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Goryan [66]
2 years ago
8

PLEASE HELP I DONT GET IT AT ALL. PLEASEEE I’d really appreciate it. I’ll mark brainliest.

Mathematics
1 answer:
weeeeeb [17]2 years ago
4 0

Answer:

3768

Step-by-step explanation:

The question is asking for the volume of the "cylinder" straw.

1cm = 10mm

30cm = 300mm

Volume of a cylinder = \pi r^2h

The radius is half of the diameter = 4/2 = 2

Radius squared is 4

Height is 300mm

1200mm * 3.14 = 3768

I am not very sure, since I am not that familiar with cylinders. Sorry if this is wrong.

Hope this helps :)

Have a great day!

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Answer:

\large \text{$x_1$}=-\dfrac{7}{4}, \large \text{$x_2$}=\dfrac{1}{2}

Step-by-step explanation:

Given: 8x² + 10x - 7 = 0

<u>When factoring trinomials of the form ax² + bx + c</u>:

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1. Split the middle term:

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⇒ 8x² + 14x - 4x - 7 = 0 [rewrite with those factors replacing the middle term.]

2. Factor by grouping:

⇒ 8x² + 14x - 4x - 7 = 0 [factor out 2x]

⇒ 2x(4x + 7) - 4x - 7 = 0 [factor out -1 or the negative sign]

⇒ 2x(4x + 7) -1(4x + 7) = 0 [factor out 4x + 7]

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3. Separate into 2 cases:

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<u><em>Case 1:</em></u>

⇒ 4x + 7 = 0 [subtract 7 from both sides]

⇒ 4x + 7 - 7 = 0 - 7

⇒ 4x = -7 [divide both sides by 4]

⇒ 4x ÷ 4 = -7 ÷ 4

⟹ x = \bold{-\dfrac{7}{4}}

<u><em>Case 2:</em></u>

⇒ 2x - 1 = 0 [subtract 1 from both sides]

⇒ 2x - 1 + 1 = 0 + 1

⇒ 2x = 1 [divide both sides by 2]

⇒ 2x ÷ 2 = 1 ÷ 2

⟹ x = \bold{\dfrac{1}{2}}

Solutions:

\large \text{$x_1$}=-\dfrac{7}{4}, \large \text{$x_2$}=\dfrac{1}{2}

Learn more about quadratic equations here:

brainly.com/question/27750885

brainly.com/question/27739892

brainly.com/question/27638369

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