Answer:
<em>21(a) 8 cm</em>
<em>21(b) 1.6 cm/sec</em>
Step-by-step explanation:
21(a)
21 cm = 13 cm = 8 cm
21(b)
Increase in depth from 6 sec to 11 sec: 8 cm
Time from 6 sec to 11 sec: 11 sec - 6 sec = 5 sec
Rate = (8 cm)/(5 sec) = 1.6 cm/sec
Given
We have to set the restraint
because a square root is non-negative, and thus it can't equal a negative number. With this in mind, we can square both sides:
The solutions to this equation are 7 and -2. Recalling that we can only accept solutions greater than or equal to -1, 7 is a feasible solution, while -2 is extraneous.
Similarly, we have
So, we have to impose
Squaring both sides, we have
The solutions to this equation are 5 and 10. Since we only accept solutions greater than or equal to 7, 10 is a feasible solution, while 5 is extraneous.
Based on the coordinates of line BC, the coordinates of N, and the fact that O is not on the coordinate plane, the coordinates of O are (6, 5).
<h3>What are Point O's coordinates?</h3><h3 />
Point N is a reflection of B and point O is a reflection of C. This means that N to O will be a straight line.
Because O is not on the Coordinate plane, we would need to draw a diagonal line from N towards C.
A vertical line should then be drawn from Point C downwards.
These two lines will intersect at (6, 5). This will be the coordinates of Point O.
Find out more on locating points of reflection at brainly.com/question/1406837.
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I hope this helps you
3n+2n=2-17
5n = -15
5n÷5= -15÷5
n= -3