80x 40 x 20 feet is your answer! Hope this helps
The coordinates of the school is now (5,7).
Answer: h(x) = 3^(-x/4)
Step-by-step explanation:
If we have a function f(x), an horizontal stretch of scale factor k is written as:
g(x) = f(x/k)
So, if we have the function f(x) = 3^x
A horizontal stretch of scale factor 4 is:
g(x) = f(x/4) = 3^(x/4)
Now we have a reflection across the y-axis
If we have a function f(x), a reflection across the x-axis is written as:
g(x) = f(-x)
Then if now we apply a reflection across the y-axis to the function g(x), we have:
h(x) = g(-x) = 3^(-x/4)
Then the transformation that we wanted is:
h(x) = 3^(-x/4)
Answer:
3/22
Step-by-step explanation:
There's a very neat trick for this kind of problem.
First, choose a letter to represent the number.
n = 0.1363636...
Observe that there is a 2-digit block that repeats ("36"), but that block does not repeat immediately to the right of the decimal point. Do two muliplications, one to put the decimal point in front of the repeating block, the other to put the decimal point after the block.
10n = 1.363636...
1000n = 136.363636...
Here comes the cool part: subtract the first equation from the second.
990 n = 135 See? The repeating decimal parts, all lined up as they are, subtract to zeros.
Finally, n = 135/990 = 15/110 = 3/22
