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\fdO'^ - Old Forge Coal Mines

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ALGEBRA.<br />

(QUESTIONS 218-257.)<br />

(218) {a) According to Art. 628, .arl expressed radically<br />

is V^;<br />

Zx^y'^ expressed radically is 3 \/xy-* ;<br />

3^^ Jo-l _ 3^;fjj/-V, since s' = -cl Ans.<br />

3^4<br />

*' 1 . .1 a c<br />

a c' {a -{- d)<br />

in — n b*<br />

{c) ^'=:x\ Ans. ^' = x'\ Ans.<br />

{{/^^y = i^^^'^y = b'^xK Ans.<br />

'<br />

Ans.<br />

(219) 3i/^=i/l89. Ans. (Art. 542.)<br />

d'b'/Ifc = \/ a*b'c . Ans. %x\G = \/^a'\ Ans.<br />

(220)<br />

Let ;r = the length of the post.<br />

X<br />

Then, — = the amount in the earth.<br />

^x = -jr- the amount in the water.<br />

^i.±- + 13 = x.<br />

Itx + 15.r + 455 = 35^:.<br />

- 13.t' = - 455.<br />

;f = 35 feet. Ans.<br />

In order to transform this formula so that /, may stand<br />

alone in the first member, we must first clear of fractions.<br />

Clearing of fractions, we have

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