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11Alexandr11 [23.1K]
3 years ago
12

Let f(x) =x^2+10x+29 What is the minimum value of the function? ____

Mathematics
1 answer:
Tems11 [23]3 years ago
5 0

Answer:

hello : the minimum value of the function f is 4

Step-by-step explanation:

f(x) = x² + 10x +29

f(x) = x² +10x+25 +4

f(x) = (x+5)² +4.....(standar form)

if : x = -5      f(-5) = 4 is the minimum value of the function f .

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A straight slide in a playground design makes an isosceles triangle with the
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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
Ratio as a fraction 8 to 14
grigory [225]
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So, your answer is 4/7

Hope I helped!

Let me know if you need anything else!

~ Zoe
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The solution to this equation is x = 0 or x = 1

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A family needs to cross a river in a small raft.
serg [7]

Answer:

so basically you can take more than one trip you can take the mother and the bag at the same time

Step-by-step explanation:

and then you can get the daughter in the son at the same time and then for the final trip you take the father by himself

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A bag contains 5 grey marbles, 7 striped marbles, and 3 black marbles. If one marble is randomly chose, what is the probability
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Step-by-step explanation:

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