Answer:
10+6=16
Step-by-step explanation:
It depends on what you mean by the delimiting carats "^"...
Since you use parentheses appropriately in the answer choices, I'm going to go out on a limb here and assume something like "^x^" stands for

.
In that case, you want to find the antiderivative,

Complete the square in the denominator:

Now substitute

, so that

. Then

which simplifies to

Now, recall that

. But we want the substitution we made to be reversible, so that

which implies that

. (This is the range of the inverse sine function.)
Under these conditions, we have

, which lets us reduce

. Finally,

and back-substituting to get this in terms of

yields
Answer:
Step-by-step explanation:
Givens
Let the width = x
Let the length = x + 5
Equation
2w + 2W = P
Solution
2x + 2(x + 5) = 192 Remove the brackets <=== Answer
2x + 2x + 10 = 192 Combine like terms
4x + 10 = 192 Subtract 10 from both sides
4x = 192 - 10
4x = 182 Divide by 4
4x/4 = 182/4
x = 45.5
Answer:
P=3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−2=5p+3p−8−6p
−2=5p+3p+−8+−6p
−2=(5p+3p+−6p)+(−8)(Combine Like Terms)
−2=2p+−8
−2=2p−8
Step 2: Flip the equation.
2p−8=−2
Step 3: Add 8 to both sides.
2p−8+8=−2+8
2p=6
Step 4: Divide both sides by 2.
2p2=62
p=3