*20 pts* Respond ASAP

5a)
let x represent the length of the pen:
let w represent the width of the pen:

remember: perimeter of a rectangle formula is P = 2x + 2w

so...

260 = 2x + 2w
260 - 2x = 2w
130 - x = w

b) A = 4000

sub in equation from a) for “w”, solve for X

A = X x w
4000 = X x (130 - X)
4000 = 130x - x^2
x^2 -130x -4000 = 0
*use quadratic formula
roots: x = 155.69178573609
x = -25.691785736085

the second root is inadmissible because a length cannot be a negative number, so the first root of 155m approx is the length of the pen if the area is 4000 sq m.

B.the point lies directly on the regression

B. because the 7 represents "seven times", x represents "a number", 12 represents "plus twelve", and -4 represents "minus four"