Type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. the factors of 5y2 − 2y − 7 are (5y − 7) ( )

y + 1

Step-by-step explanation:

Factor 5y^2 - 2y - 7.

= (5y - 7)(y + ?)

There must be a y in the second parentheses  in order to get the 5y^2. The ? must be  1 because -7 * 1 = the -7 in the original expression.

The answer is x + 1.

We can further confirm the correctness of x + 1 by expanding the factors to see if we get the original expression:-

(5y - 7)(y + 1)

= 5y(y + 1) - 7(y + 1)

= 5y^2 + 5y - 7y - 7

= 5y^2 - 2y - 7   which is the original expression.

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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