The given points are
P = (-4,11)
Q = (-5,8)
The x-component of vector QP is
-4 - (-5) = 1
The y-component of vector QP is
11 - 8 = 3
The vector QP is
(1,3) or
The magnitude of the vector is
√(1² + 3²) = √(10)
Answer:
The magnitude is √(10).
The correct answer is B. Parallel lines are lines in the same plane that never intersect.
A straight line is 180 degrees:
25x + 8 + 9x + 2 = 180
Combine like terms:
34x + 10 = 180
Subtract 10 from both sides:
34x = 170
Divide both sides by 34:
X = 5
Now solve the smaller angle:
9x + 2 = 9(5) + 2 = 45 + 2 = 47
They angle with the y is a vertical angle to 47 so needs to also equal 47:
7y + 5 = 47
Subtract 5 from both sides:
7y = 42
Divide both sides by 7:
Y = 6
Answer: x = 5, y = 6
Multiply to remove the variable from the denominator.
Answer:
9
Step-by-step explanation:
We can set up a systems of equations to find the value of the third side.
Let's assume that 
is the length of both sides 1 and 2. Let's also assume that 
is the length of the third side.
We know that 
, and looking at the first clue we can make the equation 
.
We can substitute y into the equation .
So the length of the side that is the same as the second is 7.
Now we can plug this into the equation to find .
Hope this helped!
