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3 years ago

Integral of x sqrt(36+x^2) when x = 6tan theta

Mathematics

1 answer:

vova2212 [387]3 years ago

3 0

$(36+{x}^{2})x=6$
$x = 6$

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A rectangular pool is 7 feet wide. It is 3 times as long as it is wide.

aliina [53]

Answer:

7x21

Step-by-step explanation:

First, we need to find the length of the pool. Since it is three times as long as it is wide, it is 21 feet long (7 x 3 = 21). That way we can tell that it is 7x21, with a perimeter of 56 feet, and an area of 147 feet squared.

4 0

3 years ago

Mike has 21 pounds of tomatoes and 9 pounds of mixed peppers from his garden that he will use to make sals.

Grace [21]

The number of batches of salsa that can be made = x = 6 batches

The number of bat tomato sauce that can be made = y = 3 batches

Step-by-step explanation:

We are given the system of equations:

$x+5y=21\\x+y=9$

where variable x represents the number of batches of salsa that can be made and y represents the number of bat tomato sauce that can be made.

We need to solve the systems to find the values of x and y.

Let:

$x+5y=21\,\,\,eq(1)\\x+y=9\,\,\,eq(2)$

Subtract both equations:

$x+5y=21\\x+y=9\\-\,\,\,-\,\,\,\,\,\,-\\------\\4y=12\\y=\frac{12}{4}\\y=3$

So, value of y=3

Putting value of y in eq(2) and finding value of x:

$x+y=9\\x+3=9\\x=9-3\\x=6$

So, value of x=6

The number of batches of salsa that can be made = x = 6 batches

The number of bat tomato sauce that can be made = y = 3 batches

Keywords: System of equations

Learn more about system of equations at:

#learnwithBrainly

6 0

3 years ago

Read 2 more answers

Factor 3x2 - x - 10.

Salsk061 [2.6K]

The Answer is (x−2)(3x+5)

5 0

3 years ago

Read 2 more answers

Solve 2(4 x + 3) < 5 x + 21. { x | x < 9} { x | x > -5} { x | x > -9} { x | x < 5}

Nesterboy [21]

Answer:

x <5

Step-by-step explanation:

2(4 x + 3) < 5 x + 21

Distribute

8x +6 < 5x +21

Subtract 5x from each side

8x -5x +6 < 5x-5x+21

3x +6 < 21

Subtract 6 from each side

3x+6-6 <21-6

3x <15

Divide each side by 3

3x/3 <15/3

x <5

5 0

3 years ago

Scientists measured the annual forest loss (in square kilometers) in Indonesia from 2000–2012. They found the regression line

sergeinik [125]

Answer:

The slope of this line is 1021.

Step-by-step explanation:

A regression line has the following format:

y = b + ax

In which a is the slope, that is, how much y changes with a variation of a single unit in x.

In this problem, our line is:

forest loss=7500+1021x

In which x is the number of years after 2000.

So the slope of this line is 1021.

7 0

3 years ago