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a_sh-v [17]
3 years ago
13

-2/3x + 9 = 4/3x -3​

Mathematics
2 answers:
olchik [2.2K]3 years ago
7 0

Answer:

x = 6

Step-by-step explanation:

To solve, move all the x’s to one side and all the numbers. Remember when moving numbers to the other side of an equation, the sign changes from either a positive to a negative or vise versa.

9 + 3 = 4/3x + 2/3x

Next, add the like terms.

9+3=12

When adding fractions, add the numerator (top number), but first change denominator (bottom number) if not the same. Here, we don’t need to.

4/3x+2/3x=6/3x

So,

12 = 6/3x

Then, we have to divide each side by 6/3 to make the x alone.

12/6/3 = 6/3x/6/3

To divide with fractions, multiply the reciprocal (opposite number on number line):

12/1·3/6 = x

36/6 = x

6 = x

Tatiana [17]3 years ago
5 0

Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago
Find the length of side y
Serggg [28]

Answer:

\large\boxed{y=76.3359\ cm\approx76.3\ cm}

Step-by-step explanation:

Use cosine:

cosine=\dfrac{adjacent}{hypotenuse}

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Substitute:

\dfrac{73}{y}=0.9563             <em>convert the decimal to the fraction</em>

\dfrac{73}{y}=\dfrac{9563}{10000}          <em>cross multiply</em>

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3 years ago
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Translation by (0,3) represents (x,y) --> (x, y+3) rule.

Positive 90 degree rotation represents, counterclockwise rotation.

The rule for counterclockwise rotation is (x,y) --> (-y,x).

Therefore, final rule for would be

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Now if we apply rule (x,y) --> ( -y,x+3 ) we get

(0,-4)  --> (-(-4), 0+3) = (4,3).

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