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White raven [17]
2 years ago
9

Hard question!!!please help me !there is english below ​

Mathematics
1 answer:
Vlad1618 [11]2 years ago
4 0

9514 1404 393

Answer:

  t = ±√3

Step-by-step explanation:

The first equation tells us ...

  x^2 +tx +2 = (x -h)(x -k)

 x^2 +tx +2 = x^2 -(h+k)x +hk

Comparing coefficients, we have the equations ...

  t=-(h+k)

  2 = hk

__

The second equation tells us ...

  2x^2 +mx +2m = 2(x -h/k)(x -k/h)

  2x^2 +mx +2m = 2x^2 -2(h/k +k/h)x +2

Comparing coefficients, we have the equations ...

  m = -2(h/k +k/h)

  2m = 2

__

Dividing the last equation by 2 gives ...

  m = 1

Using that in the third equation, we have ...

  1 = -2(h/k +k/h) = -2(h^2 +k^2)/hk

Using hk = 2, this gives us ...

  h^2 +k^2 = -1

From the first equation, we know ...

  t^2 = (-(h+k))^2 = h^2 +2hk +k^2 = (h^2 +k^2) +2(hk)

Substituting the values for these terms, we have ...

  t^2 = -1 + 2(2) = 3

  t = ±√3

Possible values of t are √3 and -√3.

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Answer: y-intercept: (0, 12)

Step-by-step explanation:

a_n = 9 − 3 (n − 1)

Use the slope-intercept form to find the slope and y-intercept.

  The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

     y = mx + b

  Find the values of m and b using the form y = mx + b.

     m = −3

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  The slope of the line is the value of m, and the y-intercept is the value of b.

     Slope: −3

     intercept: (0, 12)

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.

  Find the x-intercept.

     To find the x-intercept(s), substitute in 0 for y and solve for x.

        0 = −3x + 12

      Solve the equation.

        Rewrite the equation as −3x + 12 = 0.

              −3x + 12 = 0

         Subtract 12 from both sides of the equation.

              −3x = −12

         Divide each term by −3 and simplify.

              x = 4

     x-intercept(s) in point form.

     x-intercept(s): (4, 0)

  Find the y-intercept.

     To find the y-intercept(s), substitute in 0 for x and solve for y.

        y = −3 ⋅ 0 + 12

   Solve the equation.

     Remove parentheses.

           y = −3 ⋅ 0 + 12

       Simplify −3 ⋅ 0 + 12.

           y = 12

     intercept(s) in point form.

     intercept(s): (0, 12)

  Create a table of the x and y values.

     <u> x | y </u>

     0 | 12

     4 | 0

Graph the line using the slope and the y-intercept, or the points.

Slope: −3

intercept: (0, 12)

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