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2 years ago

How many solutions does 9x-4=4+4x have?

Mathematics

2 answers:

nexus9112 [7]2 years ago

8 0

Answer:

One solution

Step-by-step explanation:

9x-4=4+4x

Subtract 4x from each side

9x-4x-4=4+4x-4x

5x-4 = 4

Add 4 to each side

5x-4+4 = 4+4

5x= 8

Divide by 5

5x/5 = 8/5

x = 8/5

nordsb [41]2 years ago

5 0

Answer:

One solution: x = 8/5

Step-by-step explanation:

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3(6g+2) -5g

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2 years ago

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3 years ago

Find all degree solutions in the interval 0° ≤ θ < 360°. If rounding is necessary, round to the nearest tenth of a degree. Us

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Answer:

$\theta_{1} \approx 30.473^{\textdegree}$

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Step-by-step explanation:

The equation needs to be rearranged in terms of one trigonometric function:

$5\cdot \sin 2\theta - 9\cdot \cos 2\theta = 0$

$5\cdot \tan 2\theta - 9 = 0$

$5\cdot \tan 2\theta = 9$

$\tan 2\theta = \frac{9}{5}$

$\theta = \frac{1}{2}\cdot \tan^{-1} \left(\frac{9}{5} \right)$

The tangent function has positive values in the 1st and 3rd Quadrants. Then, the solutions are:

$\theta_{1} \approx 30.473^{\textdegree}$

$\theta_{2} \approx 120.473^{\textdegree}$

$\theta_{3} \approx 210.473^{\textdegree}$

$\theta_{4}\approx 300.473^{\textdegree}$

3 0

3 years ago