Answer:
y=-3/4x+1/4
Step-by-step explanation:
This is the concept of equations of graphs; We are required to calculate for the equation if the line that is perpendicular to the line 4x-3y=-8 and passes through point (3,-2).
Here we proceed as follows;
4x-3y=-8 can be written in he form y=mx+c as follows;
-3y=-4x-8
thus;
y=4/3x+8/3
The slope of the line perpendicular to this is -3/4. Thus using point (3,-2) the equation will be as follows;
-3/4=(y--2)/(x-3)
-3/4(x-3)=y+2
y+2=-3/4(x-3)
y+2=-3/4x+9/4
thus;
y=-3/4x+1/4
the answer is:
y=-3/4x+1/4
Answer:
24p
Step-by-step explanation:
£1 - £0.52 = £0.48 ← cost of 2 oranges
cost of 1 orange = £0.48 ÷ 2 = £0.24
No because the hundred place doesn't move.
Answer:
<em>8 more men are needed to complete the job</em>
Step-by-step explanation:
<u>Proportions</u>
This problem can be solved by step-by-step reasoning applying proportions:
- 16 men working 9 hrs a day complete the job in 14 days
- 16 men working 1 hr a day complete the job in 14*9 days
The above statement stands because the fewer hours of work, the more time the job needs to be completed. Let's continue.
- 1 man working 1 hr a day complete the job in 14*9*16 days
The same reasoning applies here, fewer men=more days.
Now for the second condition. Increase the hours/day:
- 1 man working 7 hrs a day complete the job in 14*9*16/7 days
More hours/day=less days to complete the job
- x men working 7 hrs a day complete the job in 14*9*16/(7*x) days
We know this last time is 12 days, thus:
![\displaystyle 12=\frac{14*9*16}{7*x}](https://tex.z-dn.net/?f=%5Cdisplaystyle%2012%3D%5Cfrac%7B14%2A9%2A16%7D%7B7%2Ax%7D)
Solving for x:
![\displaystyle x=\frac{14*9*16}{7*12}=\frac{2016}{84}=24](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3D%5Cfrac%7B14%2A9%2A16%7D%7B7%2A12%7D%3D%5Cfrac%7B2016%7D%7B84%7D%3D24)
24 men are needed now, this is an increase of 24-16=8 more men
8 more men are needed to complete the job
Answer:
Step-by-step explanation:
i'm sure the answer is C