The sum of two numbers is 95, and their difference is 61. What are the two numbers? Suppose theta= 11pi/12. use the sum identity to find the exact value of sin theta? A dealer sells a certain type of chair and a table for $40. He also sells the same sort of table and a desk for $83 or a chair and a desk for $77. Find the price of a chair, table, and of a desk. 1. The stright line y=x+3 cuts the curve x^2 + y^2 = 29 at two points.
a) Prove that x^2 + 3x - 10 = 0
b) Hence find the coordinates of the points. What is an idempotent matrix? Find the matrix product, if possible. Show your work please|-1 3| |5 4|multiplied by |0 -2 6||1 -3 2| Whats X-y=3 2x+y=12 Row reduction of the augmented matrix 2x-y=7 3x+4y=-6 A child has a piggy bank that contains only quarters and dimes. Altogether, there are 27 coins in the bank and the total value of the coins is $4.50. How many quarters and how many dimes are in the piggy bank? I cant get the right answer no matter what I do Write a function to represent each series of transformations: • rotation of 90 degrees counterclockwise about the origin, point O, then a reflection across the x-axis • reflection across the y-axis, then a translation a units to the right and b units up • translation a units to the right and b units up, then a rotation of 180 degrees counterclockwise about the origin, then a reflection across the y-axis Solve the system of equations using cramer’s rule -x+y-3z=-4 3x-2y+8z=14 2x-2y+5z=7