If you sketch the path of the boat, you will form a right triangle towards the port. The distance from the port to the present position is the hypotenuse since it is opposite from the right angle formed by the 12 miles north and 5 miles east movement. Since it is a right triangle, use the Pythagorean Theorem to solve the hypotenuse.
Solution:
h² = o² + a²
h² = 12² + 5²
h² = 144 + 25
h² = 169
√h² = √169
h= 13
The present distance of the boat from the port is 13 miles.
Step 1
Collinear points are a set of three or more points that exist on the same straight line. Collinear points may exist on different planes but not on different lines.
Step 2
Graph the points; (-5,2),(0,6),(6,4)
Step 3
Conclude based on step 2
Since the points are not a straight line, we can conclude that the 3 points are not collinear.
Answer:
1/4(1 - 3x)
Step-by-step explanation:
Step 1: Write out expression
1/4 - 3/4x
Step 2: Factor out GCF
1/4(1 - 3x)
Answer:
Austin's hourly wage is $8.
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
Tara's hourly wage is x.
Kayte's hourly wage is y.
Austin's hourly wage is z.
Tara earns twice as much per hour as Kayte.
This means that 
Kayte earns $3 more per hour than Austin.
This means that 
As a group, they earn $41 per hour.
This means that 
What is Austin's hourly wage?
This is z.

and
, so 






Austin's hourly wage is $8.