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Degger [83]
3 years ago
7

Use any method to solve the equation. If necessary, round to the nearest hundredth. 9x^2 = 17

Mathematics
2 answers:
irina [24]3 years ago
7 0

Answer:

1.37

Step-by-step explanation:

First, we want to isolate the variable x. Do this by dividing both sides by 9:

\frac{9x^2}{9} =17/9

x^{2} =17/9

Now, square root both sides:

\sqrt{x^2}= \sqrt{17/9}

x = \sqrt{17/9} =\sqrt{17}/3

Finally, we can use a calculator to finish off the problem:

x = \sqrt{17}/3 ≈ 1.37

Hope this helps!

tekilochka [14]3 years ago
4 0

9x^2 = 17

Divide both sides by 9

X^2 = 17/9

Take the square root of both sides

X = sqrt(17/9) and -sqrt(17/9)

Simplify:

X = sqrt(17)/3 and -sqrt(17)/3

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What is an equation of the line that passes through the point ( − 6 , − 1 ) (−6,−1) and is perpendicular to the line 6 x − y = 7
xenn [34]

Answer:

y =  -\frac{1}{6} x - 2

Step-by-step explanation:

Given coordinate:

          ( − 6 , − 1 )

Equation of the given line is  6x− y = 7

Unknown:

Equation of the line that passes through the point and is perpendicular = ?

Solution:

A perpendicular line will have a slope that is of negative inverse to the one given;

              6x  - y  = 7

                     -y  = -6x  + 7

                     y  = 6x - 7

According to y= mx + c

 y and x are the coordinates

    m is the slope

     c is the y-intercept

Therefore, the slope of the line  = 6

  Perpendicular to this = -\frac{1}{6}

 The new line will be;

       Let find the intercept;

             -1  =  -\frac{1}{6} x (-6) + c

             -1  = 1 + c

               c = -2

The new line is;

              y =  -\frac{1}{6} x - 2

4 0
3 years ago
Write the inverse function for the function, ƒ(x) = x + 4. Then, find the value of ƒ -1(4). Type your answers in the box.
lesya [120]

The inverse is:

f^{-1}(x) = x-4

Further explanation:

Given function

f(x) = x+4

<u>Step 1: Replacing f(x) with y</u>

y = x+4

<u>Step 2: Replacing x with y and y with x</u>

x = y+4

<u>Step 3: Solving the equation for y</u>

x = y +4\\x -4 = y+4-4\\y = x-4

<u>Step 4: Replacing y with f-1(x)</u>

f^{-1}(x) = x-4

So, the inverse is:

f^{-1}(x) = x-4

Keywords: Functions, Inverse of function

Learn more about inverse of functions at:

  • brainly.com/question/3225044
  • brainly.com/question/4620451

#LearnwithBrainly

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3 years ago
How much does it cost to buy 10 pizzas
NNADVOKAT [17]

Estimate:

70 dollars ($70)

6 0
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Which set of numbers is correctly ordered from smallest to greatest?
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I believe the answer is "A"
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The sum of 3 consecutive odd numbers is 51. What is the second number in this sequence?
Veseljchak [2.6K]
Assume the second number is x, then the other two are x - 2, x + 2

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-> 3x = 51

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