Perimeter the coordinates of the vertices of a quadrilateral are r(-1,3), s(3,3), t(5,-1), and u(-2,-1)

The perimeter is equal to  or

Step-by-step explanation:

we have

The coordinates of the vertices are

R(-1,3), S(3,3), T(5,-1), and U(-2,-1)

plot the figure to better understand the problem

see the attached figure

we know that

The perimeter of a quadrilateral is the sum of its four length sides

so

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

step 1

Find the distance RS

substitute the values

step 2

Find the distance ST  

substitute the values

step 3

Find the distance TU

substitute the values

step 4

Find the distance UR  

substitute the values

step 5

Find the perimeter

substitute the values

-----> exact value

-----> approximate value

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.

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation: