First Let we solve the Original system of equations:
equation (1): 
equation (2): 
Multiplying equation (1) by 7, we get


Subtracting,
implies 
Then
Thus the solution of the original equation is
Now Let we form the new equation:
Equation 2 is kept unchanged:
Equation (2):
Equation 1 is replaced with the sum of equation 1 and a multiple of equation 2:
Equation (1): 
Now solve this two equations: 
Multiply (1) by 7 and (2) by 8,


Subtracting,
implies 
Then x=2.
so the solution for the new system of equation is x=2, y=1.
This Show that the solution to the system of equations 8x − 5y = 11 and 7x − 8y = 6 is the same as the solution to the given system of equations
Answer:
y=2x-6
Step-by-step explanation:
Parallel functions are functions with the same slopes but are in different positions on the coordinate plane (for this case it means that they have different y- intercepts)
So this means that the function will have a slope of 2
To find the equation we must plug in the value (1, -4) and find the new y-intercept(c)
(-4)= 2(1)+c
-4-2=c
-6=c
This means that the parallel function that goes through the point (1,-4) is
y=2x-6
Answer:
the plane's current height above the ocean is 3.42 miles
Step-by-step explanation:
Given that the diagonal distance between the plane and the aircraft carrier is 10 miles.
What we need to find is the vertical distance between the plane and the aircraft carrier which is the plane's current height above the ocean. This can be gotten using sine rule.
For sine rule, you need a side and its opposite angle. For this question the triangle formed is a right angle triangle with diagonal distance, vertical distance and horizontal distance.
let a = diagonal distance = 10 miles
let the opposite angle to the diagonal distance be A = 90° (right angle)
let the vertical distance = b
let the opposite angle to the vertical distance be B = 20°
Sine rule states that 
∴ 


⇒ b = 3.42 miles
Therefore the plane's current height above the ocean is 3.42 miles
There's no diagram, so I made my own.
But I can't prove AD = 2*AB