Because the focus is (-2,-2) and the directrix is y = -4, the vertex is (-2,-3).
Consider an arbitrary point (x,y) on the parabola.
The square of the distance between the focus and P is
(y+2)² + (x+2)²
The square of the distance from the point to the directrix is
(y+4)²
Therefore
(y+4)² = (y+2)² + (x+2)²
y² + 8y + 16 = y² + 4y + 4 + (x+2)²
4y = (x+2)² - 12
y = (1/4)(x+2)² - 3
Answer:
<h2>
Answer:</h2>
The tangent, cotangent, and cosecant functions are odd , so the graphs of these functions have symmetry with respect to the:
Origin.
<h2>
Step-by-step explanation:</h2>
A function f(x) is said to be a odd function if:
Also, an odd function always has a symmetry with respect to the origin.
whereas a function f(x) is said to be a even function if:
Also, an even function has a symmetry with respect to the y-axis.
We know that:
Tangent function, cotangent function and cosecant function are odd functions.
Since,
( similarly sine function is also an odd function.
whereas cosine and secant function are even functions )
<em>Hence, the graph of tangent function, cotangent function and cosecant function is symmetric about the origin.</em>
Answer:
The area of the flag is 1750 square inch
Step-by-step explanation:
The complete question is attached.
Solution
The flag consist of two triangles of base 12.5 inch and height 100 inch and one rectangle of width 5 inch and length of 100 inch
Total Area
1750 square inch
For a better understanding of the solution given here please go through the diagram in the file attached.
To solve this question we will make use of the "Triangle Angle Bisector Theorem", which states that, "An angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle."
Thus, in our question, we will have:
The above equation can be rearranged as:
...(Equation 1)
If we have a proper look at the denominator which is 
, we note that in 
, 
Thus, (Equation 1) wil give us:
<u>Therefore, LB= 12 feet</u>
Answer: m<VUT= 70 degrees
Step-by-step explanation:
120= 50+ ?
?=70
