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viva [34]
3 years ago
6

Compute the value of the discriminant and give the number of real solutions of the quadratic equation.

Mathematics
1 answer:
Sergio039 [100]3 years ago
4 0
-2x^2+6x-3=0 \\ \\
a=-2 \\ b=6 \\ c=-3 \\ \Delta=b^2-4ac=6^2-4 \times (-2) \times (-3)=36-24=12

The value of the discriminant is 12.
Since the discriminant is greater than zero, the equation has two real solutions.
You might be interested in
Which Lines Are Parallel if M<4 = m<5? Justify Your Answer.
vazorg [7]
Y is parallel to S because angle 4 and angle 5 are alternate interior angles.
Hope that helps.
6 0
3 years ago
J'K'L'M' is a translation of JKLM by vector (-6/2). What are the coordinates of K'? What are the coordinates of M'?
pochemuha

By applying the concept of <em>rigid</em> transformation and the equation of translation we conclude that the coordinates of points K' and M' are (-2, 3) and (-4, 1).

<h3>How to apply a translation to a point on a Cartesian plane</h3>

<em>Rigid</em> transformations are transformations applied onto <em>geometric</em> loci such that Euclidean distance is conserved at every point of the loci. Translations are an example of <em>rigid</em> transformations, whose formula is defined by the following expression:

P'(x, y) = P(x, y) + \vec v     (1)

Where:

  • P(x, y) - Original point
  • P'(x, y) - Resulting point
  • \vec v - Translation vector

If we know that K(x, y) = (4, 1), M(x, y) = (2, -1) and \vec v = (-6, 2), then the coordinates of points K' and M' are:

Point K'

K'(x, y) = (4, 1) + (-6, 2)

K'(x, y) = (-2, 3)

Point M'

M'(x, y) = (2, -1) + (-6, 2)

M'(x, y) = (-4, 1)

By applying the concept of <em>rigid</em> transformation and the equation of translation we conclude that the coordinates of points K' and M' are (-2, 3) and (-4, 1).

To learn more on translations: brainly.com/question/17485121

#SPJ1

7 0
2 years ago
Which number is located the same distance on a number line from -5 as 3 is?
svp [43]
-13 is located the same distance away on the number line from -5 that 3 is.
4 0
4 years ago
Logan made 6 pounds of trail mix. If he puts 3/4 pounds into each bag, how many bags can Logan fill?
Novay_Z [31]

Answer:

Hmm, I think its 8. divide 6 by ¾

3 0
3 years ago
Read 2 more answers
I think of a number Then multiply it by 3 then add 4 then divide by 4 my final answer is 3 less than the number is the number i
madam [21]
(3x + 4) / 4 = x - 3
3x + 4 = 4x - 12
-x + 4 = -12
-x = -16
x = 16

Check:
(3x + 4) / 4 = x - 3
(3*16 + 4) / 4 = 16 - 3
(48 + 4) / 4 = 13
52 / 4 = 13
13 = 13
3 0
3 years ago
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