If you take out a $8,000 loan for a period of 6 months at an 8% interest rate, what will your outstanding balance be after two m
2 answers:
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Answer:
y = tan (1/2 x - π/2) ⇒ the answer is (b)
Step-by-step explanation:
* Lets talk about the tangent function
- The tangent has a period of π, with each period separated by
a vertical asymptote. The concept of "amplitude" doesn't
really exist because -∞ < y < ∞
- You can transform the graph for tangent
∵ y = A tan B(x + C) + D
* Where:
# A, changes amplitude. (A always = 1)
# B determines the period.
# C determines how the graph is shifted from left to right.
(horizontally)
# D determines how the graph is shifted up or down.(vertically)
∵ The basic function is y = tanФ has an amplitude of 1.
It has a period of π. It has no phase or vertical shifts,
because it is centered on the origin.
* Look to the problem
- From the graph:
- The period is 2π
∵ Period = π/B
∴ 2π = π/B ⇒ ÷ π
∴ 2 = 1/B
∴ B = 1/2
- the starting point of the function is at π instead of zero
∴ It moves π units to the right
∴ C = -π
∴ y = tan 1/2(x - π)
∴ y = tan (1/2 x - π/2)
* The function is ⇒ y = tan (1/2 x - π/2)
* The blue represents y = tanx
The red represents y = tan (1/2 x - π/2)
Answer:
The equation the circle is given by
Step-by-step explanation:
The general form of the circle is
Given points are (5,0) , (0,4) and (2,4)
Let the points (5,0) , (0,4) and (2,4) be (x_1,y_1) , (x_2,y_2) and (x_3,y_3) respectively
The equation of the circle passes through given points (5,0) , (0,4) and (2,4)
Substituting the point (5,0) in (1)
Substituting the point (0,4) in
Substituting the point (2,4) in
By solving the equations (2) ,(3) and(4) we get the values of D,E and F as below
,
and
substituting the values of D,E and F in (1) we get
Now multiplying the above equation into 4 we get