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defon
2 years ago
15

Simplify: ((1/x+h)-(1/x))/h

Mathematics
1 answer:
Darya [45]2 years ago
3 0
\frac{( \frac{1}{x}+h)- \frac{1}{x} }{h}= \\  = \frac{ \frac{1}{x}+h- \frac{1}{x}  }{h}= \\  =\frac{h}{h}=  1
Thank you.
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A straight slide in a playground design makes an isosceles triangle with the
julia-pushkina [17]

Answer:

Option D.

Step-by-step explanation:

  • First, the you need ti understand that the triangle is an isosceles right angled triangle. In other words, the base and height are equal in length. The third side is the slide. This is the longest side.
  • Next, we know that the formula for calculating the area of a right angled triangle is given by:

        A = 1/2 (base × perpendicular height)

  • The perpendicular height is equal to the base. Let's say the base is <em>x</em>. It means that the height is also x, since height = base.
  • Therefore, the formula will be:

       A = 1/2 (x.x)

           =1/2 (x²)

      32 = 1/2 (x²)

     Multiplying both sides by 2 gives:

     32×2 = x²

     64  = x²

       8   = x

To find the third side, we use the Pythagoras theorem:

    C² = A² + B²

         = 8² + 8²

         = 128

   C = √128

       = 8√2

However, the answer will not be exact, so we  multiply the length of the base and height by 2. This gives x = 16 (Length of base = length of height)

Repeating the steps above gives C = √ (16)² + (16)²

                                                           = √256

This corresponds to option D.

3 0
3 years ago
The price of a certain type of wine depends on its age described by the function price age
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3 years ago
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laiz [17]

Answer:

M ( -4,9)

Step-by-step explanation:

7 0
2 years ago
Lisa is mailing a letter to a friend. Postage costs $0.32 for the first ounce and $0.23 for the additional ounce. How heavy can
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Answer: 8.3 ounces

Step-by-step explanation:

simple, there's a flat fee for 1 ounce, then 23 cents for each ounce following.

so $2 - $0.32 = $1.68

1.67 / 0.23 = 7.3 ounces

7.3 ounces + 1 ounces (from the flat fee we subtracted)

which equals 8.3

7 0
2 years ago
a fireplace contains 46 bricks along its bottom row. if each row above decreases by 4 bricks, what is the function that shows th
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2 years ago
Read 2 more answers
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