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pentagon [3]
3 years ago
5

Which is a counterexample that disproves the conjecture? After completing several multiplication problems, a student concludes t

hat the product of two binomials is always a trinomial.
Mathematics
1 answer:
Dahasolnce [82]3 years ago
5 0
When you make the product of a binomial of the kind x + a times other binomial that is of the kind x - a, you obtain another binomial (not a trinomial), so any example with that form will be a counterexample that disproves the conjecture:

(x + a) * (x - a) = x^2 - a^2

For example, (x +3) * (x - 3) = x^2 - 9. So, not always the product of two binomials is a trinomial.
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bogdanovich [222]
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3 years ago
What is the value of x?
Molodets [167]

Answer:

x = 4√5

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Trigonometry</u>

  • Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

<u>Step 1: Define</u>

We are given a right triangle. We can use Pythagorean Theorem.

a = 19

b = x

c = 21

<u>Step 2: Find </u><em><u>x</u></em>

  1. Substitute:                    19² + x² = 21²
  2. Isolate <em>x</em> term:               x² = 21² - 19²
  3. Evaluate:                       x² = 441 - 361
  4. Subtract:                       x² = 80
  5. Isolate <em>x</em>:                       x = √80
  6. Simplify:                        x = 4√5

And we have our final answer!

8 0
3 years ago
1. Kenneth bought 315 packages of cookies. Each package had 64 cookies. How many cookies
nasty-shy [4]

Answer:

20160

Step-by-step explanation:

315*64 = 20160

6 0
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Olegator [25]
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A recipe calls for 12 cups of blueberries to make 7 jars of blueberry jam.
Illusion [34]

Answer:

Each jar has 12/7 cups of blueberries.

Step-by-step explanation:

To find out how many cups of blueberries per jar, we take the number of cups of blue berries and divide by the number of jars

12 cups/7 jars

12/7 cups of blueberries per jar

Each jar has 12/7 cups of blueberries.




4 0
3 years ago
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