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Ronch [10]
3 years ago
10

Solve -2y + 1 = y-5. оа Ob y = 2 y=-2 y = -6 ос od Y = 6

Mathematics
1 answer:
Musya8 [376]3 years ago
6 0

Answer:2y+1=y-5.

We move all terms to the left:

2y+1-(y-5.)=0

We add all the numbers together, and all the variables

2y-(y-5)+1=0

We get rid of parentheses

2y-y+5+1=0

We add all the numbers together, and all the variables

y+6=0

We move all terms containing y to the left, all other terms to the right

y=-6

Step-by-step explanation:

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ANSWER

y = 7 \sqrt{2}

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EXPLANATION

The given triangle has a right angle.

The side opposite to the 45° angle is 7 units.

To find angle x, we use the tangent ratio.

Recall the mnemonics TOA, which means,

\tan(45 \degree)  =  \frac{opposite}{adjacent}

\tan(45 \degree)  =  \frac{7}{x}

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To find y, we use the sine ratio, which means

\sin(45 \degree)  =  \frac{opposite}{hypotenuse}

\sin(45 \degree)  =  \frac{7}{y}

y=  \frac{7}{\sin(45 \degree) }

y=  \frac{7}{ \frac{1}{ \sqrt{2} } }

y = 7 \times  \frac{ \sqrt{2} }{1}

y = 7 \sqrt{2}

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