Consider these four line graphs representing speed in meters/second, where each x-axis is labelled in seconds and each y-axis is labelled in meters. what do the four graphs have in common? a) they all indicate a constant speed. b) they all indicate an increase in speed. c) all four graphs have nothing in common. d) they all represent the same speed in m/s

Answer : (A) They all indicate a constant speed.  

Explanation :

In this case, four line graphs represent speed in m/s. The x-axis is labeled in seconds (time) and the y-axis is labeled in meters (distance).

The slope of the distance-time graph gives the slope. It can be seen from the attached figure that, in each case, the speed is constant everywhere.  

Hence, the correct option is (A) " They all indicate a constant speed ".

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

the 8 in 8,420 is in the thousands place so it's value is 8 thousand.

the 8 in 6,870 is in the hundreds place so it's value is 8 hundred.

divide 8000 by 800 to find the answer:

8000 / 800 = 10

the 8 in 8,420 is 10 times greater than the 8 in 6,870