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:
m∠WUV = 23°
Step-by-step explanation:
m∠TUW and m∠WUV must add up to m∠TUV
Step 1: Set up equation
m∠TUW + m∠WUV = m∠TUV
8x + 7 + 4x - 1 = 78
Step 2: Solve for <em>x</em>
12x + 6 = 78
12x = 72
x = 6
Step 3: Find m∠WUV
m∠WUV = 4x - 1
m∠WUV = 4(6) - 1
m∠WUV = 24 - 1
m∠WUV = 23°
Answer:
images are:
W'(-5,0)
X'(0,-9)
Y'(-9,-6)
Z'(-6,-2)
Step-by-step explanation:
use formula p(x,y)=p'(y,-x)
Answer:
x = 17
Step-by-step explanation:
First, let's turn this into an equation:
twenty more ( +20 ) than four times a number ( 4x ) is equal ( = ) to the difference ( - ) between 139 and 3 times the number ( 3x ).
4x + 20 = 139 - 3x
Now let's solve:
Subtract 20 from each side:
4x = 119 - 3x
Add 3x to each side:
7x = 119
Divide each side by 7:
x = 17
I think you mean "what is the QUOTIENT?"
