Is the following shape a rectangle? how do you know?

The answer is (D). No, the adjacent sides are not perpendicular.

Step-by-step explanation: We are given a shape on the co-ordinate plane and we are to check the correct statement about the shape from the given options.

The shape has four vertices A(4, -1), B(2, 4), C(-2, 2) and D(0, -3). So, the shape is definitely a quadrilateral. We are to check whether it is a rectangle or not.

We will find the slope of all the sides AB(m), BC(n), CD(o) and DA(p) as follows:

Since,

so the opposite sides are parallel, but

so the adjacent sides are not perpendicular.

Thus, (D) is the correct option.

need points to ask question

step-by-step explanation:

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !