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gulaghasi [49]
3 years ago
10

I need help with the problem x/-9 ≥ 3 Simplify. Thanks!

Mathematics
1 answer:
Firlakuza [10]3 years ago
6 0

Answer:

x ≤ -27

Step-by-step explanation:

\frac{x}{-9} ≥ 3

to isolate the 'x' we need to multiply each side by -9

whenever you multiply or divide an inequality by a negative you must reverse the inequality symbol, therefore:

x ≤ -27

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Using the equation of the circle, it is found that since it reaches an identity, the point (√5, 12) is on the circle.

<h3>What is the equation of a circle?</h3>

The equation of a circle of center (x_0, y_0) and radius r is given by:

(x - x_0)^2 + (y - y_0)^2 = r^2

In this problem, the circle is centered at the origin, hence (x_0, y_0) = (0,0).

The circle contains the point (-13,0), hence the radius is found as follows:

x^2 + y^2 = r^2

(-13)^2 + 0^2 = t^2

r^2 = 169

Hence the equation is:

x^2 + y^2 = 169

Then, we test if point (√5, 12) is on the circle:

x^2 + y^2 = 169

(\sqrt{5})^2 + 12^2 = 169

25 + 144 = 169

Which is an identity, hence point (√5, 12) is on the circle.

More can be learned about the equation of a circle at brainly.com/question/24307696

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3 years ago
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3 years ago
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Answer:

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Step-by-step explanation:

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