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aliina [53]
3 years ago
7

Factor 9x^2 -5 . using difference of squares

Mathematics
1 answer:
lawyer [7]3 years ago
5 0
\bf \textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\\\
-------------------------------\\\\
9x^2-5\qquad 
\begin{cases}
9x^2=3^2x^2\\
\qquad (3x)^2\\
5=\sqrt{5^2}\\
\qquad (\sqrt{5})^2
\end{cases}\implies
\begin{array}{llll}
(3x)^2-(\sqrt{5})^2
\\\\\\
(3x-\sqrt{5})~(3x+\sqrt{5})
\end{array}
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sp2606 [1]

Answer:

20/29

Step-by-step explanation:

sin θ = 21/29

Use Pythagorean identity:

sin² θ + cos² θ = 1

(21/29)² + cos² θ = 1

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cos² θ = 400/841

cos θ = ±20/29

Since 0° < θ < 90°, cos θ > 0.  So cos θ = 20/29.

3 0
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Which of the following polynomial functions is graphed below? OA. f(x) = (x - 2) ^ 2 * (x + 3) * (x - 1) O B. f(x) = (x + 2) ^ 2
laila [671]

The function of the polynomial is (b) f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1)

From the graph, we have the following highlights

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  • The graph touches the x-axis at x = -2

The above highlights mean that:

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So, the function of the polynomial is:

f(x) =a(x + 2)^2(x + 1)(x - 3)

Assume a = 1.

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Multiply

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Hence, the function of the polynomial is (b) f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1)

Read more about polynomial graphs at:

brainly.com/question/8878887

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3 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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Naddika [18.5K]

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C

Step-by-step explanation:

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