Suppose that the point A(x,y) belongs to this parabola. The defining point of the parabola is that the distance between a point F and the directrix. Suppose that the chosen point F is at (a,b). Then, the distance from A to the directrix is |b+4| while the distance from A to the focus is given by the pythagorean theorem:
.
We have that these two have to be equal. Squaring both sides we get:
.
This is the equation that describes all equations of parabolas with that directrix; you just need to choose the focus and substituting a and b will yield the equation.
Answer:
3380
Step-by-step explanation:
Given,
Radius (r) = 13m
Height (h) = 20m
Now,
Volume = r²h = * 169m² * 20m = 3380m³
Answer:
I suppose the answer would be 120
Step-by-step explanation:
Well if 90 is 75% then 50% should be 60 and 25% should be 30.
so its going up and down by 30, so that would make 100% 120
please give brainliest
Answer:
27.15
Step-by-step explanation:
Let us name the vertices as shown below
A(- 1, 6)
B(5, 1)
C(- 4, - 3)
We would calculate the distance between each vertex by applying the formula for calculating distance between 2 points. It is expressed as
The perimeter of the triangle is the sum of the length of each side. Thus,
Perimeter = 7.81 + 9.85 + 9.49
Perimeter = The perimeter of the triangle is the sum of the length of each side. Thus,
Perimeter = 27.15
Answer: (x^12/16y^8)
Step-by-step explanation:
first, i simplified the expression.
(-x^3/2y^2)
then, i used the properties of exponents to multiply in the parentheses.
(x^12/16y^8)