Answer:
x=11.2
Step-by-step explanation:
So, to solve for x you have to use pythag Theorem. X is the hypotenuse
If you separate this shape into two parts, splitting the slant portion and the rectangle part. You will have a right triangle, and then you would find all the legs of the triangle.
The shorter leg, which is on the left side. Since the left side including the slanted part is 13 and we had to split the shape the shorter leg would equal 5
13-8=5.
And since the longer leg has the same length as the rectangle, which is 10. You would take both these numbers.
then, Square them and add them. So, 5x5=25
and 10x10=100
100+25=125 afterwards you find the square root. 
Let's think about the information in the problem. The problem tells us a few key points:
- The number of rabbits grows exponentially
- We start with 20 rabbits (
, 
) - After 6 months (
), we have 100 rabbits (
)
Since we know we are going to be working with an exponential model, we can start with a base exponential model:
is the principal, or starting amount
is the growth/decay rate (in this case, growth)
is the number of months
is the number of rabbits
Based on the information in the problem, we can create two equations:
The first equation tells us that 
, or that we start with 20 rabbits. Thus, we can change the second equation to:
Now, we don't know , but we want to, so let's solve for it.
![r = \sqrt[6]{5}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B6%5D%7B5%7D)
Now, the problem is asking us how many rabbits we are going to have after one year (
), so let's find that:
![a = 20 \cdot (\sqrt[6]{5})^{12}](https://tex.z-dn.net/?f=a%20%3D%2020%20%5Ccdot%20%28%5Csqrt%5B6%5D%7B5%7D%29%5E%7B12%7D)
After one year, we will have 500 rabbits.
As a fraction: 287/100
As a mixed number: 2 87/100
_____
Remember, "%" means exactly the same thing as "/100".
Answer:
(2x+5y)-10(z-3) We'll multiply the right side term
(2x+5y) -10 * (z-3) then we'll add the terms:
2x + 5y -10z + 30
Step-by-step explanation:
Answer:
Great job!
Step-by-step explanation:
