<h3>
Two possible answers: 6 or -6</h3>
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Explanation:
r = common ratio
To get any term in a geometric sequence, we multiply the previous term by r.
So that means 4r is the second term, since 4 is the first term.
The third term is (4r)*r = 4r^2, which is equal to 9 as given to us.
4r^2 = 9
4r^2 - 9 = 0
(2r)^2 - (3)^2 = 0
(2r - 3)(2r + 3) = 0 ... difference of squares rule
2r-3 = 0 or 2r+3 = 0
2r = 3 or 2r = -3
r = 3/2 or r = -3/2
r = 1.5 or r = -1.5
We can use each r value to find the possible second term
S = 4r = 4*(1.5) = 6
S = 4r = 4*(-1.5) = -6
The second term is either 6 or -6.
We could have this sequence: 4, 6, 9, ...
Or we could have this sequence: 4, -6, 9, ...
To find the midpoint we take both x values of the ordered pairs, add them together, and divide them by two. then we do the same for the y.
x1 = 6
y1 = 3
x2 = 0
y2 = 9
add the x’s together:
x1 + x2 aka:
6 + 0 = 6
divide 6 by 2 which = 3
that’s our new x.
now we do the y’s.
y1 + y2 aka:
3 + 9 = 12
divide 12 by 2, and we get 6.
that’s our new y.
now we put the x and y together as an ordered pair and the midpoint:
(3,6)
hope this helps! ❤️
1pound is 800/560......which is 80/56-->10/7
so 1 pound is 10/7 dollars....
because you don't say for one dollar it is this many pounds.
also for unit rate i divide by 560 on both sides to get one pound on one side and then how many dollars on the other
Answer:
B sqrt(17)
Step-by-step explanation:
Using pythagoras theorem
