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3 years ago

Solve by using the quadratic formula 2x^2-4x=3

Mathematics

1 answer:

Sloan [31]3 years ago

4 0

Answer:

±√14

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Step-by-step explanation:

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a farmers packs 46 apples into trays for market.Each tray holds 6 apples.how many apples are in partially filled tray

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3 years ago

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Svet_ta [14]

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3 years ago

A homeowner wants to build a circular patio. if the diameter of the patio is 20 feet, what is its area to the nearest whole numb

andreyandreev [35.5K]

We are asked to find the area of patio. It is circular so formula used for area is given by:
$A= r^{2} \pi$
Where
r = radius = diameter / 2 = 20 / 2 = 10 feet

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When we round this to the nearest whole number:
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4 years ago

Find all solutions to the equation in the interval [0,2pi). Enter the solutions in increasing order. Cos 2x = cos x

goblinko [34]

Step-by-step explanation:

$\cos(2x) = \cos(x)$

$\cos {}^{2} (x) - \sin {}^{2} (x) = \cos(x)$

$\cos {}^{2} (x) - (1 - \cos {}^{2} (x) ) = \cos(x)$

$2 \cos {}^{2} (x) - 1 = \cos(x)$

$2 \cos {}^{2} (x) - \cos(x) - 1 = 0$

$2 \cos {}^{2} (x) - 2 \cos(x) + \cos(x) - 1 = 0$

$2 \cos(x) ( \cos(x) - 1) + 1( \cos(x) + 1)$

$(2 \cos(x) + 1)( \cos(x) - 1) = 0$

$2 \cos(x) + 1 = 0$

$2 \cos(x) = - 1$

$\cos(x) = - \frac{1}{2}$

$x = \frac{2\pi}{3} ,x = \frac{4\pi}{3}$

$\cos(x) - 1 = 0$

$\cos(x) = 1$

$x = 0$

So our answer are

$0, \frac{2\pi}{3} , \frac{4\pi}{3}$

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2 years ago

Mr. Morris is going to save money and replace his sailboat's mainsail himself. He must determine the area of the mainsail in ord

murzikaleks [220]

Hi there!

The problem statement describes the dimensions. The base length is 15 ft; the height is 10 ft.

The area of a parallelogram is the product of base length and height, just as it is for a rectangle.

A = bh

A = (15 ft)(10 ft) = 150 ft²

Mr Morris should purchase 150 ft² of material.

_____

If you compare the area to a 15 ft by 10 ft rectangle, you see the "excess" triangle at the left end just matches the "missing" triangle at the right end. The A=bh formula still works even if the top and base are offset by more than the width of the base.

~SharkieOwO~

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3 years ago