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3 years ago

Please help no one is answering my questions!

Mathematics

1 answer:

LUCKY_DIMON [66]3 years ago

5 0

Answer: x - 4

The missing dimension of the prism is A

because the volume of the rectangular prism equals the product of the sides, we have:

V = (x - 1)(x - 3)A

but V = x³ - 8x² + 19x - 12

=> x³ - 8x² + 19x - 12 = (x - 1 )(x - 3)A

⇔ x²(x - 1) - 7x(x - 1) + 12(x - 1) = (x - 1)(x - 3)A

⇔ (x² - 7x + 12)(x - 1) = (x - 1)(x - 3)A

⇔ (x² - 3x - 4x + 12)(x - 1) = (x - 1)(x - 3)A

⇔ (x - 3)(x - 4)(x - 1) = (x - 1)(x - 3)A

⇒ A = x - 4

Step-by-step explanation:

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A system of equations are given to us. And we need to solve them . The given system is

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We numbered the equations here . Now put the value of equation 1 in equation 2 that is substituting y = 2x - 3 in eq. 2 .

$\implies y = x^2 - 3 \\\\\implies 2x - 3 = x^2 - 3 \\\\\implies x^2 - 2x = 0 \\\\\implies x(x-2) = 0 \\\\\implies\red{ x = 0 , 2 }$

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