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max2010maxim [7]
3 years ago
15

The roots of x^2-()+34 are 5+3i

Mathematics
2 answers:
krek1111 [17]3 years ago
5 0

Answer:

We're given the roots of a quadratic function.

And, we are looking for the middle term.

Since the Quadratic Formula is used to determine the roots of a quadratic function, we can use the Quadratic Formula to get the value of the coefficient of the middle term.

      ax² + bx + c             ← Standard form ... Notice that there are two plus signs

       x² − (__) + 34            ← This is what we're given

        x² − mx + 34            ← This is what we know ... Now, put this in standard form

  ➊  x² + (-m)x + 34           ← a = 1, b = -m, c = 34

       -b ± √(b²-4ac)

x = ———————            ← Rewrite this as two fractions to fit the form of 5±3i

               2a

       -b        √(b²-4ac)

x = —— ± —————            ← Compare this to  5 ± 3i

        2a              2a

So,

        -b        -(-m)

     ——– = ——–– = 5  ⇒  m = 10a  ⇒  m = 10

         2a           2a

Therefore,

  ➊  x² + (-m)x + 34

       x² −   mx + 34           ← Now, substitute  10 for  m

       x² − 10x + 34           ← ANSWER

Step-by-step explanation:

wolverine [178]3 years ago
5 0

Answer:

try socratic it helps also

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3 years ago
The graph shows the dilation of ΔABC with the origin as its center. Which rule describes this transformation? A) (x, y) → (2x, 2
podryga [215]

<u><em>Note: Since, you have not added the graph. So, I will give you a general overview of the concept of dilation, the understanding of which will make you clear your concept.</em></u>

Step-by-step explanation:

We know that a dilation is the kind of transformation which produces an image which has the same shape as the original object, but having a different size.

Here are some key factors regarding dilation:

  • Enlargement occurs when a dilation does create a larger image.
  • Reduction occurs when a dilation does create a smaller image.
  • A dilation shrinks or stretches the original object.
  • If the scale factor > 1, the image will be a stretch (enlargement)
  • If the scale factor is between 0 and 1, the image will be shrunk (reduction)
  • If the scale factor = 1, the original object and the image will be congruent

Here is the impact of dilation when (x, y) → (2x, 2y):

  • Dilation with scale factor 2, will have the rule as (x, y) → (2x, 2y). The image will be a stretch (enlargement) as the scale factor > 1.
  • The location of the new coordinates of the image can be obtained by multiplying the coordinates of the original figure by 2.

For example, the coordinates of the image of a point A(4, 8) will be A'(2×4, 2×8) or A'(8, 16) after the dilation of scale 2 at the origin.

Here is the impact of dilation when (x, y) → (0.5x, 0.5y):

  • Dilation with scale factor 0.5, will have the rule as (x, y) → (0.5x, 0.5y). The image will be shrunk (reduction) as the scale factor < 1.
  • The location of the new coordinates of the image can be obtained by multiplying the coordinates of the original figure by 0.5.

For example, the coordinates of the image of a point A(4, 8) will be A'(0.5×4, 0.5×8) or A'(2, 4) after the dilation of scale 0.5 at the origin.

Keywords: dilation, transformation, enlargement, reduction

Learn more about dilation from brainly.com/question/13846651

#learnwithBrainly

8 0
3 years ago
Which sequence of transformations will change figure PQRS to figure P′Q′R′S′?
masya89 [10]

Answer:

Counterclockwise rotation about the origin by 90 degrees followed by reflection about the y-axis .

Step-by-step explanation:

The shape is moved to the opposite quadrant of the second shape then flied directly onto the second shape.

3 0
2 years ago
Read 2 more answers
*) Eric works at the deli on weekends to earn extra money. He makes $10 per hour making
algol13

Answer:

A=\dfrac{1}{2}(10s+14d)

Step-by-step explanation:

Given that,

He makes $10 per hour making  sandwiches, and $14 per hour delivering orders.

Let there are s sandwiches and d is delivering orders.

Eric puts half of his total earnings in a  savings account for college.

The expression that represents the total amount of money Eric saves for working s hours making sandwiches and d hours delivering orders.

A=\dfrac{1}{2}(10s+14d)

Hence, this is the required solution.

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I do not know 28y + 12x
vivado [14]

Answer:

280 + 120 = 400

Step-by-step explanation:

the intercept to both is 0

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