Answer:

Step-by-step explanation:
Given

Required
Use the expression to prove a trigonometry identity
The given expression is not complete until it is written as:

Going by the Pythagoras theorem, we can assume the following.
- a = Opposite
- b = Adjacent
- r = Hypothenuse
So, we have:


Having said that:
The expression can be further simplified as:

Substitute values for sin and cos
becomes

Answer:
The answer to your question is the letter D. (x - 11)² + (y - 6)² = 72
Step-by-step explanation:
Data
Equation = ?
Center = (11, 6)
Point = (17, 12)
Process
1.- Calculate the length of the radius using the distance between two points formula.
d = 
x1 = 11 y1 = 6
x2 = 17 y2 = 12
-Substitution
d = 
d = 
d = 
d = 
radius = 
2.- Write the equation of the formula
(x - 11)² + (y - 6)² = (
)²
Result
(x - 11)² + (y - 6)² = 72
Answer:
The equation of the graphed line is:
Step-by-step explanation:
From the graph, it is clear that the line is a horizontal line at y = 2.
We know that a horizontal line has a slope of 0 because the value of y does not change no matter what the value of x we put in.
In other words, the equation of the horizontal line would always get the form:
y = k
where k is the y-intercept of the line.
Determining the y-intercept of the line:
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 2
Thus, the y-intercept k = 2
Thus, if we substitute the y-intercept k = 2 in the equation y = k, we get the equation
y = 2
Therefore, the equation of the graphed line is:
Answer:
AB = 51
BC = 50
AC = 42
PQ = 42
QR = 42
PR = 59
Step-by-step explanation:
Perimeter of ∆ ABC = Perimeter of ∆ PQR
3x + 9 + 3x + 8 + 3x = 3x + 3x + 4x + 3
9x + 17 = 10x + 3
17 - 3 = 10x - 9x
14 = x
.: x = 14
AB = 3x +9 = 3×14+9 = 42+9 = 51
BC = 3x +8 = 3×14+8 = 42+8 = 50
AC = 3x = 3×14 = 42
PQ = 3x = 3×14 = 42
QR = 3x = 3×14 = 42
PR = 4x +3 = 4×14+3 = 56+3 = 59
Answer:

Step-by-step explanation:
A parallelogram has opposite parallel sides and it is a quadrilateral.