<em>Answer,</em>
<em>77/72 or 1 5/72</em>
<u><em>Hope this helps :-)</em></u>
Answer:
14
Step-by-step explanation:
aₙ = a₁ + (n-1)*d
59 = 2 + (20-1) * d
59 = 2 + 19d
19d = 59-2 = 57
d = 3
5th term: a₅ = 2 + 4 * 3 = 14
Answer:

Step-by-step explanation:

The radical symbol when used for a square root means the non-negative square root. You cannot state that sqrt(x^2) = x because x may be negative. That is why you need use the absolute value symbol.
Answer:
Find the coordinates of the point on the y-axis which is nearest to the point (-2, 5). Hint: Any general coordinates on y-axis can be written as (0, y), as the x-coordinate on y-axis is always zero. Use this along with the distance formula to get the nearest point to (-2, 5).
Answer:
<u>Point C at (-18/7)</u>
Step-by-step explanation:
Point A is at -6 and point B is at 2.
So, the distance between A and B = 2 - (-6) = 8
point C on the directed line segment from A to B on a number line such that the segment is partitioned in a ratio of 3:4.
Let the distance AC = x
∴ BC = 8 - x
AC : CB = 3 : 4
∴
Using cross multiplication
3 (8-x) = 4x
24 - 3x = 4x
24 = 7x
x = 24/7
So, Point C = -6 + 24/7 = -18/7
Point C at (-18/7)