Similar polygons are made through scaling either by stretching or squeezing the sides all by a common ratio. Here, the size changes. Congruent polygons are made by shifting or reflecting their position. Here, the size does not change.
Choice A has a dilution (or squeezing) and a translation (shifting). That makes similar polygons.
Choice B has a rotation. Nope.
Choice C has a shifting and a reflection. Nope.
Choice D has a rotation and shifting. Nope.
Thus choice A is best.
Answer:
Step-by-step explanation:
High in the Rocky Mountains, a biology research team has drained a lake to get rid of all fish. After the lake was refilled, they stocked it with an endangered species of Greenback trout. Of the 2000 Greenback trout put into the lake 400 were tagged for later study. An electroshock method is used on individual fish to get a study sample. However, this method is hard on the fish. The research team wants to know the smallest number of fish that must be electroshocked to be at least 50% sure of getting a sample of two or more tagged trout.
we have to find out smallest number fish (n) that must be electroshoked to be atleast 50% &
species of Greenback trout of the 2000 greenback trout put into the lake 400
Answer:
Product (multiplication) of 2a+3b-c and 2a+3b-c is −2ac+2a+6b−c.
Explanation:
2a+3b−c(2)a+3b−c
= 2a+3b+−2ac+3b+−c
Combine Like Terms:
= 2a+3b+−2ac+3b+−c
= (−2ac)+(2a)+(3b+3b)+(−c)
= −2ac+2a+6b+−c
Given:
The expression is:
To find:
The resulting polynomial in standard form.
Solution:
We have,
Write subtraction of a polynomial expression as addition of the additive inverse.
Rewrite terms that are subtracted as addition of the opposite.
Group like terms.
![[6m^5+m^5]+[3+(-6)]+[(-m^3)+(-2m^3)]+[(-4m)+4m]](https://tex.z-dn.net/?f=%5B6m%5E5%2Bm%5E5%5D%2B%5B3%2B%28-6%29%5D%2B%5B%28-m%5E3%29%2B%28-2m%5E3%29%5D%2B%5B%28-4m%29%2B4m%5D)
Combine like terms.
On simplification, we get
Write the polynomial in standard form.
Therefore, the required polynomial in standard form is .
