The angle between two vectors is:
CosФ = u - v / Magnitude(u) x magnitude(v)
Magnitude of u = SQRT(7^2 + -2^2) = SQRT(49 +4) = SQRT(53)
Magnitude of v = SQRT(-1^2 +2^2) = SQRT(1 +4) = SQRT(5)
u x v = (7 x -1) + (-2 x 2) = -7 + -4 = -11
cosФ = -11 / sqrt(53) x sqrt(5)
cosФ = -11sqrt265) / 265
Ф =cos^-1(-11sqrt265) / 265)
Ф=132.51 degrees.
Answer:

Step-by-step explanation:
Given:
Center of circle is at (5, -4).
A point on the circle is 
Equation of a circle with center
and radius 'r' is given as:

Here, 
Radius of a circle is equal to the distance of point on the circle from the center of the circle and is given using the distance formula for square of the distance as:
Using distance formula for the points (5, -4) and (-3, 2), we get

Therefore, the equation of the circle is:

Now, rewriting it in the form asked in the question, we get

Answer:
Graph 4
Step-by-step explanation:
Parallel lines have no solution to the system of equation. Graph 4 is a set of parallel lines, so they will never intersect.
solving the equation
we get 
Step-by-step explanation:
Solve the equation:

We can solve using quadratic Formula:

a= 1, b = -12, c = 40
Putting values:

So, solving the equation
we get 
Keywords: Solving quadratic equation
Learn more about Solving quadratic equation at:
#learnwithBrainly
The area of a triangle is given by half the multiplication of base and height. Since you want the answer is squared centimeters, let's convert base and height in centimeters first:

Now we can do the computation:
