Answer: y = (-4/5)x + 8
Solution
The equation of line is
y = mx + b
Where
y = y coordinate
m = slope
x = x coordinate
b = y intercept
In order to write the equation of line we need to find the y-intercept (b)
substitute the slope (-4/5) and coordinates given (0,8) ,
y = mx + b
8 = -4/5 (0) + b
8 = b
So,
y = (-4/5)x + 8
If we let
x as the distance traveled by the boat
y as the distance between the boat and the lighthouse.
Then, we have:
tan 18°33' = 200 / (x + y)
and
tan 51°33' = 200 / y
Solving for y in the second equation:
y = 200 / tan 51°33'
Rearranging the first equation and substituting y
x = 200 / tan 18°33' - 200 / tan 55°33'
x = 458.81 ft
Therefore, the boat traveled 458.81 ft before it stopped.
Answer:
A. (1,7)
Step-by-step explanation:
The format when pairing coordinates and coordinate plane is
(X,Y) a.k.a. (horizontal,vertical) That is where the other two lines intersect
Answer:
See explanation
Step-by-step explanation:
Given triangle JKL with vertices at J(-2,4), K(-8,4), L(-4,6).
The dilation with scale factor ½ and center of dilation at the origin has the rule
Thus,
See attached diagram.