The length of a rectangle is 3m less than twice the width, and the area of the rectangle is 65m^2 . Find the dimensions of the rectangle.

W

L=2w-3

Area=(L×w)

65=[(2w-3)×w]

65 =(2w²-3w)

65=2w²-3w

2w²-3w-65=0

by using the quadratic equation

you'll get 2 values in which one will be negative

Obviously a length can't be negative so you take the positive.

w=6.5m

L=2(6.5)-3

=10m

i leave the calculator work to you.

7. diameter 4 miles, circumference 4π miles

8. radius 0.2 miles, circumference 0.4π miles

[this is a bad problem because the actual radius of a car on the track is less than 0.2 miles so the answer is less than 0.4π miles]

9. radius 6 feet, circumference 12π feet

10. diameter 14 cm, circumference 14π cm

11. diameter 4.8 feet, circumference 4.8π feet

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.