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3 years ago

Select the descriptions that are true of the equation y - 6= - 3(x+2). Select all that apply.

Mathematics

1 answer:

Lapatulllka [165]3 years ago

3 0

The point-slope form:

$y-y_1=m(x-x_1)$

We have

$y-6=-3(x+2)\to y-6=-3(x-(-2))$

Therefore

<h3>slope = -3 and the point (-2, 6)</h3>

------------

2x - y = 4 <em>it's standard form Ax + By = C</em>

y = 2x - 4 <em>it's slope-intercept form y = mx + b</em>

y - x = 4 →<em> </em>x - y = -4 <em>t's standard form Ax + By = C</em>

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2 years ago

2y-3x=ay-2x for y <br> please solve for y

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2 years ago

How do I solve the equation in an interval from 0 to 2π ? 9 cos 2t = 6

Ivahew [28]

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Using the fact that cos is 2π-periodic, we have

$\cos(2t)=\dfrac23\implies2t=\cos^{-1}\left(\dfrac23\right)+2n\pi$

That is, $\cos(\theta+2n\pi)=\cos\theta$ for any $\theta$ and integer $n$ .

$\implies t=\dfrac12\cos^{-1}\left(\dfrac23\right)+n\pi$

We get 2 solutions in the interval [0, 2π] for $n=0$ and $n=1$ ,

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2 years ago

Using a table of values, determine the solution to the equation below to the nearest fourth of a unit. 2^x=1-3^x

Greeley [361]

Answer:

Option (1)

Step-by-step explanation:

Given equation is,

$2^x=1-3^x$

To determine the solution of the equation we will substitute the values of 'x' given in the options,

Option (1)

For x = -0.75

$2^{-0.75}=1-3^{-0.75}$

0.59 = 1 - 0.44

0.59 = 0.56

Since, values on both the sides are approximately same.

Therefore, x = -0.75 will be the answer.

Option (2)

For x = -1.25

$2^{-1.25}=1-3^{-1.25}$

0.42 = 1 - 0.25

0.42 = 0.75

Which is not true.

Therefore, x = -1.25 is not the answer.

Option (3)

For x = 0.75

$2^{0.75}=1-3^{0.75}$

1.68 = 1 - 2.28

1.68 = -1.28

Which is not true.

Therefore, x = 0.75 is not the answer.

Option (4)

For x = 1.25

$2^{1.25}=1-3^{1.25}$

2.38 = 1 - 3.95

2.38 = -2.95

It's not true.

Therefore, x = 1.25 is not the answer.

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2 years ago