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3 years ago

Find the value of x and if necessary, express answer in simplest radical form.

Mathematics

1 answer:

antiseptic1488 [7]3 years ago

8 0

Writing and solving an equation of ratios is the way to go here. See if you can figure out why the following is correct:

x+3 x
----- = -------
12 x+3

Then (x+3)^2 = 12x, and x^2 + 6x + 9 = 12x, so that x^2 - 6x + 9 = 0

This is the square of (x - 3). Thus, x-3 = 0, and x = 3.

The value of x is 3.

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Maya is camping at the top of mount armstrong at an elevation of 7832 meters. Juan is scuba diving 160 meters below sea level. T

NNADVOKAT [17]

Answer: 3996 meters

Step-by-step explanation:

Given: Maya is camping at the top of mount armstrong at an elevation of 7832 meters.

Consider the pont of sea level be 0.

Then the height of the point where Mary is = +7832 meters (by using integers)

Juan is scuba diving 160 meters below sea level.

⇒The height of the point where Juan is =-160 meters

The distance between them = $7832-(-160)=7832+160=7992\ meters$

The mid point of the distance= $\frac{1}{2}\times7992=3996\ meters$

Hence, Maya & Juan meet will meet at an elevation of 3996 meters .

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3 years ago

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Goryan [66]

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The denominator is always positive, so any $x$ for which $f''(x)=0$ is determined only by the numerator:

$2x^3-12x=0\implies f''(x)=0$
$2x^3-12x=2x(x^2-6)=2x(x-\sqrt6)(x+\sqrt6)=0\implies x=0,\pm\sqrt6$

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Step-by-step explanation:

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