B) Parallelogram JKLM is translated and then dilated
as well as c
C) Parallelogram JKLM is dilated and translated
C is the best answer because is size is changing. In all the others nothing is changing except the position which remains congruent and similar but C does not . The sizes changes which makes them not congruent but still similar.
Answer:
x =550
y=250
Step-by-step explanation:
.2x + .04y = 120
x + y = 800
Answer:
The vertex of this parabola, 
, can be found by completing the square.
Step-by-step explanation:
The goal is to express this parabola in its vertex form:
,
where 
, 
, and 
are constants. Once these three constants were found, it can be concluded that the vertex of this parabola is at 
.
The vertex form can be expanded to obtain:
.
Compare that expression with the given equation of this parabola. The constant term, the coefficient for 
, and the coefficient for 
should all match accordingly. That is:
.
The first equation implies that is equal to 
. Hence, replace the "
" in the second equation with 
to eliminate 
:
.
.
Similarly, replace the "" and the "" in the third equation with and 
, respectively:
.
.
Therefore, 
would be equivalent to 
. The vertex of this parabola would thus be:
.
Answer:
it is C
Step-by-step explanation:
Answer:
Mauricio nació en el año 2000.
Step-by-step explanation:
Supóngase que el cumpleaños se celebra en el año 2020, si es la edad actual de Mauricio, entonces la expresión matemática que traduce el enunciado del problema es:
Ahora, se desarrolla y se simplifica la ecuación:
Se despeja :
Mauricio tiene 20 años.
Ahora, el año de nacimiento de Mauricio es la sustracción de la edad de Mauricio del año actual:
Mauricio nació en el año 2000.
