





The correct answer is <u><em>
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Hope this helps!!!
Step-by-step explanation:
every point on the circle has the same distance from the center : r (radius).
we can see that radius right there on the x-axis : the distance of (3, 0) to (0, 0) is simply 3. that is our radius.
the distance formula is applied Pythagoras
distance² = (difference in x coordinates)² +
+ (difference in y coordinates)²
distance = sqrt( ... )
so,
(-2.5, - 2.5)
(-2.5 - 0)² + (-2.5 - 0)² = 6.25 + 6.25 = 12.5
that is not 3² = 9, so the point is NOT on the circle.
(1, 3)
(1 - 0)² + (3 - 0)² = 1 + 9 = 10
that is not 3² = 9, so the point is NOT on the circle.
(2, -sqrt(5))
(2 - 0)² + (-sqrt(5) - 0)² = 4 + 5 = 9
that IS 3² = 9, so, the point IS on the circle.
(-sqrt(3), -sqrt(7))
(-sqrt(3) - 0)² + (-sqrt(7) - 0)² = 3 + 7 = 10
that is not 3² = 9, so the point is NOT on the circle.
Answer:
yes
Step-by-step explanation:
good
To solve this riddle, first we have to put it into an algebraic expression, letting the variable n represent the unknown number we are looking for.
1/5n - 5 = n + 1/3
Next, we have to add 5 to both sides, to cancel out the -5 on the left side of the equation.
1/5n = n + 5 1/3
Then, we have to subtract n from both sides of the equation to cancel out the positive n on the right side of the equation.
-4/5n = 5 1/3
Finally, we have to divide both sides by -4/5 in order to get our variable n alone on the left side by canceling out its coefficient.
n = - 6 2/3
Therefore, the number in Aiden's riddle is -6 2/3 or -20/3.