Algebra Answers

, In a cartesian plane (OXY) the solution of the equation e^2x – 2e^x + 1 = 0 represent,

A.     A point

B.     A line

C.     A circle

6, Solve the inequalitThe catheti of a triangle has length 4m. If the hypotenuse of the triangle is 9m, that is the projection of this catheti on the hypotenuse.

A.     16/9

B.     4/3

C.     4y tan(x+ ∏/3) ≥ √3 

5, A square of length l, a rhombus is out of this triangle making it have an angle of 60⁰ on a single diagonal. What is the area of this rhombus?

What is the ratio of the area of a square to the area of a circle of the same perimeter?

5, A square of length l, a rhombus is out of this triangle making it have an angle of 60⁰ on a single diagonal. What is the area of this rhombus?

6, Solve the inequality tan(x+ ∏/3) ≥ √3

7, Given a triangle with sides 7m, 8m and 3m. What is 50% the area of this triangle?

8, tan (22.5) can be expressed as

A.     (1+2^0.5)1/2

B.     (-1+2^0.5)

C.     (2+2^0.5)1/2

D.     None

In the carbonyl group, the oxygen atom has a high electronegativity which makes it

A.     Stable

B.     Non-polar

C.     Polarised

D.     Unstable

7, A ball A is thrown upward at the same time with a ball B. The initial speed of A is half that of B. What is the distance of A from the top of B?

5, A mass m suspended from a string of elastic constant K oscillates with Amplitude A. If the amplitude of the oscillations is doubled, which of the following statement is correct?

A.     The frequency of the oscillation doubles

B.     The space traveled by the mass in a period doubles

C.     The oscillation period doubles

D.     The frequency of the oscillations is halved

3, Which of the following relationship is correct?

A.     2kg*6cm² = 8J

B.     0.2 Coulomb / 10^-3Farad = 200V

C.     8Joule / 2m = 8kg * 2ms^-2

D.     10kg * 3m/s = 30Newton

The equation 0.01^x + 4= 14 has solution?

40, The polynomial x⁶ – 8 is divisible by?

A.     X-√2

B.     X² + 2

C.     X³ -3

D.     None of the above