Dante's Mom wants to build a fence around their yard. Here are the measurements of the yard. What are the measurements of the missing side of the yard? How long will the fence be.

(a)The missing measurements are 9 feet and .

(b)Therefore, the length of the fence is  

Step-by-step explanation:

The diagram of the yard is attached below.

(a)I have labeled the missing dimensions of the yard as x and y.

Therefore:

Similarly:

The missing measurements are 9 feet and .

(b)Length of the Fence

The fence is rectangular shaped with:

Length =

Width =

Perimeter of a Rectangle = 2(L+W)

Therefore, the length of the fence

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)