<h3>
Answer:</h3>

<h3>
Step-by-step explanation:</h3>
The common ratio is -8/4 = -2. The general formula for the n-th term is ...
... an = a1·r^(n-1) . . . . . . note the use of the caret (^) and parentheses
For r = -2 and a1 = 4, this becomes ...
... an = 4·(-2)^(n-1) . . . . approximately matches the 2nd selection
A) Vectors are usually given in the form (x , y), therefore the x-component of v is 1.
B) Similarly to point A), the y-component of w is 6
C) the magnitude of the vector v+w is given by:
√[(x₁ + x₂)² + (y₁ + y₂)²] = √[(1 + (-2))² + (-3 + 6)²] = √(1 + 9) =√10
D) Compute -2 · v = (-2·1 , -2·(-3)) = (-2 , 6) = w
Therefore options B) and D) are true.
Answer:
x = 3
Step-by-step explanation:
Answer:
The correct option is C.
Step-by-step explanation:
The given equation is

It can be rewritten as
.....(1)
The standard form of an ellipse is
....(2)
Where (h,k) is center of the ellipse.
If a>b, then the vertices of the ellipse are
.
From (1) and (2) we get

Since a>b, therefore the vertices of the ellipse are


The vertices of the given ellipse are (10, –7) and (2, –7). Therefore the correct option is C.
Since you are trying to isolate
, you will need to remove the 13 through division:


Our answer is x = 6.