Charlie has the utility function u(xa, xb) =xaxb. his indifference curve passing through 32 applesand 8 bananas will also pass through the point where he consumes 4 apples and

Find the perimeter of the triangle with vertices  d(3, 4),  e(8, 7), and  f(5, 9). do not round before calculating the perimeter. after calculating the perimeter, round your answer to the nearest tenth.  

Find the maximum value of p= 4x + 5y subject to the following constraints :

]supplementary angles are two angles that add up to . • complementary angles are two angles that add up to degrees. • adjacent angles share a and a • congruent angles have the measure. • an triangle has one angle that is greater than 90 degrees. • a triangle with angles 45°, 45°, and 90° would be a triangle