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Colt1911 [192]
2 years ago
15

What is the value of a in the equation 3 a plus b equals 54, when b equals 9?

Mathematics
2 answers:
Hunter-Best [27]2 years ago
8 0

Answer:

3a+b=54

3a+9=54\:[b=9]

3a=54-9

Subtract 9 from both sides

3a=45

Divide both sides by 3

\frac{3a}{3}=\frac{45}{3}

a=15

<u>OAmalOHopeO</u>

Sergeeva-Olga [200]2 years ago
7 0

Answer:

a=15

Step-by-step explanation:

3a+b = 54

Let b=9

3a+9 = 54

Subtract 9 from each side

3a+9-9= 54-9

3a = 45

Divide each side by 3

3a/3 = 45/3

a = 15

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Answer:

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Step-by-step explanation:

Pretend that your fixed point [2, 9] is at the origin for now by translating it two units <em>west</em><em> </em>then nine units <em>south</em><em> </em>[0, 0]. Now, the same goes for [6, 3]. Translate it two units <em>west</em> then nine units <em>south</em><em> </em>to get [4, -6]. Then, according to the <em>180°-rotation rule</em>, you take the OPPOSITE of both the x-coordinate and y-coordinate:

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Now, that you have your rotated point, we have to shift EVERYTHING BACK to the way it was from when we shifted the fixed point of [2, 9] to the origin. We do that by translating everything in reverse order, which is 9 blocks <em>north</em><em> </em>then 2 blocks <em>east</em>:

→ [0, 0] back to [2, 9]

Translation

→ [-4, 6] to the new coordinate of [-2, 15]

I am joyous to assist you anytime.

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