Answer:
The Given situation is In 2005, the shabelle river in Somalia rose an estimated 5.25 inches every hour for 15 hours.
Increase in water level is represented by the function,f(x)=5.25 x.
or replacing f(x) by y we get ,y= 5.25 x
This is equation of straight line passing through the origin.
As x is number of hours , so x> 0,(0,∞] Which is it's domain.
As x> 0, so Range is those values of y for which x is defined.
,So Range is y>0 i.e (0,∞}
As the function has no breaking point , that is when you plot the graph on coordinate axis there is no breaking point.So , it is everywhere continuous i. e for all values of x.
Answer:
When you say that, I think directly to Triangles. SO i am going to state that.
There is acute: Less than 90 degrees
There is Obtuse: more than 90 degrees
There is Right: 90 degrees
The equation given in the question is
2x - 3y = 6
Dividing both sides of the equation by 3, we get
2/3 x - y = 2
y = 2/3 x - 2
Then, from the above equation we can tell that the slope of the line in the graph is 2/3. The slope of a line perpendicular to this slope will be - 3/2. The line also contains the points (-2,-3).
Then, the equation of the perpendicular line will be
y = mx + b
- 3 = (- 3/2)(- 2) + b
- 3 = 3 + b
b = - 6
Then
y = (-3/2)x - 6
y + 6 = (- 3/2)x
2y + 12 = - 3x
3x + 2y = - 12
