The google family built a rectangular swimming pool in their backyard.the floor of the pool has an area of 485 5/8 square feet.if the width of the pool is 18 1/2 feet,what is the length of the pool?

A= Area= 485 5/8 ft^2
W= Width= 18 1/2 ft
L= Length= ?

Area= LW
plug in known numbers

485 5/8= (L)(18 1/2)
convert to improper fractions

3885/8= (L)(37/2)
divide both sides by 37/2

3885/8 ÷ 37/2= L
to divide fractions, multiply by the reciprocal/inverse of 37/2

3885/8 * 2/37= L
multiply numerators; multiply denominators

(3885*2)/(8*37)= L
multiply inside parentheses

7770/296= L
simplify

105/4 feet= L
change to mixed number

26 1/4 feet= L

ANSWER: The length is 26 1/4 feet (or 26.25 feet).

Hope this helps! :)

The correct options are 1 and 4.

Step-by-step explanation:

The given function is

Add and subtract in the parentheses

....(1)

The vertex form of the parabola is  . Option 2 is incorrect.

The general vertex form of a parabola is

....(2)

Where, (h,k) is the vertex of the parabola.

On comparing (1) and (2) we get

Therefore the vertex of the function is (-10,-117).  Option 1 is correct.

It is upward parabola, so the minimum value of the function is -117. Option 3 is incorrect.

The vertex of the function f(x)=x² is (0,0) and the vertex of h(x) is (-10,-117).

It means the f(x) shifts left by 10 units and down 117 units. Option 4 is correct.

The axis of symmetry of the function is x=h.

So, the axis of symmetry is

Therefore option is x=-10. Option 5 is incorrect.