Answer:
common ratio will be 1.05.
Step-by-step explanation:
At a local high school, enrollment in the drama club increases by 5%.
Let initial number of students in high school is 'a'.
so next year increase in students will be = 5% of a
= × a
= 0.05a
and total number of the students will be = ( a + 0.05a )
= ( 1.05a )
So common ratio of the geometric square formed will be
= = 1.05
Therefore, common ratio will be 1.05.
Answer:
Step-by-step explanation:
The y-intercept is [0, 1], so you draw a horizontal line through the line , which is considered a zero <em>slope</em><em> </em>[<em>rate</em><em> </em><em>of</em><em> </em><em>change</em>].
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Answer:
The correct option is;
No, the distance from (0, 0) to (2, √6) is not 3 units
Step-by-step explanation:
The given parameters of the question are as follows;
Circle center (h, k) = (0, 0)
Point on the circle (x, y) = (3, 0)
We are required to verify whether point (2, √6) lie on the circle
We note that the radius of the circle is given by the equation of the circle as follows;
Distance² = (x - h)² + (y - k)² = r² which gives;
(3 - 0)² + (0 - 0)² = 3²
Hence r² = 3² and r = 3 units
We check the distance of the point (2, √6) from the center of the circle (0, 0) as follows;
Therefore;
(2 - 0)² + (√6 - 0)² = 2² + √6² = 4 + 6 = 10 = √10²
Which gives the distance of the point (2, √6) from the center of the circle (0, 0) = √10
Hence the distance from the circle center (0, 0) to (2, √6) is not √10 which s more than 3 units hence the point (2, √6), does not lie on the circle.