Answer:
Sabemos que una función lineal es de la forma:
f(x) = m*x
Mientras que una funcion afin es de la forma:
g(x) = m*x + n
Entonces para reconocer si una función es lineal o afín, simplemente debemos ver si tenemos un término constante o no (un término constante es un término que no está siendo multiplicado por la variable x).
a) y = -5*x
No tenemos término constante, entonces es una función lineal.
b) y = -3*x - 2
Acá tenemos un término constante igual a -2, entonces esto es una función afín.
c) y = 2*x + 4
Acá tenemos un término constante igual a 4, entonces esto es una función afín.
d) y = (1/4)*x - 2
Acá tenemos un término constante igual a -2, entonces esto es una función afín.
The answer to problem #2 is,
( x , y ) ==> ( - x , - y )
All of them were rotated 180° clockwise which is the same as 180° counterclockwise.
~~
I hope that helps you out!!
Any more questions, please feel free to ask me and I will gladly help you out!!
~Zoey
Answer:
The area of this triangle would be 24.
Step-by-step explanation:
In order to find this, we need to first determine what to use as the base of the triangle. Since when we draw it, the line between G and H is a flat line, it is the easiest to use as a base. Finding the length of the base is easy because we are simply looking for the difference in the x values.
6 - -2 = 8 = base
Now that we have the base, we need to find the height. The height is always the perpendicular line from the 3rd point to the base line. In this case, this would just be the change in y from the other two.
5 - -1 = 6 = height
Now that we have those two distances, we can just use the triangle formula.
A = 1/2bh
A = 1/2(8)(6)
A = 24
Answer:
quarts
12 days
Step-by-step explanation:
Given that:
Amount of water leaked in 4 days = 3 quarts
To find:
Number of quarts leaked in 1 week?
Number of days taken for the leakage of 9 quarts of water?
Solution:
We can simply use unitary method or the ratio to find the answers of the questions asked in the statement.
As per question statement:
Amount of water leaked in 4 days = 3 quarts
Dividing by 4 on both sides:
Amount of water leaked in 1 day = 
quarts
Multiplying by 7 on both sides:
Amount of water leaked in 7 days = 
quarts
Number of days taken for the leakage of 3 quarts = 4 days
Multiplying by 3 on both sides:
Number of days taken for the leakage of 3 
3 = 9 quarts = 4 3 = <em>12 days</em>
