have to be proved.
3) The statement 1,<span> if two lines intersect, then they intersect at exactly one point, can be proved either algebraically or geometrically, so it is a theorem.
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4) The statement 2, i<span>n a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the length of the legs. This is the famous theorem of Pytagoras, for right triangles. It has been proved in many ways, mainly using the geometric arguments using areas, but also in other ways.
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So, from point 3 and 4, the two statements are theorems.
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