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Ne4ueva [31]
3 years ago
7

What is the 15th term of the sequence 20, 16, 12, 8, 4, ...?

Mathematics
1 answer:
Leviafan [203]3 years ago
8 0

Answer:

C -36

Step-by-step explanation:

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Write x2 - 2x + 5 = 0 in vertex form. (Be sure to write your response in the form a(x-h)^2+k=0 with no spaces!)
Drupady [299]
To write the given quadratic equation to its vertex form, we first form a perfect square.
 
                x² - 2x + 5 = 0
Transpose the constant to other side of the equation,
                x² - 2x = -5
Complete the square in the left side of the equation,
              x² - 2x + (-2/1(2))² = -5 + (-2/1(2))² 
Performed the operation,
                x² - 2x + 1 = -5 + 1
Factor the left side of the equation,
               (x - 1)² = -4

Thus, the vertex form of the equation is,
          <em>  (x-1)² + 4 = 0</em>
4 0
3 years ago
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
pogonyaev

By using the general equation for a circle, we will see that the correct options are:

  • 1) This is a circle centered at (-3, - 5) with a radius of 4 units.
  • 2) The center is (-3, 5) and the radius is 2 units.
  • 3) The center is (3, 5) and the radius is 2 units.
  • 4) This is a circle centered at (3, - 5) with a radius of 4 units.

<h3>How to write a circle equation?</h3>

For a circle of radius R and center (a, b), the equation is given by:

(x - a)^2 + (y - b)^2 = R^2

With that in mind, if we look at the first equation:

(x + 3)^2 + (y + 5)^2 = 16 = 4^2

This is a circle centered at (-3, - 5) with a radius of 4 units.

For the second equation:

(x + 3)^2 + (y - 5)^2 = 4 = 2^2

The center is (-3, 5) and the radius is 2 units.

The third equation is:

(x - 3)^2 + (y - 5)^2 = 4 = 2^2

The center is (3, 5) and the radius is 2 units.

The fourth equation is:

(x - 3)^2 + (y + 5)^2 = 16 = 4^2

This is a circle centered at (3, - 5) with a radius of 4 units.

If you want to learn more about circles, you can read:

brainly.com/question/14283575

7 0
2 years ago
What is 11 times 5/6
Inga [223]

Answer:

simplified form -

Exact form - 55/6

Decimal form - 9.16..

Mixed number form - 9 1/6

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Pls help me with my homework​
katovenus [111]
9^-2 = 1/81 or 0.0123
When there is a negative in front of the exponent it makes a fraction. It is usually just 1/the number it equals if it were positive.
4 0
2 years ago
Read 2 more answers
Find the value of x in the triangle.
Vinvika [58]

=  > 3x + 15 + 4x + 12 = 180 \\  =  > 7x + 27 = 180 \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  =  >  \: 7x = 180 - 27 = 153 \:  \:  \:  \:  \\ x =  \frac{153}{7} = 21  \\ x = 21

3 0
2 years ago
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