Answer: Assuming the a2 is a with an exponent of 2 and a3 is a with an exponent of 3, the answer is 2a^6-2a^5
Step-by-step explanation: the number after the ^ means to the power of
Answer:
x = 24.
r 
0.
Step-by-step explanation:
2. The given equation is:
a) To eliminate the fractions multiply the equation throughout by the LCM of the denominators of the fraction. In this case, the LCM of (2, 3). The LCM is 6. So, multiply the entire equation by 6.
b) Half of the difference between an integer and 4 equals the sum of one - third of the integer and 2. Find the integer.
c) We have the equation:
Multiplying throughout by 6, we get:
Therefore, the solution of the equation is 24.
3. The given equation is: 
To solve for y:
We can rearrange the equation as:
or, 
Note that we have to impose a condition on variable 
. It would be that can never be zero. i.e., 
. Otherwise, the value of 
would be undefined.
I believe that A and D would be the correct answer. Because both are 30,60,90 triangles and would be congruent. The other 2 triangles only have 1 angle and their side measures are at two different places meaning they cannot be congruent.
Answer:1/2 y
Step-by-step explanation:
We can solve this using ration reasoning:
x
2
x
1
=
y
2
y
1
Explanation:
If
x
varies directly with
y
(written
x
∝
y
), then doubling
y
means doubling
x
, so the rations of final values and initial values will be the same:
x
2
x
1
=
y
2
y
1
In this case,
x
2
9
=
24
18
x
2
=
9
⋅
24
18
=
12
Or, intuitively, if
x
∝
y
and
x
=
9
when
y
=
18
, we can conclude that
x
=
1
2
y
and
1
2
of 24 is 12.
