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.

A graph with two lines and a point. Line A is labeled y equals 10 plus 2 times x. Line B is labeled y equals 3 times x. Point H is on the intersection of line A and line B.
What does point H represent in this context?

Choose 1

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

here the number -5 is all of the following except a rational number.

step-by-step explanation:

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11 -1> 1 -1+ a

-12 > a

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752

explanation:

infrared radiation has wavelength in the range between 700 nm and 1 mm. lets' convert these values into scientific notation, keeping in mind that:

let's start from the lower value, we have:

(we moved the dot two places to the left, so we increased the exponent by 2 units, from -9 to -7)

the higher value is:

so, the range of wavelength of infrared radiation is: