Answer:
The resultant velocity is 12.21 m/s.
Step-by-step explanation:
We are given that the water from a fire hose follows a path described by y equals 2.0 plus 0.9 x minus 0.10 x squared (units are in meters).
Also, v Subscript x is constant at 10.0 m/s.
The water from a fire hose follows a path described by the following equation below;
The velocity of the
component is constant at = 
and the point at which resultant velocity has to be calculated is (9.0,2.0).
Let the velocity of x and y component be represented as;

Now, differentiating the above equation with respect to t, we get;



Now, putting
in the above equation;
= 7 m/s
Now, the resultant velocity is given by =
=
= 12.21 m/s
Answer:
11.75 = 5.25 + x
x = 6.50
Step-by-step explanation:
Two vector spaces V and W are said to be isomorphic if there exists an invertible linear transformation (aka an isomorphism) T from V to W.
6x would be 6 x ? + 2 x ? = 12 probably 6 x 1 + 2 x 3 = 12 same thing for the second one.
Answer:
You did not post the options, but i will try to answer this in a general way.
Because we have two solutions, i know that we are talking about quadratic equations, of the form of:
0 = a*x^2 + b*x + c.
There are two easy ways to see if the solutions of this equation are real or not.
1) look at the graph, if the graph touches the x-axis, then we have real solutions (if the graph does not touch the x-axis, we have complex solutions).
2) look at the determinant.
The determinant of a quadratic equation is:
D = b^2 - 4*a*c.
if D > 0, we have two real solutions.
if D = 0, we have one real solution (or two real solutions that are equal)
if D < 0, we have two complex solutions.