Answer:
Step-by-step explanation:
Take the area of the yard and subtract from it the area of the pool. In quadratic form, the area of the pool is
Subtracting the area of the pool from the area of the yard:
Since the negative in front of the parenthesis will change the signs inside:
Combine like terms to get the area left after the pool goes in:
Answer:
x = -5.6
Step-by-step explanation:
Using the given coordinates in the given slope formula, we have ...
(y2 -y1)/(x2 -x1) = -8/5 . . . . . using the given slope
<h3>Setup</h3>(4 -x)/(3 -9) = -8/5 . . . . substituting (9, x) for (x1, y1) and (3, 4) for (x2, y2)
<h3>Solution</h3>Multiplying by 30, we have ...
5(x-4) = -48
5x -20 = -48 . . . . eliminate parentheses
5x = -28 . . . . . . . . add 20
x = -5.6 . . . . . . . . divide by 5
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<em>Additional comment</em>
In the attachment, we have written the point-slope equation of the line, then found the point on that line that has a x-coordinate of 9. We see the y-coordinate of that point is -5.6, as computed above.
If you swap the points (x1, y1) and (x2, y2), then the slope equation ends up with fewer minus signs to handle.
