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erastova [34]
2 years ago
11

The steps to derive the quadratic formula are shown below:

Mathematics
1 answer:
Georgia [21]2 years ago
3 0

Answer: x+\frac{b}{2a}=\pm \frac{\sqrt{b^2 - 4ac}}{\sqrt{4a^2}}

Step-by-step explanation:

We can rewrite the left hand side as a perfect square, more specifically

\left(x+\frac{b}{2a} \right)^2

So, taking the square root of both sides,

x+\frac{b}{2a}=\pm \frac{\sqrt{b^2 - 4ac}}{\sqrt{4a^2}}

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The radius of a cylindrical water tank is 6.5 ft, and its height is 19 ft. What is the volume of the tank?
creativ13 [48]

Answer:

The volume of the cylinder is 2520.64ft³

Step-by-step explanation:

To calculate the volume of a cylinder we have to use the following formula:

v = volume

h = height = 19ft

π = 3.14

r = radius = 6.5ft

v = (π * r²) * h

we replace with the known values

v = (3.14 * (6.5ft )²) * 19ft

v = (3.14 * 42.25ft²) * 19ft

v = 132.665ft² * 19ft

v = 2520.64ft³

The volume of the cylinder is 2520.64ft³

4 0
3 years ago
Which of the following correctly describes the sum below?
Norma-Jean [14]
Your answer is A hope this helps 
5 0
2 years ago
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
Hello guys I really need help is anyone available please and ty
Mumz [18]

Answer:

(7,2)45 units sqrd

Step-by-step explanation:

45 units sqrd because its a 5x9

7 0
2 years ago
What expression is equivalent to 5 (x+10)
Dahasolnce [82]

Answer:

An expression equivalent to 5 (x + 10)  is <em>5x + 50.</em>

8 0
3 years ago
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