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kondaur [170]
3 years ago
11

Which is bigger -2.7 or -2.73

Mathematics
2 answers:
Katen [24]3 years ago
7 0
-2.7

-2.7 > -2.73

Use rules of greater than and less than with negative numbers
Likurg_2 [28]3 years ago
7 0

Answer: -2.7 is the answer.

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Hi. I need help with these questions.<br> See image for question.<br> Answer 16 and 17
Irina-Kira [14]

Step-by-step explanation:

16.................................................

<h3>Given</h3>
  • Equation ax² + bx + c = 0
  • One of the roots is twice the other
<h3>To find</h3>
  • Show that 2b² = 9ac
<h3>Solution</h3>

Let the roots be p and q

<u>The sum and product of the roots:</u>

  • p + q = -b/a
  • pq = c/a

<u>The sum of the roots, considering p = 2q,</u>

  • p + q = 2q + q = 3q

And

  • 3q = -b/a ⇒ q = -b/(3a)

<u>The product of the roots, considering p = 2q:</u>

  • pq = 2q(q) = 2q²

And

  • 2q² = c/a

<u>Substitute q with -b/(3a)</u>

  • 2(-b/(3a))² = c/a
  • 2b²/(9a²) = c/a
  • 2b² = 9a²(c/a)
  • 2b² = 9ac

=================================================

17. .................................................

<h3>Given</h3>

Quadratic equation

  • ax² = bx + c = 0, with equal roots
<h3>To find</h3>
  • Show that b² = 4ac
<h3>Solution</h3>

<u>Equal roots means the discriminant is zero:</u>

  • D = √b² - 4ac
  • √b² - 4ac = 0
  • b² - 4ac = 0
  • b² = 4ac
3 0
3 years ago
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