A caterpillar moves across the grass at a rate of 4 2/3 feet every 7 minutes. How fast does the caterpillar move in feet per minute?

Given:

A caterpillar moves across the grass at a rate of feet every 7 minutes.

To find:

The rate of moving caterpillar in feet per minute.

Solution:

We have,

Distance covered by caterpillar is 7 minutes = feet

Distance covered by caterpillar is 1 minutes = feet

                                                                        = feet

                                                                        = feet

                                                                        = feet

Therefore, caterpillar move feet per minute.

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct