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Vesnalui [34]
3 years ago
13

Solve the Antiderivative.​

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
3 0
1
∫ -------------------- dx
x² + 6x + 10


1
∫ -------------------- dx
(x+3)² + 1

Let t = x + 3
dt = dx

1
∫ -------------------- dt
t²+1

1/1 arctan(t/1)

1/1 arctan (x+3 / 1)


=arctan(x+3) + C
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Reed made a lasagna for dinner. That night, he ate1/4
Snezhnost [94]

Answer: 11/12

Step-by-step explanation:

First find the LCM of 4 and 3(12).  Then make the denominator of both fractions 12(3/12 and 8/12).  Then add the fractions to get that they ate 11/2 of the lasagna.

Hope it helps <3

6 0
4 years ago
How to simplify radical expressions
Veseljchak [2.6K]
Hey there!

To simplify radical expressions, refer to the conversion of a radical expression to a number with an exponent:

\sqrt[a]{x} =  x^{\frac{1}{a} }

Remember that if you don't see an index, there is an implied "2" that will go where "a" is. 

Depending on your problem, you could also cancel a radical by raising the entire expression by the second power (only if your index is 2). 

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5 0
3 years ago
The Formula for the area of a trapezoid is A=1/2(b1+b2)h when this equation is solve for B1, One equation is b1=2A/h -b2 which o
sukhopar [10]

Answer:

  see below

Step-by-step explanation:

Multiply by 2 and expand the right side:

  2A = b1h +b2h

Subtract the b2 term:

  2A -b2h = b1h

Divide by h:

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8 0
3 years ago
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Use the graph to answer the questions.
Contact [7]
1. The domain of the sequence shown is {1, 2, 3, 4, 5}. This is best matched by the description Natural numbers.

2. The common ratio is 3/1 = 9/3 = 3.

3. The first term of this geometric sequence is 1. The common ratio is 3. So, the explicit formula is f(x) = 1(3)^(x-1)
10 0
4 years ago
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What are two fractions in between 3/5 and 4/5
lesya [120]
It seems there are not fractions between 3/5 and 4/5, but there are so many

for example, if you make denominator to 10 for both fractions, you will get 6/10 and 8/10
you can say 7/10 is in between 3/5 and 4/5

also, if you make denominator to 100 for both fractions, you will get 60/100 and 80/100
you can get 20 fractions between 3/5 and 4/5
8 0
4 years ago
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