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Answer: -2w^2 + 25w = 25 or -2w^2 + 25w - 25 = 0</h3>
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Explanation:
Refer to the diagram below. The width is w. We have two opposite and parallel sides equal to this. The other two parallel congruent sides are L = 25-2w meters long. We start with the total amount of fencing, and then subtract off the two width values, so 25-w-w = 25-2w.
The area of the rectangle is
Area = length*width
Area = L*W
Area = (25-2w)*w
Area = 25w - 2w^2
Area = -2w^2 + 25w
Set this equal to the desired area (25 square meters) to get
-2w^2 + 25w = 25
and we can subtract 25 from both sides to get everything on one side
-2w^2 + 25w - 25 = 0
side note: The two approximate solutions of this equation are w = 1.0961 and w = 11.4039 (use the quadratic formula or a graphing calculator to find this)
Actually I didn't see the (-5, -27), the answer would be -2.
Answer:
The scale factor of the triangle if of 3.
Step-by-step explanation:
All you have to do is use figure A and either multiply or divide by a number to get figure B. In this case, the straight vertical side of Figure A is 6 units, and the straight vertical side of Figure B is 2. So 6 divided by 2 is 3. That means that the scale factor of the triangle is of 3. The triangle contracted it's size by 3.
Answer:
80 ounces
Step-by-step explanation:
In one pint, there is 16 ounces. Thus, if she picked five pints, 16 × 5 = 80 ounces.
Another way to solve this problem is by setting a proportion.
Therefore, the answer is 80 ounces.
Answer:
6 hours
Step-by-step explanation:
8 × 3/4 hours
= (8 x 3) / 4
= 24/4
= 6 hours
