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Hatshy [7]
4 years ago
9

Find the square root of 7-2√5​

Mathematics
2 answers:
pickupchik [31]4 years ago
7 0

Answer:√5 - √2

Step-by-step explanation:

= √(5 + 2 - 2√10 )

= √{(√5)² +(√2)² - 2.√5.√2}

= √(√5 - √2)² (by identity a² + b² -2ab = ( a-b)²)

= √5 - √2

san4es73 [151]4 years ago
4 0

5√5 = 11.8033989 or -2√5+7

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4 years ago
Circle O, with center (x, y), passes through the points A(0, 0), B(–3, 0), and C(1, 2). Find the coordinates of the center of th
balandron [24]
The answer:

the main formula of the circle's equation is 
(x-a)²+ (y-b)² = R²
where C(a, b) is the center of the circle
R is the radius

if a point A(x', y') passes through the circle, so the equation of the circle can be written as 
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<span>Circle O, with center (x, y), passes through the points A(0, 0), B(–3, 0), and C(1, 2), so we have exactly three equation:
</span>
(0-x)² + (0-y)² = R², circle O passes through A
x²+y²= R²
(-3 -x)² + (0-y)² = R², circle O passes through B
(-3 -x)² + (y)² = R²
(1-x)² + (2-y)² = R², circle O passes through A
(1-x)² + (2-y)² = R²

and we know that R= OA = OC= OB, 
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x²+y² = (-3 -x)² + (0-y)² , it implies x² = 9+ x² + 6x , and then -9/6=x, x= -3/2
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the center is C(-3/2, 2)
7 0
4 years ago
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8 0
3 years ago
que condiciones debe cumplir las medidas de un triangulo para que puedas asegurar que es un triangulo rectangulo
nirvana33 [79]

Answer:

ENGLISH

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SPANISH TRANSLATION

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3 0
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