Which of the following equations is for a cotangent function having a period of pi/2 Y=cot4 x
Y=cot 1/2 x
Y=cot 1/4 x
Y= cot2 x

1. which statement below is true for hyperbolic geometry?

answer: d  

the sum of the measures of the angles in a triangle is always less than 180 degrees.

2. identify the statement that is true in spherical geometry.

answer: d  

the sum of the measures of the angles of a triangle is greater than 180.

3. what can be said about the vertices of an equilateral triangle drawn in poincaré’s system?

answer: b  

the vertices are equidistant from the center of the circle.

4. satellites sputnik, yeltsin, and plekov often temporarily line up in order in a great circle. the circumference of the earth is 24,900 miles, and the satellites orbit at about 150 miles above the surface. if, while in a great circle, sputnik is 9,000 miles from yeltsin, and yeltsin is 10,500 miles from plekov, how far apart are sputnik and plekov?

answer: b  

6,342 miles

5. identify the statement that is true in spherical geometry.

answer: d  

two distinct lines intersect in two points.

josh is incorrect

x= 7 and x= -1

step 2 is wrong and honestly first step is not needed, you just need to figure out the factors

i know its wrong because if you plug in the solutions josh found, they do not work (in the original equation)

x^2 -6x -7 = 0

(x-7) (x+1) = 0

x-7=0 x+1=0

x= 7 x= -1