In the diagram, the measures of ∠1, ∠4, and ∠5 are 120°. The measure of ∠7 is 60°. Are lines c and d parallel
2 answers:
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Let's find the derivative of that hyperbola in order to find a slope formula to help us with this equation. We already have an x and y value. The derivative is found this way: 
so 
. The derivative supplies us with the slope formula we need to write the equation. Sub in the x value of 3 to find what the slope is: 
. So in our slope-intercept equation, x = 3, y = 1, and m = -1/3. Use these values to solve for b. 
so b = 2. The equation, then, for the line tangent to that hyperbola at that given point is 
Given :
A boat is located a sea level. A scuba diver is 80 feet along the surface of the water from the boat and 30 feet below the water surface.
A fish is 20 feet along the horizontal plane from the scuba diver and 10 feet below the scuba diver.
To Find :
The slope between the scuba diver and fish.
Solution :
Horizontal distance between diver and fish is 20 feet.
Fish is 10 feet below the scuba diver.
Slope between scuba diver and fish is :
Therefore, the slope between the scuba diver and fish is 0.5 .