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Fofino [41]
2 years ago
10

What value of c makes x2 6x c a perfect square trinomial? c = If x2 6x c = (x d)2, then d =.

Mathematics
1 answer:
Mariana [72]2 years ago
3 0

\qquad \textit{perfect square trinomial} \\\\ (a\pm b)^2\implies a^2\pm \stackrel{\stackrel{\text{\small 2}\cdot \sqrt{\textit{\small a}^2}\cdot \sqrt{\textit{\small b}^2}}{\downarrow }}{2ab} + b^2 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ x^2 \pm \stackrel{\stackrel{2\sqrt{x^2}\sqrt{c^2}}{\downarrow }}{6x} +c^2~\hspace{10em}6x=2\sqrt{x^2}\sqrt{c^2}\implies 6x=2xc \\\\\\ \cfrac{6x}{2x}=c\implies 3=c\implies 9=c^2~\hfill \boxed{(x\pm 3)^2}

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The fourth term of an arithmetic
yulyashka [42]

Answer:

2

Step-by-step explanation:

<u>Given AP where:</u>

  • a₄ = 2a₂ - 1
  • a₆ = 7

<u>To find</u>

  • a₁ = ?

<u>Since</u>

  • a₄ = a₁ + 3d
  • a₂ = a₁ + d
  • a₆ = a₁ + 5d

<u>Initial equations will change as:</u>

  • a₁ + 3d = 2(a₁ + d) - 1  ⇒  a₁ + 3d = 2a₁ + 2d - 1 ⇒ a₁ = d + 1
  • a₁ + 5d = 7 ⇒ a₁ = 7 - 5d

<u>Comparing the above:</u>

  • d + 1 = 7 - 5d
  • 6d = 6
  • d = 1

<u>Then:</u>

  • a₁ = d + 1 = 1 + 1 = 2
  • a₁ = 2

The first term is 2

5 0
3 years ago
Need help with this answer plz help
jeyben [28]
It would be H because 13 has no factors other than 1, and 13.

Hope this helps!
6 0
3 years ago
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Who can help me on my math I’m failing can y’all please help me on some questions.
Gnoma [55]

Answer:

8 & 17?

Step-by-step explanation:

8*2= 16

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3 years ago
Caleb wants to work as a dog walker. One client offers him $10 per day to walk his dog Puff, and wants Caleb to walk Puff every
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he will earn more if he walks Puff .

Step-by-step explanation:

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3 years ago
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yanalaym [24]

Answer:

13t² + 2t + 9

Step-by-step explanation:

(9t² - 3t + 5) - (-4t² + 5t + 4)

Solving like terms

-(-4t²) becomes + 4t²

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13t² + 2t + 9

If my answer is incorrect, pls correct me!

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