A flower garden has been designed with an L-shaped walkway and viewing area around two sides as shown.
1 answer:
Answer:
c. 2.4 yards
Step-by-step explanation:
If x is the width of the walkway, then the total landscape area is ...
(4.5 +x)(7.5 +x) = 68.31
This quadratic equation can be rearranged to standard form and solved in any of the usual ways.
(x +4.5)(x +7.5) -68.31 = 0
x² +12x -34.56 = 0
Using the quadratic formula, we have ...
x = (-12 ±√(12² -4(1)(-34.56)))/2 = -6 ± √70.56 = -6 ± 8.4
The positive solution is x = 2.4.
The width of the walkway is 2.4 yards.
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Given:
The equation goes through the coordinates (6,5) and (-2,-5).
To find:
The values of A and B.
Solution:
We have,
It goes through the coordinates (6,5) and (-2,-5). It means these points will satisfy the equation.
...(i)
...(ii)
Adding (i) and (ii), we get
Divide both sides by 4.
Put A=5 in (i), we get
Divide both sides by 5.
Therefore, the values of A and B are 5 and -4 respectively.