A farmer is enclosing three identical rectangular areas for pens as shown below. using 56 feet of total fencing. The total area enclosed by all three of the pens is 96 square feet.
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(a) Write an equation, based on the amount of fencing, that
relates the variables x and y, the overall dimensions.
(b) Write an equation, based on the total area, that also x
relates the variables x and y.
(c) Solve the system of equations that you created in (a) and (b) algebraically to find all possibilities for the
overall dimensions.

Find the length of the diagonal of the rectangle. round your answer to the nearest tenth. || | | 8 m | | | | 11 m

Write the equation of a line that is perpendicular to the given line and that passes through the given point. –3x – 6y = 17; (6, 3) y = x – 9 y = 2x – 9 y = –2x – 9 y = x + 0 3. is the relationship shown by the data linear? if so, model the data with an equation. x y 1 5 5 10 9 15 13 20 the relationship is linear; y – 5 = (x – 1). the relationship is not linear. the relationship is linear; y – 5 = (x – 1). the relationship is linear; y – 1 = (x – 5). write an equation in point-slope form for the line through the given point with the given slope. (–10, –1); m = y + 10 = (x + 1) y – 1 = (x – 10) y – 1 = (x + 10) y + 1 = (x + 10) 5. write an equation for each translation of . 6.5 units up y + 6.5 = | x | y = | 6.5 x | y = | x | + 6.5 y = | x | – 6.5 6. write an equation for each translation of . 5.5 units right y = | x | + 5.5 y = | x – 5.5 | y = | x | – 5.5 y = | x + 5.5 | 7. which equation translates y = | x | by 8 units to the left? y = | x | – 8 y = | x | + 8 y = | x – 8| y = | x + 8|

Jenny borrowed $500 for five years at 4 percent interest, compounded annually. what is the total amount she will have paid when she pays off the loan? total amount = p (1 + i)t a. $608.33 b. $729.99 c. $765.77 reset next