(12/10) / (21/6) =
12/10 * 6/21 =
72/210 =
12/35 <==
Put the numbers from smallest to largest
1,2,5,8,10,15,16,20,22
subtract 22 from 1 to give you 21
the range is 21
This is the concept of application of geometry; the distance that the ladder should be placed will be given by Pythagorean theorem.
thus;
c^2=a^2+b^2
where, c=hypotenuse, a and b are the legs
hence;
15^2+12^2+b^2
b^2=15^2-12^2
b^2=225-144
b^2=81
getting the square root of both sides;
b=sqrt81
b=9
therefore the ladder should be placed 9 feet from the wall for it to reach 12 feet up the building
Answer:
We could start with the simpler function f(x) = IxI and construct the other function using transformations.
First, an horizontal translation of A units to the right is written as:
g(x) = f(x - A)
And an vertical translation of A units up, is written as:
g(x) = f(x) + A.
Where A is positive and this works for any function f(x).
Then in this case, if we start with:
f(x) = IxI and:
g(x) = Ix - 2I -3
Then:
First we do an horizontal translation of 2 units to the right.
g(x) = f(x - 2) = Ix - 2I
Then we do a vertical translation of -3 units up (or a translation of 3 units down)
g(x) = f(x - 2) - 3 = Ix - 2I - 3
Those two transformations are the ones that relate the graphs of g(x) and f(x)
Add 6+3 , and than put ft2