Carrie has 135
Eve has 112
Answer:
Expand the polynomial using the FOIL method.
6x2−22x+12
Step-by-step explanation:
3 sin x = 2 ( 1 - sin² x )
3 sin x = 2 - 2 sin² x
2 sin² x + 3 sin x - 2 = 0
Substitution: t = sin x
2 t² + 3 t - 2 = 0
t 1/2 =

t 1 = 1/2
t 2 = - 2 ( this solution is not acceptable )
sin x = 1/2
Answer:
x 1 = π / 6 + 2 kπ, x 2 = 5 π / 6 + 2 k π, k ∈ Z
Given:
The graph of a translation. X'Y' is a translation of XY.
To find:
The rule of the translation.
Solution:
Let the rule of the translation be
...(i)
So, we need to find the value of a and b.
From the given graph, it is clear that X(-4,-9) and X'(-1,0).
Using (i), the image of X(-4,-9) is
We have, X'(-1,0). So,

On comparing both sides, we get



And,


So, the missing values in the rule of the translation are 3 and 9 respectively.
Therefore, the rule of translation is
.