y varies directly as x and inversely as the square of z. y equals y=30 when x equals x=108 and z equals z=6. Find y when x equal
s x=2 and z equals z=4.
1 answer:
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Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
- Parallel lines always have the same slope and different y-intercepts
<u>1) Determine the slope (m)</u>
Rearrange this equation into slope-intercept form (this will help us find the slope)
Subtract x from both sides
Divide both sides by -2
Now, we can identify clearly that the slope of the given line is since it's in the place of m. Because parallel lines always have the same slopes, the line we're currently solving for would therefore have a slope of
as well. Plug this into
:
<u>2) Determine the y-intercept (b)</u>
Plug in the given point (-6,-8)
Add 3 to both sides to isolate b
Therefore, the y-intercept is -5. Plug this back into :
I hope this helps!
Answer:
<h3>k = 10</h3>Step-by-step explanation:
Given the equation;
We are to find the value of k.
Cross multiply;
Divide both sides by 10
Hence the value of k is 10