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2 years ago

Simplify (x+2)^2 divided by x+2

Mathematics

2 answers:

Lerok [7]2 years ago

8 0

Its the same as
(x+2)(x+2)
so (x+2)(x+2) divided by (x+2)
is just (x+2)

Gennadij [26K]2 years ago

7 0

(x+2)^2=(x+2)(x+2)
remember
25/5=5 aka
(5^2)/5=5
so
(x^2)/x=x

((x+2)^2)/(x+2)=x+2

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If dy/dx equals xy squared and if y = 1 when x = 0, then when y = 3, x is equal to?

S_A_V [24]

This is a separable differential equation, so let's start of there. Let's separate the variables to their own side with the respective differentials:
$\frac{dy}{dx} = xy^2$
$dy = (xy^2) dx$
$\frac{1}{y^2} dy = x dx$

Let's integrate both sides (it's separable, so we can do this):
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Now, let's plug in the values we are given to find the constant "C":
$- \frac{1}{1} =\frac{0^2}{2}+C$
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Let's rewrite the equation, with C in it, then solve for x because we need to ultimately find x:
$- \frac{1}{y} = \frac{x^2}{2} - 1$
$x = \sqrt{2(- \frac{1}{y}+1)}$

Let's plug in y = 3 and solve for x:
$x = \sqrt{2(- \frac{1}{3}+1)} = \sqrt{ 2( \frac{2}{3}) } = \sqrt{ \frac{4}{3} }$

Let's simplify and rationalize the denominator:
$x = \sqrt{ \frac{4}{3}} = 2 \sqrt{ \frac{1}{3}} = 2 \frac{ \sqrt{3} }{3}$

So, your answer is D.

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And rounded up we have that n=1068

Step-by-step explanation:

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$ME=0.03$ the margin of error desired

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