use the distributive property
combine alike terms
add the negative number to the other side
combine alike terms
then divide on both sides to get the variable by itself
What is inside the square root? Is it just the root of x? Or is it ROOT(x-4) + 5 = 2?
Stationary points occur where the derivative is zero. The denominator is positive for all
, so we only need to worry about the numerator.
for all
, so we can divide through:
But
for all
, so this function has no stationary points...
I suspect there may be a typo in the question.
Answer:
I'm not the greatest at math but I'll see if I can get this right.
I'm super sorry if this is wrong
It's not rigid because dilations (scale factor not equal to 1) change the length of the segments, or the distances between the points. You'll get a similar figure but it won't be congruent. For example, if the scale factor is 3, then the distances will be three times as large; or the lengths will be 3 times as long.
To be "rigid", the lengths must be kept the same. In contrast, a reflection is rigid because the distances are kept the same. The only thing changing is the orientation (clockwise to counter-clockwise, or vice versa).
