Answer:
The ship travels approximately 10.261 meters to the East.
Step-by-step explanation:
At first we introduce a graphical description of the statement as an attachment below. Let suppose that bearing is respect to the North-direction, then the change in position in the East direction is modelled by the following Trigonometric formula:
(1)
Where:
- Distance travelled by the ship, measured in kilometers.
- Bearing angle, measured in sexagesimal degrees.
- Distance component in the east direction, measured in kilometers.
If we know that
and
, then the distance in the East direction is:


The ship travels approximately 10.261 meters to the East.
Answer:
See explanation.
Step-by-step explanation:
2) Your written answer is correct, y = x +4
3) Slope of perpendicular line: 5/2
y=mx+b
4 = (5/2)(4) + b
4 = 10 + b
b = -6
So, y=(5/2)x - 6
4) Slope of perpendicular line: 1
y=mx+b
5 = (1)(4) + b
5 = 4 + b
b = 1
So, y = x + 1
7) Slope of perpendicular line: 3/4
y=mx+b
4 = (3/4)(4) + b
4 = 3 + b
b = 1
So, y = (3/4)x + 1
8) Slope of perpendicular line: 1/4
y=mx+b
-2 = (1/4)(0) + b
b = -2
So, y = (1/4)x - 2
Answer:
Step-by-step explanation:
Given:
The equation is:

To find:
The next step in simplifying the equation by using distributive property.
Solution:
Distributive property: According to this property if a, b and c are three real numbers, then

We have,

Using the distributive property, we get

It can be written as:

Therefore, the next step of the simplification is
.
Answer:
-2
Step-by-step explanation:
they are parallel so same slope but different y intercepts