In this figure, the slope of mid segment de is -0.4. the slope segment of ac is

The slope of segment AC is -0.4

Step-by-step explanation:

We are given a figure of a bigger triangle ABC with a smaller triangle BDE within it. The slope of the mid segment of the bigger triangle ABC is given by DE which is -0.4.

We are to determine the slope of the segment AC.

Since the side lengths of these two triangles are proportional, the two line segments DE and AC are also parallel and parallel line have equal slope.

Therefore, the slope of segment of AC is also -0.4.

Part A: Geometric Sequence

Part B:

Part C: a₈ = 512

Step-by-step explanation:

When we find the common ratio between the y-values (x-values are n inputs), we should see that we get r = 2. That means we have a geometric sequence.

Because we have a geometric sequence, our recursive formula is: . Simply plug in our known variables:

Now we need to find what y is when x = 8, so (I used explicit formula):

a₈ = 512