Parallelogram LMNO has the coordinates L(1, 4), M(7, 4), N(6, 0) and O(0, 0). The diagonals of Parallelogram LMNO intersect at point P. What are the coordinates of point P?

Step-by-step explanation:

Given

Parallelogram LMNO

Required

Determine the point of intersection

The point of intersection of the diagonal is the midpoint of the parallelogram.

The diagonals are: LN and MO

Calculating midpoint, P of LN

Where

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So:

To confirm, we make use of diagonals MO

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Hence, the coordinates of the intersection, P is

is should be y = 5x

step-by-step explanation:

correct me if im wrong

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)