Triangle ABC is translated 3 units right and 2 units up
by looking at point A (-4,5) which is translated to A'(-1,7)
we can tell by looking at the points that -4 is shifted by 3 units to the right ti reach -1 and 5 is shifted upwards by 2 units to reach 7
Answer:
The answer is
.
Step-by-step explanation:
First, it is important to recall that the group law is not commutative in general, so we cannot assume it here. In order to solve the exercise we need to remember the axioms of group, specially the existence of the inverse element, i.e., for each element
there exist another element, denoted by
such that
, where
stands for the identity element of G.
So, given the equality
we make a left multiplication by
and we obtain:

But,
. Hence,
.
Now, in the equality
we make a right multiplication by
, and we obtain
.
Recall that
and
. Therefore,
.
7x +16 < -5(4 - 5x)....given
7x + 16 < -20 + 25x....distributive property
16 < -20 + 18x ... subtraction property
16 + 20 < 18x.....addition property
36 < 18x
36/18 < x.....division property
2 < x
Answer:
18
Step-by-step explanation:
when there is a - in front of an expression in parentheses, change the sign of each term in the expression
6+14+(-2)
then calculate the sum or difference
6+14-2= 18
Answer:
x1 = 2
x2 = -1/3
Step-by-step explanation:
3x^2-5x-2=0
D=25-4*(-2)*3 = 25 + 24 = 49 --> sqrt 49 = 7
x1 = 5 + 7 / 2*3 = 2
x2 = 5 - 7 / 2*3 = -1/3