If kl + lm = km, which of the following statements must be true?

check all that apply.

a. l does not lie on km.
b. l is between k and m.
c. l is the midpoint of km.
d. l lies on km.

Option B) L is between K and M

Option C) L is the midpoint of KM

Option D) L lies on KM

Solution:

Given that,

KL + LM = KM

The above expression means that,

K and M are the endpoints of a straight line. Point L divides the line equally into two parts KL and LM

Since point L divides the line equally, we can say,

KL + LM = KM

The image is attached below

Let us check the option one by one

Option A) L does not lie on KM

This statement is wrong. Because L lies on KM

Option B) L is between K and M

This statement is true. Because , L lies between K and M

Option C) L is the midpoint of KM

This statement is true. Because, Point L divides the line equally into two parts KL and LM

That is, point L is the midpoint of K and M

Option D) L lies on KM

This statement is true. Because, point L lies on KM

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