Drag each equation to show if it could be a correct first step to solving the equation 2(x+7)=36.
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Answer:
Step-by-step explanation:
Since, according to associative property of multiplication,
a(bc) = (ab)c,
Where a, b and c are any real numbers,
Here, the given expression,
2 × ( 5 × 1.5 ),
By applying the associative property of multiplication,
( 2 × 5 ) × 1.5,
Hence, the appropriate expression in the first box is '(2×5)'
And, the appropriate number in the second box is '1.5'.
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