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muminat
3 years ago
9

Which expression is equivalent to (r-7)6?

Mathematics
1 answer:
lapo4ka [179]3 years ago
3 0

Answer:

Step-by-step explanation:

The expression equivalent to

( r^{-7})^{6}     \\is\\\frac{1}{r^{42} }

Hope it helps :)

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X^2 + Y^2 +ax + 2y + 3 = 0<br><br> What number is this equation the equation of a circle?
Sav [38]

Answer:

Eq: (x+a/2)²+(y+1)²=(a²-8)/4

Center: O(-a/2, -1)

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Step-by-step explanation:

The circle with center in O(xo,yo) and radius r has the equation:

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We have:

x²+y²+ax+2y+3=0

But: x²+ax=x²+2(a/2)x+a²/4-a²/4= (x+a/2)²-a²/4

And

y²+2y+3=y²+2y+1+2=(y+1)²+2

Replacing, we get:

(x+a/2)²-a²/4+(y+1)²+2=0

(x+a/2)²+(y+1)²=a²/4-2=(a²-8)/4

By visual inspection we note that:

- center of circle: O(-a/2, -1)

- radius: r=sqrt((a²-8)/4)=0.5×sqrt(a²-8). This means a²>8 or a>2×sqrt(2)

6 0
3 years ago
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4 0
3 years ago
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