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eimsori [14]
4 years ago
6

What is the perimeter in centimeters of triangle ABC? 12 cm 14 cm 21.5 cm 35

Mathematics
1 answer:
allochka39001 [22]4 years ago
6 0
The Perimeter Answer is 12 cm
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The population of a local species of dragonfly can be found using an infinite geometric series where a1=42 and the common ratio
san4es73 [151]
\bf \textit{sum of an infinite geometric serie}\\\\
\stackrel{for~~|r|\ \textless \ 1}{S=\sum\limits_{i=0}^{\infty}~a_1r^i\implies \cfrac{a_1}{1-r}}\qquad 
\begin{cases}
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
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a_1=42\\
r=\frac{3}{4}
\end{cases}
\\\\\\
S=\cfrac{42}{1-\frac{3}{4}}\implies S=\cfrac{42}{\frac{1}{4}}\implies S=164

bearing in mind that, the geometric sequence is "convergent" only when |r|<1, or namely "r" is a fraction between 0 and 1.
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3 years ago
State the the roots of y=x^2+8x
Likurg_2 [28]

Answer:

The roots of the given equation are x = 0 and x = -8.

General Formulas and Concepts:

<u>Algebra I</u>

Terms/Coefficients

  • Factoring/Expanding

Quadratic Equations

  • Solving quadratic equations

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify.</em>

y = x² + 8x

<u>Step 2: Find Roots</u>

  1. [Quadratic] Factor:                                                                                          y = x(x + 8)
  2. [Quadratic] Set up [Solve]:                                                                             0 = x(x + 8)
  3. [Quadratic] Define:                                                                                         x = 0, -8

∴ the roots of the quadratic equation y = x² + 8x is equal to 0 and -8.

---

Topic: Algebra I

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