First, we draw our line.
|------------------------------------------------------------------------------------|
a e
Next, break up this line into segments using the information.
|----------------------|----------------------|--------------------|------------------|
a b c d e
The entire line is 29.
ab + bc + cd + de = ae
ab + bc + cd + de = 29
You also know that
bd = bc + cd
Due to midpoint theorem,
ab = bc
cd = de
Then,
2ab + 2cd = 29
The equations we will use are
bd = bc + cd eq1
2bc + 2cd = 29 eq2
Dividing both sides of the equation in eq2 yields
bc + cd = 14.5
bd = bc + cd
bd = 14.5
If you have a function y = f(x), the transformation along the x-axis is given by:
y = f(x+a) ⇒ This is the translation to the LEFT by 'a' units
y = f(x-a) ⇒ This is the translation to the RIGHT by 'a' units
So you have, f(x) = 5ˣ, translated 4 unit right will give g(x) = 5⁽ˣ⁻⁴⁾
Answer:
x=28
Step-by-step explanation:
I am assuming the mean is arithmetic mean. So we first add up the numbers:
6+10+12+18+16+x
=22+10+30+x
=22+40+x
=62+x
Then since there's 6 numbers in total, we have an equation:

The answer is 28!
Have a nice day! :)
Answer:
33.33%
Step-by-step explanation:
% increase : new value - old value/old value * 100%
1200 - 900/900 * 100% (to make it easier, cut the zeros the best
you can)
300/ 9
= 33.33 or 33 1/3%