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- aIf HP=4, PJ=5, and PM=2, find LP. _ bIf HP=x+1, PJ=x1, LP=8, and PM=3, find x. _△XYZ is given with X(2, 0), Y(0, −2), and Z(−1, 1). Which of the following can be used to prove that △XYZ is isosceles?XYZ is given with X(2, 0), Y(0, −2), and Z(−1, 1). Which of the following can be used to prove that △XYZ is isosceles
- 1. Solve by Cramer’s rule 3x + y + 4z = 11 4x – 4y + 6z = 11 6x – 6y = 3 2. Find the volume of tetrahedron given the following (1, 0, 1), (0, 1, 0), (0, 0, 1), and (1, 1, 1).A particle is acted upon by constant forces 4i+j-3k and 3i+j-k and is displaced from the point (1,2,3)to the point (5,4,1). Find the total work spent by the forces ?Show that if x,y∈Z and 3|x^2+y^2 then 3|x or 3|y 6. Show that if c=sa+tb where c=(a,b), then(s,t)=1.
- Suppose L(5, 4) was reflected across the line y = x then translated along the vector <4, 0>. What is the y-coordinate of L''?Making use of the fact that ˆα = y − βˆx and βˆ = SxySxx, show thatni=1[yi − (αˆ + βˆxi)] 2 = Syy − βˆSxyConsider z = z (x, y) Find (∂z / ∂x )and (∂z / ∂y )by implicit derivation and confirm that the result obtained