What is the value of k used to find the coordinates of a point that partitions a segment into a ratio of 5: 3?

Step-by-step explanation:

We are asked to find the value of k used to determine the coordinates of a point that partitions a segment into a ratio of 5:3.

The value of k would be 5 divided by the sum of 5 and 3.

Therefore, the value of k is .

answer: 9

step-by-step explanation:

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2