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3 years ago

What is the reason for each step in the solution of the equation?

Mathematics

1 answer:

Over [174]3 years ago

7 0

Answer:

See below

Step-by-step explanation:

The given equation is

$- 6x = - 2(x + 12)$

Given

$- 6x = - 2x -24$

Distributive Property

$- 4x = - 24$

Addition property of equality;

$x = 6$

Division property of equality.

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Write y = 2x + 3 using function notation.

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Which is equivalent to sin^-1(.75)

Neko [114]

<h2>Answer: 0.85 radians</h2>

Step-by-step explanation:

We have the following trigonometric expression:

$sin^{-1}(0.75)=arcsin(0.75)$

The result of this calculation is:

$sin^{-1}(0.75)=48.59\°$ where the angle is in degrees

If $360\°=2\pi rad$ then:

$48.59\°(\frac{2\pi rad}{360\°}=0.848 rad \approx 0.85 rad$

Therefore the answer is 0.85 radians

3 0

3 years ago

A coordinate plane with a line passing through (0, negative 4) and (2, 0). What is the equation of the graphed line written in s

Hoochie [10]

Answer:

d) The equation of the line passing through the points

$y = \frac{-x}{2} - 4$

Step-by-step explanation:

Step(i):-

Given points are ( 0, -4) and (2 ,0)

slope of the line

$m = \frac{y_{2}- y_{1} }{x_{2}- x_{1} } = \frac{2-0}{0-4} = \frac{-2}{4}= \frac{-1}{2}$

Step(ii):-

The equation of the line passing through the point ( 0,-4) and having slope

$m = \frac{-1}{2}$

$y - y_{1} = m ( x - x_{1} )$

$y - (-4) = \frac{-1}{2} ( x - 0 )$

2 ( y +4) = -x

2 y + 8 = -x

2 y = - x - 8

$y = \frac{-x}{2} - \frac{8}{2}$

$y = \frac{-x}{2} - 4$

Final answer:-

The equation of the line passing through the points

$y = \frac{-x}{2} - 4$

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3 years ago

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Once again I am in need of help,

natka813 [3]

Hope it helps...........

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4 years ago