Parallelogram ABCD has diagonals AC and DB that intersect at P. If AP=8x−56, PC=24, PB=36, PD=4y+20, AB=4x+3y, and BC=5x−4y, find the perimeter of this parallelogram.

The acceleration of an object due to gravity is 32 feet per second squared. what is acceleration due to gravity in inches per second squared?

Arefrigeration system at your company uses temperature sensors fixed to read celsius (°c) values, but the system operators in your control room understand only the fahrenheit scale. you have been asked to make a fahrenheit (°f) label for the high temperature alarm, which is set to ring whenever the system temperature rises above –10°c. what fahrenheit value should you write on the label?

To diagonalize an nxn matrix a means to find an invertible matrix p and a diagonal matrix d such that a pdp d p ap or [1 3 dh epap 3 let a=-3 -5 -3 3 3 1 step 1: find the eigenvalues of matrix a "2's" step 2: find the corresponding eigenvectors of a step 3: createp from eigenvectors in step 2 step 4 create d with matching eigenvalues.