If a bicyclist travels 3 miles in 15 minutes, how far will he travel in 25 minutes maintaining a constant speed? (includes units
2 answers:
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Answer:
<h2>7x - 4y + 18 = 0</h2>Step-by-step explanation:
The slope-intercept form of an equation of a line:
m - slope
b - y-intercept
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Let
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We have the equation of a line in a general form (Ax + By + C = 0)
Convert it to the slope-intercept form:
<em>subtract 7y from both sides</em>
<em>divide both sides by (-7)</em>
Therefore
We have the equation:
Put the coordinates of the point (-2, 1) to the equation, and solve for <em>b</em> :
<em>multiply both sides by 2</em>
<em>add 7 to both sides</em>
<em>divide both sides by 2</em>
[te]x\dfrac{9}{2}=b\to b=\dfrac{9}{2}[/tex]
Finally:
- <em>slope-intercept form</em>
Convert to the general form:
<em>multiply both sides by 4</em>
<em>subtract 4y from both sides</em>
since we know the endpoints of the circle, we know then that distance from one to another is really the diameter, and half of that is its radius.
we can also find the midpoint of those two endpoints and we'll be landing right on the center of the circle.