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Sedaia [141]
3 years ago
11

What is the length of the line segment shown on this coordinate grid?PLEASE HELP :-)

Mathematics
1 answer:
tigry1 [53]3 years ago
5 0
 The line is 4 units in length.
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Solve the nonlinear system of equations
Kitty [74]

Answer:

  There are no real solutions. The complex solutions are ...

  (x, y) = (2.5-i√1.75, -2.5+i√1.75)  or  (2.5+i1.75, -2.5-i1.75)

Step-by-step explanation:

Subtract the first equation from the second.

  y -y = (x^2 -6x +8) -(-x)

  0 = x^2 -5x +8

Rewrite to facilitate completing the square:

  x^2 -5x = -8

  x^2 -5x +6.25 = -1.75 . . . . . add 6.25 to complete the square

  (x -2.5)^2 = -1.75 . . . . . write as a square

  x -2.5 = ±i√1.75 . . . . . . take the square root

  x = 2.5 ± i√1.75 . . . . . . add 2.5; y is the opposite of this

Solutions are ...

  • x = 2.5 +i√1.75, y = -2.5 -i√1.75
  • x = 2.5 -i√1.75, y = -2.5 +i√1.75

_____

The graph shows the equations have no point of intersection, meaning there are no real solutions. The complex solutions are shown above.

3 0
3 years ago
Akayla has to find secret number missing from chart.She gets some clues,what is secret number?The secret number is greater than
Fiesta28 [93]

Answer:

Step-by-step explanation:

76 0r 77

6 0
3 years ago
I NEED HELP ASAP PLEASE!!
Makovka662 [10]

Answer:

(2x-3) (2x+3)

zeros, x intercepts:  -3/2, 3/2

Step-by-step explanation:

4x^2 -9

We know the difference of squares is a^2 -b^2

This factors into (a-b) (a+b)

Let 4x^2 =a^2  

Taking the square root

2x =a

Let b^2 =9

Taking the square root

b= 3

(4x^2-9 ) = (2x-3) (2x+3)

To find the zeros, we set the equation equal to zero

(4x^2-9 ) = (2x-3) (2x+3) =0

Using the zero product property

2x-3 =0   and 2x+3 =0

2x-3+3 = 0+3                    2x+3-3 = 0-3

2x=3                                  2x=-3

Divide by 2

2x/2 = 3/2                               2x/2 = -3/2

x = 3/2                                       x = -3/2

These are the zeros of the equation (which are also the x intercepts)

8 0
3 years ago
Is -9/4 rational or irrational
irga5000 [103]

Answer:

irrational this is because when you divide - 9 / 4 gives you an irrational answer

7 0
3 years ago
What are two equivalent fractiond for 30/10
I am Lyosha [343]

Answer:

The answer is 3/1 or 3

Step-by-step explanation:

30/10 = 3/1 = 3

Thus, The answer is 3/1 or 3

<u>-TheUnknownScientist</u><u> 72</u>

8 0
2 years ago
Read 2 more answers
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