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Ira Lisetskai [31]
2 years ago
12

Given 1.2x^2−2.4=0. Find the roots of the equation.

Mathematics
1 answer:
Gelneren [198K]2 years ago
8 0

Answer:

x=\sqrt{2}, x=- \sqrt{2}

Step-by-step explanation:

Given:

1.2x^2-2.4=0

We need to find roots of the equation.

First we will solve the above equation and then will remove the root for the same.

1.2x^2-2.4=0\\1.2x^2=2.4\\x^2=\frac{2.4}{1.2}=2\\

Now to find the roots we need to square root on both side.

\sqrt{x^2}=\sqrt{2}\\

square and square root gets cancelled we get.

x= \sqrt{2}, x= - \sqrt{2}

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=24x^3+225x^2−110x−25

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6 0
3 years ago
Write an equation for a line perpendicular to y = -5x – 4 and passing through the point (15,5)
3241004551 [841]

The equation for the line in point-slope form that passes through (15, 5) and is perpendicular to y = -5x - 4 is \mathbf{y -5 = \frac{1}{5} (x - 15)}

<em><u>Recall:</u></em>

The equation of the line can be written in point-slope form (y - b = m(x - a)) and also in slope-intercept form (y = mx + b).

<em><u>Given</u></em>:

  • the point the line passes through: (15, 5)
  • the line it is perpendicular to: y = -5x - 4

<u><em>Find the </em></u><u><em>slope (m):</em></u>

The slope value will be the negative reciprocal of the slope value of y = -5x - 4.

  • The slope of y = -5x - 4 is -5.

  • Therefore, the slope of the line perpendicular to y = -5x - 4 will be the negative reciprocal of -5 which is: 1/2.

<em>Write the </em><em>equation </em><em>in </em><em>point-slope</em><em> form by substituting m = 1/2 and (a, b) = (15, 5) into </em><em>y - b = m(x - a)</em>

<em />

  • Thus:

y -5 = \frac{1}{5} (x - 15)

Therefore, the equation for the line that passes through (15, 5) and is perpendicular to y = -5x - 4 is \mathbf{y -5 = \frac{1}{5} (x - 15)}

Learn more here:

brainly.com/question/11624671

7 0
3 years ago
Need help with this one thanks!
V125BC [204]
I think its B, but im not entirely sure.
3 0
3 years ago
Ryan has 4 cups of grape juice, and Kelsey has 7 cups of lemonade. They want to combine what they have to make punch. How many 1
SCORPION-xisa [38]

Answer:

22 servings

Step-by-step explanation:

4+7=11 cups

11 divided by 1/2=22

5 0
2 years ago
ONE HUNDRED POINTS<br> a =<br><br> 4<br> 9<br> 6
Klio2033 [76]
I think the answer is 9...............
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2 years ago
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