Y = -2x + 5 is parallel to line as the slopes ( = -2) are the same.
the other 2 lines are nether parallel or perpendicular
Answer:
s = 35pi units
We can either leave it with pi in the answer or approximate
s= 109.9557429 units
Step-by-step explanation:
Arc length is found by
s = r * theta where r is the radius and theta is given in radians
Changing the angle from 150 degrees to radians by multiplying by pi/180
150 *pi/180 = 5/6 pi
Now we can use the formula
s = 42 * 5/6 pi
s = 35pi
We can either leave it with pi in the answer or approximate
s= 109.9557429 units
Answer:
![28+56t+28w=14(2+4t+2w)\\\\28+56t+28w=28(1+2t+w)](https://tex.z-dn.net/?f=28%2B56t%2B28w%3D14%282%2B4t%2B2w%29%5C%5C%5C%5C28%2B56t%2B28w%3D28%281%2B2t%2Bw%29)
Step-by-step explanation:
![28+56t+28w=14\times 2+14\times 4t+14\times 2w\\\\14\ is\ common\ in\ every\ term\\\\28+56t+28w=14(2+4t+2w).........................................(1)\\\\Now\ take\ 2+4t+2w\\\\2+4t+2w=2+2\times 2t+2w\\\\2\ is\ common\\\\2+4t+2w=2(1+2t+1)\\\\Now\ substitute\ this\ in\ equation\ 1\\\\28+56t+28w=14\times 2(1+2t+w)\\\\28+56t+28w==28(1+2t+w)](https://tex.z-dn.net/?f=28%2B56t%2B28w%3D14%5Ctimes%202%2B14%5Ctimes%204t%2B14%5Ctimes%202w%5C%5C%5C%5C14%5C%20is%5C%20common%5C%20in%5C%20every%5C%20term%5C%5C%5C%5C28%2B56t%2B28w%3D14%282%2B4t%2B2w%29.........................................%281%29%5C%5C%5C%5CNow%5C%20take%5C%202%2B4t%2B2w%5C%5C%5C%5C2%2B4t%2B2w%3D2%2B2%5Ctimes%202t%2B2w%5C%5C%5C%5C2%5C%20is%5C%20common%5C%5C%5C%5C2%2B4t%2B2w%3D2%281%2B2t%2B1%29%5C%5C%5C%5CNow%5C%20substitute%5C%20this%5C%20in%5C%20equation%5C%201%5C%5C%5C%5C28%2B56t%2B28w%3D14%5Ctimes%202%281%2B2t%2Bw%29%5C%5C%5C%5C28%2B56t%2B28w%3D%3D28%281%2B2t%2Bw%29)
The absolute value of a number will never be negative because absolute value is the distance from zero, so it will always be positive. For example, you can't be -6 away from 0, you are 6 away from 0.