First, make a table regarding both of the equations. You will eventually find out that both lines intersect at the point (2, 5) after you find the points on the table. From there, subtract x from both sides in the equation x + y = 2. You will get y = -x + 2. Since they said the line was parallel, find a line that has the slope of negative one. Since we know that this line intersects the point in which the first two lines intersect, we know that the y-intercept will be 7. The equation of the line would be y=-x+7.
Multiply both sides by 2. Then, divide both sides by a to get b^2=(2P/a). Take the square root to get the value of b, which is sqrt(2P/a).
Square both sides of the equation to get P^2=(b+c)/3. Cross multiply to get 3P^2=b+c. Subtract b from both sides to get c=3P^2-b.
Number of apples in pounds picked up by Keira = K Number of apples in pounds picked up by Larry = L Number of apples in pounds picked up by Gita = G Total number of apples they picked all together in pounds = 8360 Now from the given question, we know Number of apples picked up by Kiera = 2L So K = 2L L = K/2 Again Kiera picked up 3 times as many apples as Gita picked. So, K = 3G G = K/3 Now if we add all the apples in pounds picked up by the three of them. Then K + L + G = 8360 K + (K/2) + K/3) = 8360 (6K + 3K + 2K)/6 = 8360 11K/6 = 8360 11K = 8360 * 6 11K = 50160 K = 4560 Then L = K/2 = 4560/2 = 2280 G = K/3 = 4560/3 = 1520 Now we can say that Kiera picked 4560 pounds of apple Larry picked 2280 pounds of apple Gita picked 1520 pounds of apple
