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Artemon [7]
3 years ago
6

-5x^2-6=-4x using the Quadratic Formula.

Mathematics
1 answer:
a_sh-v [17]3 years ago
5 0

Answer:

Step-by-step explanation:

-5x² - 6 = -4x

-5x² + 4x - 6 = 0

a = -5  ; b = 4  ; c = -6

Discriminant = b² - 4ac

                     = 4² - 4*(-5)*(-6)

                     = 16 - 120

                     = -104

roots = \dfrac{-b+\sqrt{D}}{2a} \ ; \   \dfrac{-b-\sqrt{D}}{2a}

=\dfrac{-4+\sqrt{-104}}{2*(-5)};\dfrac{-4-\sqrt{-104}}{2*(-5)}\\\\=\dfrac{-4+2i\sqrt{26}}{-10} ; \dfrac{-4-2i\sqrt{26}}{-10}\\\\=\dfrac{(-2)[2-i\sqrt{26}]}{-10} \ ; \ \dfrac{(-2)[2+i\sqrt{26}]}{-10}\\\\=\dfrac{2-i\sqrt{26}}{5} \ ; \ \dfrac{2+i\sqrt{26}}{5}

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The rim of the bowl will be equal to the perimeter of circle with radius of 12 inches.

\text{Perimeter of circle}=2\pi r, where r represents radius of circle.

\text{Perimeter of circle}=2\pi (12\text{ inches})

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6 0
3 years ago
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Step-by-step explanation:

7 0
3 years ago
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Step-by-step explanation:

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3

4

x

−

2

⇒

m

=

3

4

m

'

=

−

1

m

⇒

m

'

=

−

1

3

4

⇒

m

'

=

−

4

3

Now that we have the slope, we need to find the y-intercept.

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x

and  

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y

'

=

m

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x

'

+

b

⇒

y

'

=

−

4

3

x

'

+

b

⇒

7

=

−

4

3

(

−

12

)

+

b

⇒

7

=

16

+

b

⇒

b

=

−

9

Therefore, the equation of the line is

y

=

−

4

3

x

−

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4 0
3 years ago
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6/-4   (right 6 points on x-axis & down 4 points on y- axis

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