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Neko [114]
4 years ago
8

Expand and simplify (4 + √7)(2 - √7).

Mathematics
1 answer:
marusya05 [52]4 years ago
6 0

Answer:

1 - 2√7

Step-by-step explanation:

( 4 + √7)(2 - √7)

Open the brackets with

( 4+ √7)

= 4( 2 - √7) + √7(2 - √7)

= 8 - 4√7 + 2√7 - √49

= 8 ( -4 + 2)√7 - √49

= 8 - 2√7 - 7

= 8 - 7 - 2√7

= 1 - 2√7

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Answer:

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Step-by-step explanation:

Here we note that the shape consists of two small circles and one larger circle

The diameter of the larger semicircle is subtended by the two smaller semicircles, the small semicircle closer to the left of the internal circumference of the larger semicircle is shaded one while the one on the right is without color,

Therefore,

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Based on the diagram, the shaded area is observed to be;

Shaded area = Area of semicircle formed by larger diameter or 20 cm + Area area formed by the small semicircle close to the right of the internal circumference of the larger semicircle - Area area formed by the other smaller semicircle

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∴ Shaded area = π·D²/4 = π×20²/4 = 100×3.142 cm² = 314.2 cm².

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