To be perpendicular the product of the two slopes must equal -1.
2m/5=-1
2m=-5
m=-2.5
since y=mx+b we have so far
y=-2.5x+b, using point (-3,4) we can solve for b
4=-2.5(-3)+b
4=7.5+b
b=-3.5 so
y=-2.5x-3.5 We can multiply the whole equation by two so that the coefficients are integers...
2y=-5x-7 add 5x to both sides
5x-2y=-7
Multiply the two desired probabilities to find the answer.
5/12 is the probability for the plain pencil since there are 5 pencils out of 12 total items.
1/2 is the probability for the colored pencil since there are 3 colored pencils out of 6 total items. 3/6 simplifies to 1/2.
5/12*1/2= 5/24
Final answer: 5/24
An equation you can use to determine the total weight of carls checked bags is (35kg-4kg)/2=15.5kg
106.81 is the answer, the formula for this problem is 2*3.14*r, r = radius = 17
1 yard = 3 feet
3 * 4 = 12
So 4 yards is equal to 12 feet.
