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LenKa [72]
3 years ago
8

Will you help me i am have a lot of trouble on this on

Mathematics
1 answer:
vodka [1.7K]3 years ago
7 0

Answer:

A = 18 cm²

Step-by-step explanation:

The volume (V) of a prism is calculated as

V = area of base (A) × height

Here V = 216 cm³ and h = 12 cm , then

A × 12 = 216 ( divide both sides by 12 )

A = 18 cm² ← area of base

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The exponential model has an initial value of 3

The exponential model of the data is f(x) = 3 * (1.2)^x

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Given :-

  • a² - 2a - b² = 0
  • 2b + 2ab = 0

To find :-

  • Value of a and b .

Solution :-

<u>Taking</u><u> </u><u>second</u><u> </u><u>equation</u><u>:</u><u>-</u>

  • 2b + 2ab = 0
  • 2b ( 1 + a ) = 0
  • 2b = 0 or (1+a) = 0
  • b = 0 , a = -1

<u>Substitute</u><u> </u><u>in </u><u>first </u><u>equation</u><u> </u><u>:</u><u>-</u><u> </u>

  • a² - 2a - b² = 0

<u>When </u><u>b </u><u>=</u><u> </u><u>0</u><u> </u><u>,</u>

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  • a² - a = 0
  • a( a -1) =0
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<u>When </u><u>a </u><u>=</u><u> </u><u>-</u><u>1</u><u> </u><u>,</u>

  • (-1)² - 2*(-1) - b² = 0
  • 1 + 2 - b² = 0
  • b² = 3
  • b = ±√3

<u>Answer </u><u>:</u><u>-</u><u> </u>

  • a = 0,1 ; b = 0
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