Given :
a paddle boat travels upstream = 12 miles
a paddle boat travels downstream = 20 miles
speed of the current = 2 miles per hour
Let the speed of the boat =x
Let the time taken = t
We know the distance for upstream D= (boat speed - current speed) * time
the distance for downstream D= (boat speed + current speed) * time
Plug in all the values and variables in the distance
For upstream 12 = (x-2)t, then 
For downstream 20 = (x+2)t then 
we got two equations for t, equate it and solve for x
Cross multiply it
12(x+2) = 20(x-2)
12x + 24 = 20x - 40 (subtract 12x and add 40 on both sides)
64 = 8x
x= 8
the speed of the boat in still water = 8 miles per hour
Answer:
<h2>False.</h2>
Step-by-step explanation:
A inscribe circle in a triangle means to draw the biggest circle possible inside such triangle. To do that perfectly, we first have to find the incenter of the circle, which is the intersection of all three internal bisector of the triangle, that point is the center of the inscribed circle.
Therefore, the statement is false.
In addition, a circumcenter allow to perfectly draw a circumscribed circle, which is outside the triangle, which is not the case here.
An image showing the inscribed circle is attached.
Consider the equation:
Subtracting '4' from both the sides of the equation, we get as
Squaring on both the sides of the equation, we get
Subtracting '2' from both the sides of the equation, we get
x=14
Since, An extraneous solution is a solution that arises from the solving process that is not really a solution at all. But, in this equation x=14 is the solution of the given equation.
Hence, it is not an extraneous solution.
Answer:
Step-by-step explanation:
Given function is
(a)F(x)=
=
(b)F(x)=
=![\frac{\left [ 2\left ( x-3\right )\right \left ( x-5\right )+\left ( x-3\right )^2]\left [ \left ( x-4\right )^2\left ( x^2+3\right )^5\right ]-\left [ 2\left ( x-4\right )^{3}\left ( x^2+3\right )^5+5\left ( x^2+3\right )^4\left ( 2x\right )\left ( x-4\right )^2\right ]\left [ \left ( x-3\right )^2\left ( x-5\right )\right ]}{\left [\left ( x-4\right )^2\left ( x^2+3\right )^5\right ]^2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cleft%20%5B%202%5Cleft%20%28%20x-3%5Cright%20%29%5Cright%20%5Cleft%20%28%20x-5%5Cright%20%29%2B%5Cleft%20%28%20x-3%5Cright%20%29%5E2%5D%5Cleft%20%5B%20%5Cleft%20%28%20x-4%5Cright%20%29%5E2%5Cleft%20%28%20x%5E2%2B3%5Cright%20%29%5E5%5Cright%20%5D-%5Cleft%20%5B%202%5Cleft%20%28%20x-4%5Cright%20%29%5E%7B3%7D%5Cleft%20%28%20x%5E2%2B3%5Cright%20%29%5E5%2B5%5Cleft%20%28%20x%5E2%2B3%5Cright%20%29%5E4%5Cleft%20%28%202x%5Cright%20%29%5Cleft%20%28%20x-4%5Cright%20%29%5E2%5Cright%20%5D%5Cleft%20%5B%20%5Cleft%20%28%20x-3%5Cright%20%29%5E2%5Cleft%20%28%20x-5%5Cright%20%29%5Cright%20%5D%7D%7B%5Cleft%20%5B%5Cleft%20%28%20x-4%5Cright%20%29%5E2%5Cleft%20%28%20x%5E2%2B3%5Cright%20%29%5E5%5Cright%20%5D%5E2%7D)
Answer:
im pretty sure 36
Step-by-step explanation:
if you do 120 devided by 30 you get 4, then u just multipy by 9 which is 36.
