![ronaa](/avatars/40555.jpg)
ronaa
07.01.2022 •
Mathematics
Can someone plez help me I’m a freshman and this is homework
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Ответ:
Skills needed: Combining Like Terms, Triangle Area
Step-by-step explanation:
1) First, let's understand two important concepts:
---> The area of a triangle:
The base is one of the sides of the triangle, and the height is perpendicular to the base and connects to a vertex usually opposite of the base.
Perpendicular means to intersect at a right angle (that square thing that is drawn into the diagram signifies a right angle).
---> Combining Like Exponent Terms
Let's say we have:
and ![a^c](/tpl/images/2612/6250/72edd.png)
If we are multiplying, we are doing![a^b * a^c](/tpl/images/2612/6250/9d539.png)
Example:![2^4*2^2=2^{4+2}=2^6](/tpl/images/2612/6250/5c6cf.png)
Think about it: 2 to the 4th power is 16, and 2 squared is 4. When multiplying those together you get 16 * 4 = 64. The method above yields the same answer.
2) Now, let's apply these two concepts to the problem shown. We are given a base (
) and a height perpendicular to the base (
).
---> Let's substitute in for the formula:![\frac{1}{2} * 20m^3n^5 * 4mn^5](/tpl/images/2612/6250/634c1.png)
Let's combine like terms now:
Now let's combine the exponent parts
We can split into two groups for the two different variables (
)
--->
can be combined (remember
) --> ![m^3*m=m^3*m^1=m^4](/tpl/images/2612/6250/73f21.png)
--->
can be combined --> ![n^5*n^5=n^{10}](/tpl/images/2612/6250/7228a.png)
So we have:
as the answer.
You can take out the multiplication signs:![40m^4n^{10}](/tpl/images/2612/6250/404ca.png)
(When you have unlike terms, you do not need to separate with multiplication signs)
Ответ:
Point R