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mash [69]
2 years ago
5

Evaluate.

Mathematics
1 answer:
lys-0071 [83]2 years ago
8 0

Answer:

  361/900

Step-by-step explanation:

  \left(-\dfrac{1}{6}+0.6\left(-\dfrac{1}{3}\right)+1\right)^2=\left(-\dfrac{1}{6}-0.2+1\right)^2\\\\=\left(1-\left(\dfrac{1}{6}+\dfrac{1}{5}\right)\right)^2=\left(1-\dfrac{5+6}{6\cdot5}\right)^2=\left(\dfrac{19}{30}\right)^2=\boxed{\dfrac{361}{900}}

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<h2>Solving Quadratic Equations with the Quadratic Formula</h2>

<h3>Answer:</h3>

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<h3>Step-by-step Explanation: </h3>

Recall:

if we have a quadratic equation, ax^2 +bx +c = 0, where a, b and c are real numbers and a \neq 0, x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}.

Given:

2x^2 -7x +3 = 0

Solving for x:

x = \frac{-(-7) \pm \sqrt{(-7)^2 -4(2)(3)}}{2(2)} \\ x = \frac{-(-7) \pm \sqrt{49 -4(2)(3)}}{2(2)} \\ x = \frac{7 \pm  \sqrt{49 -24}}{4} \\ x = \frac{7 \pm \sqrt{25}}{4} \\ x = \frac{7 \pm 5}{4}

Solving with the positive value:

x = \frac{7 +5}{4} \\ x = \frac{12}{4} \\ x = 3

Solving with the negative value:

x = \frac{7 -5}{4} \\ x = \frac{2}{4} \\ x = \frac{1}{2}

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3 years ago
Point M is on line segment overline LN . Given MN = 3x , LN = 4x + 9 , and LM = 2x + 7 determine the numerical length of LM .
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Step-by-step explanation:

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=   4x + 8x² - 8 + x² + 7 - 4x

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=  7x² - 11 + 16x + 5x - 3x² - 7

<h3>=  4x² + 21x - 18</h3>

22.  (4x² - 12x - 10) - (2x² + x - 3)

=   4x² - 12x - 10 - 2x² - x + 3

<h3>=   2x² - 13x - 7</h3>

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=  7x³ - 9x² - 14x - 4x³ + 4 + x

=  7x³ - 4x³  - 9x² - 14x + x + 4

<h3>=  3x³ - 9x² - 13x + 4</h3>

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=   10x - x² + 8 + 5x² + 1 - 22x

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3 years ago
What is the measure of arc BC?
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Answer:

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Step-by-step explanation:

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