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3 years ago

(Quadratic Formula) (Irrational level 1)

Mathematics

1 answer:

Leni [432]3 years ago

7 0

Answer:

(-11 +/- sqrt 21) / 10

-0.64 , -1.56 to the nearest hundredth.

Step-by-step explanation:

9v^2 + 11v + 5 = 4v^2

5v^2 + 11v + 5 = 0

Using the quadratic formula:

v = [ - 11 +/- sqrt(11^2 - 4*5*5) ] / 2*5

= (-11 +/- sqrt 21) / 10

= -0.64 , -1.56 to the nearest hundredth.

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kondaur [170]

Answer:

The equation of the line is:

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Therefore, option a is the correct answer.

Step-by-step explanation:

Given the points

(-2, 2)

(4, -1)

Finding the slope

$\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

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$y-y_1=m\left(x-x_1\right)$

where m is the slope

substituting the values $m=-\frac{1}{2}$ and the point (-2, 2)

$y-y_1=m\left(x-x_1\right)$

$y-2=\frac{-1}{2}\left(x-\left(-2\right)\right)$

$y-2=\frac{-1}{2}\left(x+2\right)$

$y-2=-\frac{1}{2}\left(x+2\right)$ ∵ $\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}$

Add 2 to both sides

$y-2+2=-\frac{1}{2}\left(x+2\right)+2$

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Hence, the equation of the line is:

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Leto [7]

[ [13.9] ] - [ [-8.23] ] +[ [7.04+6.7] ]=35.87

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larisa86 [58]

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Step-by-step explanation:

Given

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The surface area of a sphere is given by

$\Rightarrow S.A.=4\pi r^2$

Putting values

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