The value of the 5th term of the geometric sequence is of 160.
<h3>What is a geometric sequence?</h3>
A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:

In which
is the first term.
We already have the 4th term and the common ratio, hence the 5th term is given by:
80 x 2 = 160.
The value of the 5th term of the geometric sequence is of 160.
More can be learned about geometric sequences at brainly.com/question/11847927
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First, work out how much you need to add to A's x and y coordinates in order to get to point B from point A.
So (using Ax to mean x-coordinate of A, Ay the y-coordinate of A, etc):
x-difference = Bx - Ax = 3 - (-3) = 3 + 3 = 6
y-difference = By - Ay = 5 - 1 = 4
Now, if the point divides the segment AB in the ratio 2:3, then it is 2/(2+3) of the way along the line AB.
i.e. it is 2/5 of the way along the line AB.
We therefore need to add 2/5 of the x- and y-differences to point A to get point p:
px = Ax + (2/5)*(x-difference) = -3 + (2/5)*6 = -3 + 12/5 = -15/5 + 12/5 = -3/5 = -0.6
py = Ay + (2/5)*(y-difference) = 1 + (2/5)*4 = 1 + 8/5 = 5/5 + 8/5 = 13/5 = 2.6
Therefore coordinates of p are (-0.6, 2.6)
<span>written correctly in scientific notation
</span>answer
3.05 × 10^ 4
Answer:
X=13
Step-by-step explanation:
So if ΔABC ≅ ΔDEC, then that means that ∠B is ≅ ∠E. Therefore you would write the equation 3x=6x-39 and solve for X to get 13.
Answer:
1st option
Step-by-step explanation:
Given the 2 equations
2x + 5y = 19 → (1)
y = 3x - 3 → (2)
Substitute y = 3x - 3 into (1)
2x + 5(3x - 3) = 19