3 years ago

Using the linear equation 4x–3y=12, express:

Mathematics

1 answer:

katen-ka-za [31]3 years ago

8 0

Answer: (4X - 12) / 3 = Y

(12+3Y) / 4 = X

Step-by-step explanation:

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Answer:

Volume of pyramid = 317 units³

Step-by-step explanation:

Volume do triangular pyramid = ⅓ × Base Area × height of pyramid

Base area = ½*bh = ½*8*14 = 56 units²

Height of pyramid = 17

Volume of pyramid = ⅓ × 56 × 17

Volume of pyramid = 317 units³ (to nearest whole number)

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Find the value of questions

Zolol [24]

Answer:

The simplified expression is:

$\frac{3^9y}{2\times \:81}=\frac{243y}{2}$

Step-by-step explanation:

Given the expression

$\frac{3^9\times \:y}{2\times 81}$

solving the expression

$\frac{3^9\times \:y}{2\times 81}=\frac{3^9y}{162}$

$=\frac{3^9y}{3^4\times \:2}$ ∵ $162=3^4\times \:2$

$=\frac{3^5y}{2}$ ∵ $\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}$

$=\frac{243y}{2}$ ∵ $3^5=243$

Therefore, the simplified expression is:

$\frac{3^9y}{2\times \:81}=\frac{243y}{2}$

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