a falcon sitting in its nest sees a mouse on the ground in a nearby field. if the falcon flies directly to the mouse, at what angle with the ground will the falcon dive to catch the mouse if his nest is 200 feet in the air and the mouse is 400 feet from the base of the tree. Once the falcon catches the mouse he decides to fly to a different nearby tree to eat. If the base of this tree is 400 feet from the mouse on the ground and stands 350 feet tall, what is the total distance the falcon flew?

answer: 4  

the square root of 16 is 4. it is a very simple mathematic concept. a square root when a number multiplied by itself will result in a number. here, the number 16 comes when 4 is multiplied by 4. hence the square root of 16 is 4. you can always figure out a square root by the inverse operation of squaring.  

38 was the other number of your question.

point form: (-3,-1)

equation form: x=-3 y=-1

step-by-step explanation:

let

step

find the slope of the line ab

we know that

the formula to calculate the slope between two points is equal to

substitute the values

step

find the equation of the line ab with the slope m and point a

we know that

the equation of the line in the slope-point form is equal to

substitute the values

convert to function form

let

therefore

the answer is the option

see the attached figure to better understand the problem