sovlve theas two math problems and show your work.?
first ? : solve the following equations : y = x^2 +4x + 1 and y = 5x + 3 and my last question of the day is Mr. petri has a rectangular plot of land with length = 20 feet and width = 10 feet. he wants to design a flower garden in the shape of a circle with two semicircles at each end of the center circle. he will fill in the the surounding area with wood chips. if one bag of wood chips covers 5 squar feet, how many bags must he buy?
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- i'm assuming i'm supposed to solve for when these are equal to each other? x^2 +4x + 1= 5x + 3 x^2 -x -2 = 0 use quadratic formula x = (-1 plus or minus square root of 1 - 4(1)(-2)) all divided by 2 x = -1/2 plus or minus 3 x = 5/2 and x = -7/2 length = 20 feet and width = 10 feet shape of a circle with two semicircles one bag of wood chips covers 5 squar feet first find area of semi circles. 2 half circles area adds to 1 whole circle the diameter of the circle is going to be the width of the rectangular plot. therefore the radius of each circle is 1/2 the width which is 5ft area of circles = pi(5)^2 = 25 pi ft squared the area of the entire plot is 20 x 10 ft which is 200 ft squared 200 ft - 25 pi ft = 121.4601837 ft squared each bag will cover 5 square feet 121.4601837/5 = 24.29 bags so 25 bags of wood chips is needed
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