Let the speed of the current be x mi/hr
speed upstream=(12-x) mi/hr
speed downstream=(12+x) mi/hr
It takes 3 hours longer to travel upstream than downstream, thus
time taken upstream=68/(12-x)
time taken to travel downstream=68/(12+x)
the difference in time will be:
68/(12-x)-68/(12+x)=3
solving for x we get:
x=2.98 mi/hr
Thus the rate of current is 2.98 mi/hr
Negative x négative = positive so it’s 27 eioeieieieieieieiiee
Answer:
A. x ≤ 
Step-by-step explanation:
-9x + 2 > 18 or 13x + 15 ≤ -4
-9x > 16 or 13x ≤ -19
x > 
or x ≤
From the choices given, only x ≤ proves to be correct answer.
Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The equation of the given line is
9x+7y=4
7y = - 9x + 4
y = -9x/7 + 4/7
Comparing with the slope intercept form, slope = - 9/7
If the line passing through the given point is perpendicular to the given line, it means its slope is the negative reciprocal of the slope of the given line.
Therefore, the slope of the line passing through (7,-4) is 7/9
To determine the intercept, we would substitute m = 7/9, x = 7 and y = -4 into y = mx + c. It becomes
- 4 = 7/9×7 + c = 49/9 + c
c = - 4 - 49/9 = -85/9
The equation becomes
y = 7x/9 - 85/9
