Chana and Josiah started skating at the same time in the same direction, but Josiah had a head start 10 meters past the starting line. Chana skated 3 meters per second and Josiah skated 2 meters per second. Here's a graph that shows a system of equations for this scenario where x is the number of seconds since Chana and Josiah started skating and y is the distance in meters from the starting line. What does point F represent in this context?
A) Chana's distance from the starting line at a time when she is behind Josiah
B) Josiah's distance from the starting line at a time when he is behind Chana
C) Chana's and Josiah's distance from the starting line at the time when Chana catches up with Josiah
D) Chana's distance from the starting line at a time when she is farther than Josiah

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

step-by-step explanation:

abc

current in the circuit at time t is /, then the power delivered to the resistor is

step-by-step explanation:

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus