Solve: 3n - 6 = -8(6 +5n) and explain how to solve it
2 answers:
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Answer:
Step-by-step explanation:
The equation of the slope of the tangent line L is obtained by deriving the equation of the hyperbola:
The numerical value of the slope is:
The component of the y-axis is:
Now, the tangent line has the following mathematical model:
The value of the intercept is found by isolating it within the equation and replacing all known variables:
Thus, the tangent line is:
The vertical distance between a point of the tangent line and the origin is given by the intercept.
In order to find horizontal distance between a point of the tangent line and the origin, let equalize y to zero and clear x:
The area of the triangle is computed by this formula:
Answer:
∠EGB and ∠AGF are congruent;
Transitive Property of Equality
Step-by-step explanation:
The vertical angles theorem is about the angles that are opposite to each other. These angles are formed when two lines cross each other
Vertical angles are congruent i.e their measures are equal
Look at the attached graph
Given:
AB // CD
E , G , H , F are col-linear
The line which contains points E , G , H , F is a transversal for the parallel lines AB and CD
∵ AB and EF intersected at point G
∴ m∠EGB = m∠AGF ⇒ by the vertical angles theorem
When lines AB and EF intersected at G they formed opposite angles like angles EGB and AGF, then angles EGB and AGF are congruent ( vertical angle theorem)
∵ AB // CD and EF is a transversal
∴ m∠AGF = m∠CHF (corresponding angles theorem)
Transitive Property of Equality: if one angle is equal to two other angles, then the two other angles are equal
Therefore, If a = b and b = c, then a = c
∵ m∠EGB = m∠AGF
∵ m∠AGF = m∠CHF
∴ m∠EGB = m∠CHF (transitive property theorem)
∠EGB and ∠AGF are congruent; Transitive Property of Equality
