Carina records the height of a candle after x hours burning. Her data are shown in the graph below. Burning Candle A graph has time burned (hours) on the x-axis and candle height (centimeters) on the y-axis. A line goes through points (2, 6), and (1, 8). Which is the best estimate for the height of the candle after 1 hour? 4 cm 5 cm 8 cm 9 cm

8 cm

Step-by-step explanation:

Calculate the slope that intersects points (2,6) and (1,8), m=(6-8)/(1-2), m=-2.

Use the point-slope formula to determine the equation of the line that intersects both given points, y-8=-2(x-1), f(x)=-2x+10. Calculate f(1), -2(1)+10=8. Alternatively, you could just look at the given coordinates and see that inputting one hour (1,8) gives the output eight, (1,8).

see below

Step-by-step explanation:

IE = sqrt ( (0-(-6)^2 + (4 - -0.5)^2)

=  sqrt 56.25

= 7.5

PI = sqrt ( (-2 - -6)^2 + (-4 - -6)^2)

= sqrt ( 20)

= 4.47

EP = sqrt((-2)^2 + (-4-4)^2))

= sqrt (68)

= 8.25

IE = 7.5  PI = 4.47 and EP = 8.25