Take the vector u = <ux, uy> = <4, 3>.
Find the magnitude of u:
||u|| = sqrt[ (ux)^2 + (uy)^2]
||u|| = sqrt[ 4^2 + 3^2 ]
||u|| = sqrt[ 16 + 9 ]
||u|| = sqrt[ 25 ]
||u|| = 5
To find the unit vector in the direction of u, and also with the same sign, just divide each coordinate of u by ||u||. So the vector you are looking for is
u/||u||
u * (1/||u||)
= <4, 3> * (1/5)
= <4/5, 3/5>
and there it is.
Writing it in component form:
= (4/5) * i + (3/5) * j
I hope this helps. =)
Answer:
First option: The slope is negative for both functions.
Fourth option: The graph and the equation expressed are equivalent functions.
Step-by-step explanation:
<h3>
The missing graph is attached.</h3><h3>
</h3>
The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.
Given the equation:

We can identify that:

Notice that the slope is negative.
We can observe in the graph that y-intercept of the other linear function is:

Then, we can substitute this y-intercept and the coordinates of a point on that line, into
and solve for "m".
Choosing the point
, we get:

Notice that the slope is negative.
Therefore, since the lines have the same slope and the same y-intercept, we can conclude that they are equivalent.
Answer:
6 2 6 2 6 6 1
Step-by-step explanation:
just did it on ed.
1/7+2x/3=(15x-3)/21 make all terms have a common denominator of 21
3+14x=15x-3 subtract 3 from both sides
14x=15x-6 subtract 15x from both sides
-x=-6 divide both sides by -1
x=6
*Notice the use of parentheses in this format to make it clear what the numerators and denominators are...