The length of a standard IMAX screen is 34 feet less than twice it’s width. The perimeter of the screen is 250 feet. What are the dimensions of the screen?

Step-by-step explanation:

let the width be w

the length = w-34

perimeter= 250ft

we know that the expression for perimeter is

p=2l+2w

250=2(w-34)+2w

250=2w-68+2w

250=4w-68

250+68=4w

318=4w

w=318/4

w=79.5

we know that length is

l=w-34

l=79.5-34

l=45.5

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,