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Kruka [31]
4 years ago
6

Which two values of x are roots of the polynomial below 4x^2-6x+1

Mathematics
1 answer:
marysya [2.9K]4 years ago
7 0
\large\begin{array}{I} \mathtt{ Use~ the~formula,~ x= \dfrac{-b \pm \sqrt{b^2-4ac}}{2a} } \end{array}

\large\begin{array}{I} \mathtt{ x= \dfrac{6 \pm \sqrt{(-6)^2-4 \times 4 \times 1}}{2 \times 4}= \dfrac{3+ \sqrt5}{4},~\dfrac{3- \sqrt5}{4} } \end{array}
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Step-by-step explanation:

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3 years ago
Given tan θ = 2 and sin θ < 0. Find cos(θ +pi/4)
Lera25 [3.4K]

Answer:

√10 / 10

Step-by-step explanation:

tan θ > 0 and sin θ < 0, so θ is in quadrant III.  That means cos θ < 0.

cos(θ + π/4)

Use angle sum formula.

cos θ cos(π/4) − sin θ sin(π/4)

½√2 cos θ − ½√2 sin θ

Factor.

½√2 cos θ (1 − tan θ)

½√2 cos θ (1 − 2)

-½√2 cos θ

Write in terms of secant.

-½√2 / sec θ

Use Pythagorean identity (remember that cos θ < 0).

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-½√2 / -√(1 + 2²)

½√2 / √5

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5 0
3 years ago
rohana wants to find the volume of a sphere that has a radius of 10 feet. which equation can she use to solve for this value in
Vitek1552 [10]

The equation that can be used to determine the volume of the sphere is 4/3π10³

<h3>What is the volume of the sphere?</h3>

A sphere is a three-dimensional object in which points from its center to its circumference is equidistant.

Volume of a sphere = 4/3πr³

Where:

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To learn more about the volume of a sphere, please check: brainly.com/question/13705125

7 0
2 years ago
Which number line correctly shows -3-1.5?​
Papessa [141]
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Read 2 more answers
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