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Prove that (-a)^2 is equal to a^2. Use this theorem (-a)(-b)=ab


Construct a table of valued of function using the interval of -5 to 5.

j(t)=1/(t²-2t+1)


Solve and give solution set for the following equation in R

(a) 2X+3<3X+4>X+5

(b) 2x^2+4=0

(c) 2sin ( 180-x) =1

(d) (X^2-X-6) ÷ (X^2-X-2)<0


Solve the following systems by using Gaussian Elimination with out partial pivoting

x1 − 3x2 + 2x3 + x4 = −4 2x1 − 6x2 + x3 + 4x4 = 1 −x1 + 2x2 + 3x3 + 4x4 = 12 − x2 + x3 + x4 = 0.


Find the equation of the line which passes through the points A (-2, 7) and B (2, -3)


Find the equation of the line passing through points (2, 5) and (-4, -7).


What are the coordinates of the suspect's car at its final destination?

(xy) = 

(b)

What is the distance (in mi) traveled by the suspect?


(c)

What is the distance (in mi) as the crow flies between the original position and the final position of the suspect's car? (Round your answer to two decimal places.)

 


8x - 2 = -9 + 7x


3. A rectangle has a length 6 more than its width. If the perimeter of the rectangle is 40 m, what are the length and width of the rectangle?