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Vesnalui [34]
3 years ago
14

Solve the equation 2 (x - 1/2)=3(5 - 2x) Show the steps in your solution.

Mathematics
2 answers:
zepelin [54]3 years ago
6 0
B ya b that sounds right
anzhelika [568]3 years ago
3 0

Answer:

x = 2

Step-by-step explanation:

2(x - 1/2) = 3(5 - 2x) (distribute 2 and 3)

2x - 1 = 15 - 6x (add 6x on both sides)

8x - 1 = 15 (add 1 on both sides)

8x = 16 (divide both sides by 8)

x = 2

CHECK

2(2 - 1/2) = 3(5 - 2(2)) (solve what's in parenthesis)

2(1.5) = 3(1) (distribute)

3 = 3

Hope this helps ya!

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Answer:

\frac{3}{11}

Step-by-step explanation:

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8 0
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pochemuha
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8 0
3 years ago
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Anon25 [30]
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7 0
3 years ago
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Find sin theta if theta is an angle in standard position and the point with coordinates (3, -4) lies on the terminal side of an
alisha [4.7K]

Answer:

\sin \theta=-\frac{4}{5}

Step-by-step explanation:

Given:

Angle is in standard position which means the starting ray is at the origin. The terminal side has coordinates (3, -4).

So, the 'x' value is 3 and 'y' value id -4.

Using Pythagoras Theorem, we find the hypotenuse.

Hypotenuse = \sqrt{3^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5

Now, using the sine ratio for the angle, we have

\sin \theta=\frac{Opposite}{Hypotenuse}\\\sin \theta=\frac{-4}{5}\\\sin \theta=-\frac{4}{5}

Therefore, the value of \sin \theta is -\frac{4}{5}.

The value is negative as the point (3, -4) lies in the fourth quadrant and sine ratio is negative in the fourth quadrant,

4 0
3 years ago
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