Find the linear function for F in terms of H

F = -20h + 450

Step-by-step explanation:

To find the linear function, we will use the coordinate points (1, 430) and (2, 410)

Get the slope;

m = ΔF/Δh = 410-430/2-1

m = -20/1

m = -20

Get the y intercept b

Substitute m = -20 and (1, 430) into y = mx+b

430 = -20(1) + b

430+20 = b

450 = b

Swap

b = 450

Get the required equation

y = -20x + 450

replace x with h and y with F

F = -20h + 450

Hence the required equation is F = -20h + 450

19.1 units

Step-by-step explanation:

Sides CB and DA your length are equals

Sides AB and DC your length are equals

Using the Pythagoras Theorem:

c² = a² + b²

Side AB:

c² = 1² + 5²

c² = 1 + 25

c² = 26

√c² = √26

c = 5.1     aprox.

Side CB:

c² = 2² + 4²

c² = 4 + 16

c² = 20

√c² = √20

c = 4.472     aprox

then:

the perimeter:

p = AB + BC + CD + DA

AB = CD = 5.1

DA = BC = 4.472

p = 2(5.1 + 4.472)

p = 2(9.572)

p = 19.144    aprox.

then the correct optión is:

19.1 units