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2 years ago

Please help me thank you

Mathematics

1 answer:

Phantasy [73]2 years ago

3 0

The answer is B. The second one

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Factor the expression completely over the complex numbers.<br><br> y^4+12y^2+36

Brums [2.3K]

Y⁴ + 12y² + 36
Now factorize the expression
y⁴ + 6y² + 6y² + 36
= y²(y² + 6) + 6(y² + 6)
= (y² + 6) (y² + 6)
<span>Now 6 is not the perfect square and according to rule, binomial can not be factored as the difference of two perfect squares.
</span>so multiply both.
(y² + 6)² is the answer.

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3 years ago

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KengaRu [80]

Yes, angle B and angle D are equal, so it is true

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2 years ago

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Water is added to a cylindrical tank of radius 5 m and height of 10 m at a rate of 100 L/min. Find the rate of change of the wat

nirvana33 [79]

Answer:

$V = \pi r^2 h$

For this case we know that $r=5m$ represent the radius, $h = 10m$ the height and the rate given is:

$\frac{dV}{dt}= \frac{100 L}{min}$

$Q = 100 \frac{L}{min} *\frac{1m^3}{1000L}= 0.1 \frac{m^3}{min}$

And replacing we got:

$\frac{dh}{dt}=\frac{0.1 m^3/min}{\pi (5m)^2}= 0.0012732 \frac{m}{min}$

And that represent $0.127 \frac{cm}{min}$

Step-by-step explanation:

For a tank similar to a cylinder the volume is given by:

$V = \pi r^2 h$

For this case we know that $r=5m$ represent the radius, $h = 10m$ the height and the rate given is:

$\frac{dV}{dt}= \frac{100 L}{min}$

For this case we want to find the rate of change of the water level when h =6m so then we can derivate the formula for the volume and we got:

$\frac{dV}{dt}= \pi r^2 \frac{dh}{dt}$

And solving for $\frac{dh}{dt}$ we got:

$\frac{dh}{dt}= \frac{\frac{dV}{dt}}{\pi r^2}$

We need to convert the rate given into m^3/min and we got:

$Q = 100 \frac{L}{min} *\frac{1m^3}{1000L}= 0.1 \frac{m^3}{min}$

And replacing we got:

$\frac{dh}{dt}=\frac{0.1 m^3/min}{\pi (5m)^2}= 0.0012732 \frac{m}{min}$

And that represent $0.127 \frac{cm}{min}$

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3 years ago

I’m having trouble expressing my answer in algebraic notation

andre [41]

$\bf -2x-4\le -4x+4\implies -2x\underline{+4x}-4 \le -4x\underline{+4x}+4
\\\\\\
2x-4\le 4\implies 2x-4\underline{+4}\le 4\underline{+4}\implies 2x\le 8
\\\\\\
x\le \cfrac{8}{2}\implies x\le 4$

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3 years ago

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match the systems of linear equations with their

puteri [66]

Hello,
Please, see the detailed solution in the attached files.
Thanks.

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3 years ago