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Lynna [10]
2 years ago
5

2. Find the volume of the prism. Round to the nearest tenth.

Mathematics
1 answer:
natita [175]2 years ago
7 0

\huge\mathcal\pink{ANSWER}

\mathsf \purple{ v = \frac{1}{2} (a + b) \times h \times l}

\mathsf \pink{v =  \frac{1}{2} (5 + 12) \times 6.1  \times 16}

\mathsf \purple{v =  \frac{1}{2} (17) \times 6.1 \times 16}

\mathsf \pink{v = 8 \frac{1}{2}  \times 6.1 \times 16}

\mathsf \purple{v = 829.6 {mi}^{3} }

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Verify that the roots of 5x²- 6x -2 = 0 are <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%20%2B%20%5Csqrt%7B19%7D%20%7D%7B5%7D%2
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Answer:

Proof below.

Step-by-step explanation:

<u>Quadratic Formula</u>

x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0

<u>Given quadratic equation</u>:

5x^2-6x-2=0

<u>Define the variables</u>:

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<u>Substitute</u> the defined variables into the quadratic formula and <u>solve for x</u>:

\implies x=\dfrac{-(-6) \pm \sqrt{(-6)^2-4(5)(-2)}}{2(5)}

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\implies x=\dfrac{6 \pm \sqrt{4}\sqrt{19}}{10}

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Therefore, the exact solutions to the given <u>quadratic equation</u> are:

x=\dfrac{3 + \sqrt{19}}{5} \:\textsf{ and }\:x=\dfrac{3 - \sqrt{19}}{5}

Learn more about the quadratic formula here:

brainly.com/question/28105589

brainly.com/question/27953354

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