The magnitude of each vector is the Pythagorean sum of its components.
a. |v1| = √(2² + (-6)²) = √40 = 2√10
|v2| = √((-4)² + 7²) = √65
b. To make each vector into a unit vector, divide each component by the vector's magnitude.
u1 = v1/|v1| = (2/(2√10), -6/(2√10))
u1 = (√10/10, -3√10/10)
u2 = v2/|v2| = (-4/√65, 7/√65)
u2 = (-4√65/65, 7√65/65)
Answer:
B) y=-3/2x-3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-6-3)/(2-(-4))
m=-9/(2+4)
m=-9/6
simplify
m=-3/2
y-y1=m(x-x1)
y-3=-3/2(x-(-4))
y-3=-3/2(x+4)
y=-3/2x-12/2+3
y=-3/2x-6+3
y=-3/2x-3
Answer:
So the final answer is

Step-by-step explanation:
Radicals:
In mathematics, a radical expression is defined as any expression containing a radical (√) symbol. Many people mistakenly call this a 'square root' symbol, and many times it is used to determine the square root of a number. However, it can also be used to describe a cube root, a fourth root, or higher.
The given expression is

Now take common radical out so we will get

Now add the Parenthesis part.

So the final answer is

Answer:
x=5
Step-by-step explanation: