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KIM [24]
4 years ago
15

Rationalize the expression and simplify.

id="TexFormula1" title="\frac{\sqrt{4+h}-2 }{h}" alt="\frac{\sqrt{4+h}-2 }{h}" align="absmiddle" class="latex-formula">

Mathematics
1 answer:
MAXImum [283]4 years ago
5 0
You multiply by the conjugate to both the denominator and numerator.
After that you can simplify by canceling the 4 and then you are able to simplify the (h) as well.

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7 0
2 years ago
X-y+z=-4<br><br> 3x+2y-z=5<br><br> -2x+3y-z=15<br><br> How do I solve this?
Lera25 [3.4K]
1)\ \ \ x-y+z=-4\ \ \ \Rightarrow\ \ \ z=-4-x+y\\\\2)\ \ \ 3x+2y-z=5 \\.\ \ \ \  \Rightarrow\ \ 3x+2y-(-4-x+y)=5 \\.\ \ \ \  \Rightarrow\ \ 3x+2y+4+x-y=5 \\.\ \ \ \  \Rightarrow\ \ 4x+y=1\\\\3)\ \ \ -2x+3y-z=15\\.\ \ \ \  \Rightarrow\ \ -2x+3y-(-4-x+y)=15\\.\ \ \ \  \Rightarrow\ \ -2x+3y+4+x-y=15\\.\ \ \ \  \Rightarrow\ \ -x+2y=11\\--------------------\\

z=-4-x+y\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ and\\ \left \{ {{4x+y=1\ \ \ \ } \atop {-x+2y=11\ /\cdot4}} \right. \\\\\left \{ {{4x+y=1\ \ \ \ } \atop {-4x+8y=44}} \right. \\-------\\y+8y=1+44\\9y=45\ /:9\\y=5\\\\-x+2y=11\ \ \ \Rightarrow\ \ \ x=2y-11\ \ \ \Rightarrow\ \ \ x=2\cdot5-11=-1\\\\z=-4-x+y=-4-(-1)+5=-4+1+5=2\\\\Ans.\ x=-1\ \ \ and\ \ \ y=5\ \ \ and\ \ \ z=2
5 0
3 years ago
the population of a town increases by 8% annually if the present population is 54000 what was it a year ago?
yKpoI14uk [10]

Answer:

49680

Step-by-step explanation:

Multiply 54,000 by 92%. 100%(this years population)-8%=92%

54000*0.92 = 49680, people one year ago.

8 0
3 years ago
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