Graph the image of quadrilateral PQRS after a dilation with a scale factor of 2, centered at the origin. Be sure to label the new points. What are the new coordinates? PQRS

P'Q'R'S

P(-4,-3)
Q (-2, -3)
R (5.4)
S (3.4)

Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .

Write the equation in logarithmic form e^x=403.429

In the equation sqrt(n+5)-sqrt(11-10)=1. what is the value of n