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Furkat [3]
2 years ago
11

What is the solution to the rational equation x over 2x minus 1 minus 1 over 4 equals 2 over 2x minus 1 ? (1 point)

Mathematics
1 answer:
Volgvan2 years ago
3 0
I think the answer is x = 7 over 6
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Help find the area, please.
Tanzania [10]
The answer is 72 !! :)
3 0
3 years ago
What is a possible value of sin(x) if the cos(2x) = 0.42
Ostrovityanka [42]

Answer:

The answer is 0.54 have a great day

6 0
3 years ago
A particular amuesment park ride will make 150 revolitions in 180 seconds at this rate how many revolutions will it make in 2 mi
ASHA 777 [7]

Answer:

100 revolitions

Step-by-step explanation:

180s = 3min

50s = 1min

50 * 2 = 100

7 0
2 years ago
Read 2 more answers
Find all solutions of each equation on the interval 0 ≤ x < 2π.
Korvikt [17]

Answer:

x = 0 or x = \pi.

Step-by-step explanation:

How are tangents and secants related to sines and cosines?

\displaystyle \tan{x} = \frac{\sin{x}}{\cos{x}}.

\displaystyle \sec{x} = \frac{1}{\cos{x}}.

Sticking to either cosine or sine might help simplify the calculation. By the Pythagorean Theorem, \sin^{2}{x} = 1 - \cos^{2}{x}. Therefore, for the square of tangents,

\displaystyle \tan^{2}{x} = \frac{\sin^{2}{x}}{\cos^{2}{x}} = \frac{1 - \cos^{2}{x}}{\cos^{2}{x}}.

This equation will thus become:

\displaystyle \frac{1 - \cos^{2}{x}}{\cos^{2}{x}} \cdot \frac{1}{\cos^{2}{x}} + \frac{2}{\cos^{2}{x}} - \frac{1 - \cos^{2}{x}}{\cos^{2}{x}} = 2.

To simplify the calculations, replace all \cos^{2}{x} with another variable. For example, let u = \cos^{2}{x}. Keep in mind that 0 \le \cos^{2}{x} \le 1 \implies 0 \le u \le 1.

\displaystyle \frac{1 - u}{u^{2}} + \frac{2}{u} - \frac{1 - u}{u} = 2.

\displaystyle \frac{(1 - u) + u - u \cdot (1- u)}{u^{2}} = 2.

Solve this equation for u:

\displaystyle \frac{u^{2} + 1}{u^{2}} = 2.

u^{2} + 1 = 2 u^{2}.

u^{2} = 1.

Given that 0 \le u \le 1, u = 1 is the only possible solution.

\cos^{2}{x} = 1,

x = k \pi, where k\in \mathbb{Z} (i.e., k is an integer.)

Given that 0 \le x < 2\pi,

0 \le k.

k = 0 or k = 1. Accordingly,

x = 0 or x = \pi.

8 0
2 years ago
Read 2 more answers
The angles below are supplementary. What is the value of x?
USPshnik [31]
Since the angles are supplementary, we know that they must add up to equal 180 degrees by the definition of supplementary angles

set the sum of the 2 angles to equal 180 and solve for x

6x + 48 + 60 = 180
6x + 108 = 180
6x = 72
x = 12

you could check to make sure that your x value is correct by plugging it back into the equation

6(12) + 48 + 60 = 180
72 + 48 + 60 = 180
120 + 60 = 180
180= 180

hope this helped!
8 0
3 years ago
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