Answer:
=
−
7
/1
1 in fraction form
Step-by-step explanation:
STEP 1: Multiply by 1
1
+
1
0
+
2
5
=
1
8
+
1
0
+
2
5
=
1
8 STEP 2: Combine like terms
+
1
0
+
2
5
=
1
8
1
1
+
2
5
=
1
8 STEP 3: Subtract 2
5 from both sides of the equation
11x+25=18
1
1
+
2
5
−
2
5
=
1
8
−
2
5
STEP 4: Simplify by subtracting the numbers
1
1
+
2
5
−
2
5
=
1
8
−
2
5
11x+25−25=18−25
1
1
=
1
8
−
2
5 1
1
= -7
STEP 5: Divide both sides of the equation by the same term 1
1
=
−
7 11x/
11x = −7/
1
1 (set up as a fraction) STEP 6: Cancel terms that are in both the numerator and denominator
= −
7
/1
1 SOLUTION
= −
7
/1
1
I am pretty sure it is 120 or 30
Answer: the shortest side is 30m
Step-by-step explanation:
Let the shortest side be a meters
If side 2 is 16m longer than the shortest side, then it is (16+a)meters.
The same goes with side 3.
Then,
a + (16+a) + (16+a) = 122m
32 + 3a = 122m
Collecting like terms together,
3a = 122 - 32
3a = 90
Divide by coefficient of a
3a/3 = 90/3
a = 30 meters
Check:
30 + (16+30) + (16+30)
30 + 46 + 46 = 112
Answer:
The partial fraction decomposition is 
.
Step-by-step explanation:
Partial-fraction decomposition is the process of starting with the simplified answer and taking it back apart, of "decomposing" the final expression into its initial polynomial fractions.
To find the partial fraction decomposition of 
:
First, the form of the partial fraction decomposition is
Write the right-hand side as a single fraction:
The denominators are equal, so we require the equality of the numerators:
Expand the right-hand side:
The coefficients near the like terms should be equal, so the following system is obtained:
Solving this system, we get that 
.
Therefore,
