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Burka [1]
3 years ago
10

Which of the equations below represents à line perpendicular to the y-axis?

Mathematics
1 answer:
mihalych1998 [28]3 years ago
5 0

Answer:

Its x=6

Step-by-step explanation:

I graphed it on mathaway

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Solve the proportion using cross products. Round to the nearest hundredth if necessary. 0.5/5 = 0.03/n
kodGreya [7K]
\dfrac{0.5}{5}=\dfrac{0.03}{n}\ \ \ |\text{cross multiply}\\\\0.5\cdot n=5\cdot0.03\\\\0.5n=0.15\ \ \ |\cdot2\\\\n=0.3
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Which answer is the explicit it rule for the sequence 12.5, 11,9.5,8,6.5,5
Y_Kistochka [10]
<h3>Answer:</h3>

D. an = 14 - 1.5n

<h3>Step-by-step explanation:</h3>

Selection D is the only one that works to give a1 = 12.5.

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Find the exact values of the solutions in the interval 0 &lt;= x &lt; 2pi of the following equations without using a calculator.
Alekssandra [29.7K]

Answer:

a) x_{1} = \frac{\pi}{3}\,rad, x_{2} = \frac{5\pi}{3}\,rad, b) x_{1} = \frac{\pi}{4}\,rad, x_{2} = \frac{3\pi}{4}\,rad, x_{3} = \frac{5\pi}{4}\,rad, x_{4} = \frac{7\pi}{4} \,rad

Step-by-step explanation:

a) We proceed to solve the expression by algebraic and trigonometrical means:

1) 3\cdot \sec x + 2 = 8

2) 3\cdot \sec x = 6

3) \sec x = 2

4) \frac{1}{\cos x} = 2

5) \cos x = \frac{1}{2}

6) x = \cos^{-1} \frac{1}{2}

Cosine has positive values in first and fourth quadrants. Then, we have the following two solutions:

x_{1} = \frac{\pi}{3}\,rad, x_{2} = \frac{5\pi}{3}\,rad

b) We proceed to solve the expression by algebraic and trigonometrical means:

1) 6\cdot \cos^{2} x = 3

2) \cos^{2} x = \frac{1}{2}

3) \cos x = \pm\frac{\sqrt{2}}{2}

4) x = \cos^{-1} \left(\pm \frac{\sqrt {2}}{2} \right)

There is one solution for each quadrant. That is to say:

x_{1} = \frac{\pi}{4}\,rad, x_{2} = \frac{3\pi}{4}\,rad, x_{3} = \frac{5\pi}{4}\,rad, x_{4} = \frac{7\pi}{4} \,rad

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3 years ago
Find the value of x that makes m ||
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3x = 2x + 20
3x - 2x = 20
x = 20
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