Question #1) jeremy determines that √9= 9^1/2. part of his work is shown √9=3=3^1=3^1/2 + ^1/2==9^1/2 which expression or equation should be placed in the blank to correctly complete jeremy's work? a: (3^2)^1 b: 3^1/2 + 3^1/2 c: 3^1/2 x 3^1/2= (3x3)^1/2 d: 3^1/2 x 3^1/2= (3x3)^1/2+^1/2 question #2) a bird drops a stick from the top of miami tower. the height of the stick after x seconds is given by f(x) = 625-16x^2. select all the correct interpretations of the coordinates of the point at the maximum of the function f(x). a: the time it takes the stick to hit the ground b: the time when the stick is at its highest point c: the height of the stick when it is dropped from miami tower d: the time when the stick is dropped from the top of miami tower e: the distance of the stick from miami tower when it hits the ground.

Answer with explanation:

1.

The Identity Wrote by Jeremy

To prove this identity , his work is as follows

Used the following law of indices

Option C

2.

Height of stick after x seconds is given by

   f(x)=625 -16 x²

Replacing , f(x) by , y in the above equation

 y= 625 -16 x²

16 x²= - (y-625)

→when x=0, y=625

Coordinates of vertex = (0, 625)

⇒Maximum of the function is given by , when time , x=0,

Maximum height = 625

Following are  the correct interpretations of the coordinates of the point at the maximum of the function f(x).

B: The time when the stick is at its highest point.

C: The height of the stick when it is dropped from Miami Tower.

E: The distance of the stick from Miami Tower when it hits the ground.

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

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