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zlopas [31]
3 years ago
11

Factor the polynomial? 2x^2+4x^2+6x^3

Mathematics
1 answer:
tatiyna3 years ago
3 0
2 x^{2} + 4 x^{2} + 6 x^{3}
= 6 x^{2} + 6 x^{3}
= 6 x^{2} (1 + x)
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What is the area of the regular hexagon with a side length of 3 cm and an apothem of 2.6 cm? A. 15.6 cm2 B. 23.4 cm,2 C. 46.8 cm
yarga [219]
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=( 7.8/2) x6
= 3.9 x 6                The answer is B. 23.4cm 
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Rewrite the statement in mathematical notation. (Let y be the distance from the top of the ladder to the floor, x be the distanc
In-s [12.5K]

Answer:

\frac{dy}{dt}=\frac{6y}{x}\text{ ft per sec}

Step-by-step explanation:

Let L be the length of the ladder,

Given,

x = the distance from the base of the ladder to the wall, and t be time.

y = distance from the base of the ladder to the wall,

So, by the Pythagoras theorem,

L^2 = y^2 + x^2

\implies L = \sqrt{y^2 + x^2},

Differentiating with respect to time (t),

\frac{dL}{dt}=\frac{d}{dt}(\sqrt{x^2 + y^2})

=\frac{1}{2\sqrt{x^2 + y^2}}\frac{d}{dt}(x^2 + y^2)

=\frac{1}{2\sqrt{x^2 + y^2}}(2x\frac{dx}{dt}+2y\frac{dy}{dt})

=\frac{1}{\sqrt{x^2 +y^2}}(x\frac{dx}{dt}+y\frac{dy}{dt})

Here,

\frac{dy}{dt}=-6\text{ ft per sec}

Also, \frac{dL}{dt} = 0           ( Ladder length = constant ),

\implies \frac{1}{\sqrt{x^2 +y^2}}(x(-6)+y\frac{dy}{dt})=0

-6x + y\frac{dy}{dt}=0

y\frac{dy}{dt}=6x

\implies \frac{dy}{dt}=\frac{6y}{x}\text{ ft per sec}

Which is the required notation.

8 0
3 years ago
Solve for Y!!!!!!!<br>12x+16y=96​
Veseljchak [2.6K]

12x + 16y = 96

Subtract 12x from both sides

16y = 96 - 12x

Divide each side by 16

y = 6 - 0.75x

8 0
3 years ago
Is 0.8-3 equal to -2.2
Marysya12 [62]

Answer:

Yes, they are equal.

Step-by-step explanation:

-3.0 + 0.8 = -2.2

<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em>

8 0
2 years ago
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