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nikitadnepr [17]
3 years ago
10

If (a,a + square root 3) lies on the graph of y=2x, then a = ?

Mathematics
2 answers:
xz_007 [3.2K]3 years ago
7 0
If the point
(a \:  \: a \sqrt{3} )
lies on
y = 2x
then it must satisfy it.

That is

a +  \sqrt{3}  = 2(a)
\rightarrow  \: a  +  \sqrt{3}  = 2a


Grouping like terms we have,

\sqrt{3}  = 2a - a
\therefore \: a =  \sqrt{3}

Ad libitum [116K]3 years ago
5 0

Start with y = 2x.  Subst. a for x and a+sqrt(3) for y:

a+sqrt(3) = 2a

Subtracting a from both sides:  sqrt(3) = a

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