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Which one of the following conditions shall occur because the line of equation y=mx+n does not pass through the fourth quadrant of the Cartesian plane?

A.     m>0, n<0

B.     m>0, n=0

C.     m<0, n<0

m>0, n>0


In a right angle triangle ABC of cathets AC=12, CB= 5 two arcs of a circle are drawn, one of center B and radius 5, which cut the hypotenuse respectively at points M and N. The length of the MN segment is?


A right-angle triangle has an angle of 600 and the height on the hypotenuse to 1cm, then its perimeter is? 


, Let ABC be a right-angle triangle in B and of area S. Let a be the internal angle with vertex in A and we consider the point D on the side BC such that the segment AD can form an angle of width a/2 with AB then the area of triangle ABC is ?

A.     Greater than S/2

B.     Equal to S/2

C.     Less than S/2

None of the above


, The solutions of the inequality IIxI-1I <=1/2 are ?



The remainder of the division of the polynomial x2 +1 by the polynomial x-1 is
A. 0
B. 1
C. 2
D. None of the above

Multiply 53 by 24, firstly by breaking down 24 in its terms (20 + 4) and secondly by breaking down 24 in its factors (6 * 8). Show all your steps.


. If one root of the quadratic equation ૛࢞૞ − ૛࢞ + ࢑ ૙ = is the reciprocal of the other

then find ࢑ .


given a function 4x-4 what is y when x is 1, 2, and 3



1.1 Using graphical method, solve the equation; 𝑥

2

- 3𝑥 – 4 = 0

1.2 Solve the equation; x

2

- 8x + 7 = 0 using the Quadratic Formula