The coordinates of the other endpoint are (-8, 18)
Answer:
Step-by-step explanation:
Note that the area under a probability density curve must be 1.
The formula for the area of a triangle is A = (1/2)(base)(height).
Here the base is 25 units. Thus, A = 1 unit^2 = (1/2)(25 units)(height), or, after multiplying both sides of this equation by 2:
2 units^2 = ( 25 units)(height)
2 units^2
Then (height) = --------------------- = 0.08 unit
25 units
The height of the triangle is 0.08 unit.
We are given one angle is 3 times less than other.
Let us assume one angle measure is x degrees and another is 4x.
Because x is 3x less than 4x. ( We can check 4x-x= 3x)
Sum of complementary angles is 90 degrees.
So, we can setup an equation
First angle measure + first angle = 90 degrees.
x+4x = 90.
Adding x and 4x, we get 5x.
So, 5x = 90.
Dividing both sides by 5, we get
5x/5 = 90.
x= 18.
So, one angle is of 18 degrees.
Another angle = 4x = 4 times 18 = 72 degrees.
So, required angles are of 18 degree and 72 degree.
Answer:
If you have given an equation, you see the x and y in it. Just taking second equation and think any common factor between x's variable. With common factor, multiply both and you will find the value of y and put it in any equation, you will find the value of X.
We have been given a function 
. We are asked to find the amplitude, period and phase shift of the function
We can see that our given function is in form 
, where,
= Amplitude.
Period = 
C = Horizontal shift,
D = Vertical shift.
We can see that value of a is 1, therefore, the amplitude of given function would be 1.
We can see that B is equal to 8, so we will get:
Therefore, the period of given function is 
.
Since the value of C is 1, therefore, horizontal shift is 1.
Since the value of D is 2, therefore, vertical shift would be 2.
