Pierre traveled down a canal by barge from the town of Portage (elevation 767 feet) to the town of Barrage (elevation 642 feet). On the way, he had to pass through a series of locks. If each lock lowered the barge 25 feet, how many locks did he pass through? O A. 4 locks B. 10 locks C. 5 locks D. 6 locks

you need to show the graph

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.

70.30

step-by-step explanation: