Consider point P(x,y) such that P, X and Y are collinear,
As vectors
XP = XO + OZ where O(0,0)
XP = OZ - OX
XP= (x,y) - (-3,3)
XP = (x+3, y-3)
Similarly,
PY = (6-x, -3-y)
But XP= 2^PY
[x+3, y-3] = [2(6-x), 2(-3-y)]
Given both vectors are equal, as they go in the same direction, Solve for x and y accordingly:
x+3 = 12 - 2x
x = 3
y-3 = -6-2y
y = -1
Therefore, P(3,-1)
That would be a unique triangle
4• y because since the brackets are multiplying the dot represents the x
Answer:
D
Step-by-step explanation:
Hopefully it helps you get it right!
The problem is modelled in the diagram below
We will use the cosine rule to find x
x² = 60.5² + 195² - [2×60.5×195×cos(32°)]
x² = 3660.25 + 38025 - [23595 × cos(32)]
x² = 41685.25 - 19683.50019
x² = 22001.74981
x = √22001.74981
x = 148.33 feet (rounded to 2 decimal place)
Note: the cosine rule is shown in the second diagram below