Answer:
Step-by-step explanation:
It is given that he vector y = ai + bj is perpendicular to the line ax + by = c.
Given given point is P(-1,-9) and given vector is v = -4i + j.
Here, a = -4 and b= 1.
We need to find the equation of the line through P perpendicular to v.
Using the above fact, the vector v = -4i + j is perpendicular to the line
... (1)
The line passes through the point (-1,-9).
Substitute x=-1 and y=-9 in the above equation to find the value of c.
The value of c is -5.
Substitute c=-5 in equation (1).
Therefore the equation of line which passes through P and perpendicular to v is -4x+y=-5.
Answer:
8x+3x=b or b=8x+3x is the answer
Since the whole set is composed of a total of 55 people, with 45 people being drinks of either coffer or tea, then the remaining people not included in the 45 would be the non-drinkers. So 55-45, meaning there are 10 people who drink neither tea nor coffee. To obtain the probability:
10/55 = 2/11 = 0.182
Therefore, the probability of a person being picked at random does not drink either coffee or tea is 0.182.
I believe it is (8 ÷ 4) - 3[3(2) + 1]
Since 60 minutes are in 1 hour, we can do (0.08 km/1 min)*(60min/1 hour) and cross out the minutes, getting (0.08*60 km)/(1 hour)= 4.8km/1 hour. Since 1.61 kilometers are in 1 mile, we can multiply the equation by 1mile/1.61 km (since they are equal) and cross out the km to get 4.8*1.61miles/1 hour= \
7.728mi/1 hour. Since it's closer to 8 than 5, 3, or 2, D is right