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:
$3,840
Step-by-step explanation:
9600 x 0.08 = 768 per years (assuming flat rate)
768x5= 3,840
Answer:
Step-by-step explanation:
Given:
Vertex of the parabola is, 
Equation of the parabola in vertex form is given as:
Plug in 
. This gives,
Therefore, the equation of the given graph is
.
(-4)^2-4(1)(5)
16-4(1)(5)
16-4(5)
16-20
-4
The discriminant is negative so there are no real number solutions.
