From the problem, the vertex = (0, 0) and the focus = (0, 3)
From the attached graphic, the equation can be expressed as:
(x -h)^2 = 4p (y -k)
where (h, k) are the (x, y) values of the vertex (0, 0)
The "p" value is the difference between the "y" value of the focus and the "y" value of the vertex.
p = 3 -0
p = 3
So, we form the equation
(x -0)^2 = 4 * 3 (y -0)
x^2 = 12y
To put this in proper quadratic equation form, we divide both sides by 12
y = x^2 / 12
Source:
http://www.1728.org/quadr4.htm
Answer:
x=30
Step-by-step explanation:
x+2x+3x=180
6x=180
x=180/6=30
Answer:
1. Answer is 162 2. Answer is 159.2
Step-by-step explanation:
In the first one we calculate both triangles by using and multiply it by 2 since we have 2 triangles
then we calculate the rectangle
and then we put them all together and get the answer which is 162.
in the second one we calculate the trapezoid then rhombus, then we put them together and get our answer which is 159.2
The distance between the flagpole and the building is the number of feet between them
The building is 162 feet from the flagpole
<h3>How to determine the distance</h3>
The given parameters are:
- Flagpole = 40 feet
- Building Shadow = 324 feet
The flagpole's shadow is 50% longer than the flagpole.
So, the length (l) of the flagpole's shadow is:


The length of the building's shadow (d) is then calculated as:

Express as fraction


Solve for d


The distance (x) of the building from the flagpole is then calculated as:


Hence, the building is 162 feet from the flagpole
Read more about distance and bearing at:
brainly.com/question/11744248
B...because there is no y intercept because of the 0,0 then you just turn the other one into a fraction and because the 1 is negitive the fraction is negitive