1.) Anna wants to make a rectangular wooden frame with an area of 280 square inch and perimeter of 34 inches.
The equation that represents the area of the frame in terms of it's width is x²-17x+280=0. What is the relationship between the sum of the roots of the quadratic equation x²-17x+280=0 to given perimeter?
a.) The sum of the roots is half the perimeter.
b.) The sum of the roots is twice the perimeter.
c.) The sum of the roots and the perimeter are equal.
d.) The sum of the roots is the negative one-half the perimeter.
2.) The area of the rectangular lot that Ben bought is represented by the equation x²-26x + 168=0. Without solving for the dimensions, what will be the perimeter (in meters) of the lot?
a.) 26 meters
b.) 84 meters
c.) 52 meters
d.) 168 meters
3.) if the sum and product of the roots of quadratic equation are -2/4 and -5/3 respectively, what is the value of the coefficient of a?
a.) -2
b.) 3
c.) 4
d.) 12
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Answers & Comments
Answer:
1.) c
2.)d
3.)b
Step-by-step explanation:
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