Mathematics: The solution set for negative 2x^2 + 12x=0

The solution set for negative 2x^2 + 12x=0 - id221203740442, nacgrading3p6d8pf

Ответ:

naomicervero

09.01.2022

x = -6

Step-by-step explanation:

$2x^2+12x=0\qquad\text{divide both sides by 2}\\\\x^2+6x=0\\\\x(x+6)=0\iff x=0\ \vee\ x+6=0\qquad\text{subtract 6 from both sides}\\\\x=0\ \vee\ x=-6$

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Ответ:

mrym7d

22.06.2020

Mathematics

F = 211312.5ft/lb.

Step-by-step explanation: Hydrostatic pressure is pressure caused by a fluid due to the force of gravity. It is calculated following the formula:

P = ρgh.

ρ is the fluid density (62.5 lb/ft³);

g is the gravitacional acceleration( 32.2ft/s²);

h is the height of the fluid columm;

P = 62.5.32.2.h

Pressure at h = 1ft:

P = 62.5.32.2.1

P = 2012.5 psi.

Now, hydrostatic force is F = $\frac{P}{A}$

The pressure exerted on the surface is not constant. It depends on the height. So, to evaluate the force:

dF = P(h) dA

Since it a rectangular plate, dA = w.dh, where w is its width and equals 6 and dh is its height element.

That gives: dF = P(h)w.dh

$\int\limits^a_b {2012.5hw} \, dh$ = 2012.5.6. $\int\limits^6_1 {h} \, dh$ = 2012.5.6( $\frac{h^{2} }{2}$ ) = 12075( $\frac{6^{2} }{2} - \frac{1^{2} }{2}$ ) = 211312.5ft/lb.

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The solution set for negative 2x^2 + 12x=0

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