. At a certain instant, the length of a rectangle is 3 inches and is increasing at the rate of 1 inch per minute. At the same instant, the width is 2 inches and is decreasing at the rate of .5 inches per minute. Is the area increasing or decreasing

Area is increasing

Step-by-step explanation:

Let x be the length of rectangle and y be the width of rectangle

We are given that

x=3 in

dx/dt=1 in/min

y=2 in

dy/dt=-0.5/min

We know that

Area of rectangle,

Differentiate w.r.t t

Substitute the values

Hence, the area  of rectangle is increasing.

the function makes a strait line horizontally with no x intercept but a y intercept at 9.

step-by-step explanation:

two pairs of adjacent sides are of equal length. this implies that one diagonal divides the kite into congruent triangles, and so the angles between the two pairs of equal sides are equal in measure. it also implies that the diagonals are perpendicular.