Answer:
<em>Rate of Pratap in still water is 4.5 miles/hour and rate of current is 0.5 miles/hour.</em>
Step-by-step explanation:
Pratap Puri rowed 10 miles down a river in 2 hours, but the return trip took him 2.5 hours.
We know that, 
So, the <u>speed of Pratap with the current</u> will be: 
miles/hour
and the <u>speed of Pratap against the current</u> will be: 
miles/hour.
Suppose, the rate of Pratap in still water is 
and the rate of current is 
.
So, the equations will be........
Adding equation (1) and (2) , we will get......
Now, plugging this 
into equation (1), we will get.....
Thus, Pratap can row at 4.5 miles per hour in still water and the rate of the current is 0.5 miles/hour.
30÷5 (the 5 parts from 2:3) is 6 so the first group gets 12 (2x6) and the second gets 18 (3x6)
The graph of the function shows that function f(x) => ∞ as x = -∞ and f(x) =>-∞ as x = ∞. Option c is correct.
<h3>What is a graph?</h3>
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
Here,
The curve of the function in the 2 quadrants is increasing when x tends to -∞ and in the quadrant, the curve f(x) is decreasing to -∞ as x tends to ∞.
Thus, the graph of the function shows that function f(x) => ∞ as x = -∞ and f(x) =>-∞ as x = ∞. Option c is correct.
Learn more about graphs here:
brainly.com/question/16608196
#SPJ1
I'll talk you through it so you can see why it's true, and then
you can set up the 2-column proof on your own:
Look at the two pointy triangles, hanging down like moth-wings
on each side of 'OC'.
-- Their long sides are equal, OA = OB, because both of those lines
are radii of the big circle.
-- Their short sides are equal, OC = OC, because they're both the same line.
-- The angle between their long side and short side ... the two angles up at 'O',
are equal, because OC is the bisector of the whole angle there.
-- So now you have what I think you call 'SAS' ... two sides and the included angle of one triangle equal to two sides and the included angle of another triangle.
(When I was in high school geometry, this was not called 'SAS' ... the alphabet
did not extend as far as 'S' yet, and we had to call this congruence theorem
"broken arrow".)
These triangles are not congruent the way they are now, because one is
the mirror image of the other one. But if you folded the paper along 'OC',
or if you cut one triangle out and turn it over, it would exactly lie on top of
the other one, and they would be congruent.
So their angles at 'A' and at 'B' are also equal ... those are the angles that
you need to prove equal.
If you were to factor you would do what my teacher likes to call reverse foil so it would look like this (x-9)(x+4) so what you do is you brainsrorm to see what multiplies what to get that and 9*4=36 so that is how you factor -36 to find the -9
Hope this helps if I'm correct if not I will try to find the answer
