Three houses are mapped on a coordinate grid. Josh’s house is located on Red Street at (-5, 9).
Sarah’s house is located on Green Street at (-9,-2).
Emma’s house is located on the corner of Red Street and Green Street at (3,9).
What is the measure of the angle (in degrees) where Red Street and the Green Street intersect?

Select all the correct locations on the image. select all the expressions that result in a product that is a rational number. mulitiple choice4/3 x 12/3 32/4 x 15/4[tex]\sqrt{\frac{3}{2} }[/tex] x 22/7[tex]\sqrt{11}[/tex] x 2/3

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) = .

The art class is planning to paint a mural on an outside wall. this figure is a scale drawing of the wall. width: 11 in length: 28 in unit rate: 1.5 ft per in. write the ratio of the area of the drawing to the area of the actual mural. write your answer as a unit rate. show that this unit rate is equal to the square of the unit rate 1.5 ft per in