Solve the system.

Mathematics

1 answer:

Whitepunk [10]4 years ago

7 0

Answer:

A. (0, 2).

Step-by-step explanation:

y = 2 - 6x

1/2y - x = 1

Multiply the 2nd equation by -2

-y + 2x = -2 Adding this to the first equation:

0 + 8x = 0

x = 0.

So y = 2 - 6(0) = 2.

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viva [34]

Answer:

30°

Step-by-step explanation:

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2 years ago

In the given figure find the area of the shaded region if AC = 24 CM AB = 7cm and O is the centre

wariber [46]

See the attached figure to better understand the problem

we know that

The inscribed angle in a circle measures half of the arc it comprises.

in this problem
the inscribed angle= ∠ACB
and the arc it comprises measures 180°
then
the ∠ACB=180°/2-------> ∠ACB=90°

applying the Pythagorean theorem
AC²+CB²=AB²-------> AB²=24²+7²-------> AB²=625------> AB=25 cm

the diameter of circle is AB
radius=25/2--------> r=12.5 cm

[the area of a half circle]=pi*r²/2------> pi*12.5²/2--------> 245.44 cm²

[area of triangle ABC]=AC*CB/2--------> 24*7/2-------> 84 cm²

[the area of the shaded region]=[the area of a half circle]-[area of triangle ABC]

[the area of the shaded region]=245.44-84-------> 161.44 cm²

the answer is
the area of the shaded region is 161.44 cm²