What is an expression for.
1 answer:
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So with this, we will be using proportions. To solve for x, our proportion will be
Firstly, cross-multiply:
Next, subtract 36 on both sides:
Next, replace -9x with 3x-12x
Next, factor x^2+3x and -12x-36 separately: . After, rewrite it as
Next, solve for x separately in the two parentheses:
Since we can't have a negative length, x = 12.
To solve for y, our proportion will be
Firstly, cross-multiply:
Next, just square root each side, and your answer will be (rounded to hundredths)
In short, x = 12 and y = 10.39.
Answer:
Option D. y=6x
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
<em>Verify each case</em>
case a) y=(1/6)x+6
Is a linear equation, but is not a direct variation. The line not passes through the origin
case b) y=6/x
The equation represent an inverse variation
case c) y=6x-6
Is a linear equation, but is not a direct variation. The line not passes through the origin
case d) y=6x
The equation represent a direct variation