Question 633640
Problem # 1: In this problem it asks to find the vertex, the line symmetry, and the maximum or minimum value of f(x). Graph the function. f(x)=1/3(x+6)^2+4. 
This is in standard form, y = a(x-h)^2 + k, where (h,k) is the vertex, and x = h is the LOS.
-----
The minimum is at the vertex, (h,k) = (-6,4).
==================================================
Problem # 2: Find the variation constant and equation of variation where y varies directly as x and y=12 when x=2.
y = kx
12 = 2k
k = 6
===================
Problem #3: Rationalize the denominator. Assume that all expressions under radicals represent positive numbers. sq rt u-sq rt /sq rt u+sq rt v
Multiply NUM and DEN by the conjugate of the DEN, {{{sqrt(u) - sqrt(v)}}}
----------
The NUM has a missing term, probably is sqrt(v)
--> {{{(sqrt(u)-sqrt(v))^2/(u-v)}}}
You can expand the NUM, or not.
--------------------------------
Problem #4: Convert to decimal notation. 8.91*10^7
Move the DP 7 places to the right, adding zeroes as needed.
= 89100000
===============
Problem #5: In a right triangle, find the length of the side not given. b=1, c=sq rt 10. The third length of the third side is?
If c is the hypotenuse, then
{{{a^2 + 1 = 10}}}
a = 3