The butterfly method. Multiply then divide
A square has a side of 6.25 feet. What is the area in square feet? Round to the correct significant digits
1 answer:
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The butterfly method. Multiply then divide
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
This is a linear equation (the graph is a line)
To identify the graph find out the intercepts
<u><em>Find out the y-intercept</em></u>
The y-intercept is the value of y when the value of x is equal to zero
For x=0
The y-intercept is the point (0,-4)
<u><em>Find out the x-intercept</em></u>
The x-intercept is the value of x when the value of y is equal to zero
For y=0
The x-intercept is the point (5.33,0)
therefore
The graph in the attached figure
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
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:
Step-by-step explanation:
By the definition of an angle bisector, we have that .
We can add to both sides to get
.
We can then subtract from both sides to get
.
We can finally divide both sides by to get