6x – 4y = 9
4y = 6x - 9
y = 6/4 x - 9/4
y = 3/2 x - 9/4 this line has slope = 3/2
perpendicular line, slope is opposite and reciprocal so slope of this line = -2/3
answer:
A. y= - 2/3 x - 4 (only this line has slope = -2/3)
Answer:
B
Step-by-step explanation:
The centre is at the midpoint of the endpoints of the diameter.
Using the midpoint formula, then
centre = (
,
) = (- 1, 1 ) → B
For every four white balls taken out one black ball is taken out so it would be the 52 white ball
Answer:
The answer is:
30 minutes.
Step-by-step explanation:
We are given the following information:
at 160 m/min, tool life = 5 min.
at 120 m/min, tool life = 17 min.
This means that as the speed reduced from 160 m/min to 120 m/min, the tool life increased from 5 min. to 17 min, hence the difference between the changes are:
speed = 160 - 120 = 40 m/min
tool life = 17 - 5 = 12 min.
Therefore, it can be concluded that a change of speed of 40 m/min, increases the tool life by 12 min.
40 m/min = 12 min
∴ 1 m/min = 12/40 min.
∴ 100 m/min = 12/40 × 100 = 0.3 × 100 =30 min.
Answer: A.
Step-by-step explanation:
Danika has 1/4 lb apple and a 3/16 apple. We have to find a common denominator to be able to subtract them. We can do this by finding out 4 times how much equals 16. Which is 4. So you multiply both of the numbers by 4, (1x4 = 4 , 4x4 = 16) being 4/16. Now you just have to subtract the top numbers "4-3 = 1" 1/16.