For number 1)
you must first split the figure, so subtract the 8 mm from 12 mm to find the width.... = 4mm
so you use the numbers 10 x 2 x 4 = 80 mm
and 2 x 8 x 3 = 48 mm
80 mm + 48 mm = volume of the figure
Answer: 99 different faces
Step-by-step explanation:
Since a witness can clearly remember the hairline and the eyes and eyebrows of a suspect, and the
basic identification kit contains 195 hairlines, 99 eyes and eyebrows, the number of different faces that can be produced with this information will be 99
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: C
Step-by-step explanation: your fast answer is C.
