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Hi nicole19,

**Welcome to the forum!**

Hi;

The solution #3785 is correct. Neat work, zetafunc!

#3786. Determine the nature of the roots of the following quadratic equation:

(x - 2a)(x - 2b) = 4ab.

Hi;

The solution #3784 is correct. Excellent, zetafunc!

#3785. Determine the nature of the roots of the following quadratic equation:

Hi;

The solution #3783 is correct. Excellent, zetafunc!

#3784. Find the value of k for which each of the following systems of equations have infinitely many solution:

2x + 3y = k,

(k - 1)x + (k + 2)y = 3k.

Hi;

The solution #3782 (two parts) is correct. Brilliant, zetafunc!

#3783. Find the value of k for which each of the following systems of equations have infinitely many solution:

kx + 3y = 2k + 1,

2(k + 1)x + 9y = 7k + 1.

Hi;

The solution #3781 is correct. Neat work, zetafunc!

#3782. Find the value of k for which the system

kx + 2y = 5

3x + y = 1

has (i) a unique solution, and (ii) no solution.

Hi;

The solution #3780 is correct. Excellent, Monox D. I-Fly!

#3781. For what value of k the following system of equations will be inconsistent?

4x + 6y = 11,

2x + ky = 7.

Hi;

The solution #3779 is correct. Neat work, zetafunc!

#3780. Find the value of k for which the following system of equations has no solution:

2x + ky = 11,

5x - 7y = 5.

Hi;

The solution #3778 is correct. Splendid, zetafunc!

#3779. Find the value of k for which each of the following system of equations have infinitely many solution:

2x + (k - 2)y = k,

6x + (2k - 1)y = 2k + 5.

Hi;

The solution 638 is correct. Brilliant!

639. If 1 is a root of the quadratic equation

and the quadratic equation has equal roots, find the value of b.Hi;

The solution #3776 is correct. Neat work ,zetafunc!

#3778. Find the value of k for which each of the following system of equations have infinitely many solution:

x + (k + 1)y = 4,

(k + 1)x + 9y = 5k + 2.

Hi;

The solution #3776 is correct. Keep it up, zetafunc!

#3777. Find the value of k for which each of the following system of equations have infinitely many solution:

2x + 3y = 2,

(k + 2)x + (2k + 1)y = 2(k - 1).

Hi;

The solution #3775 is correct. Good work, zetafunc!

#3776. Find the value of k for which each of the following system of equations have infinitely many solution:

2x - 3y = 7,

(k + 2)x - (2k + 1)y = 3(2k - 1).

Hi;

Good attempt, Monox D. I-Fly!

#6643. Name the nation : Total area : 1,972,550 square kilometers (761,610 sq mi) (13th in the World); North America.

#6644. Name the nation : Total area : 1,566,000 square kilometers (605,000 sq mi) (18th in the World); Asia.

Hi;

The solution #6201 is correct. Good work, Monox D. I-Fly!

#6202. A circus tent is cylindrical to a height of 4 meters and conical above it. If its diameter is 105 meters and its slant height is 40 meters, find the total area of the canvas required in square meters.

Hi;

The solution #3774 is correct. Neat work, zetafunc!

#3775. Find the value of k for which each of the following system of equations have infinitely many solution:

8x + 5y = 9,

kx + 10y = 18.

Hi;

Checked a few samples. Works well. Very Good!

Hi;

The solution M #285 is correct. Excellent, bobbym!

M #286. If the radii of the circular ends of a conical bucket which is 45 cm high be 28 cm and 7 cm, find the capacity of the bucket.

Hi;

Both the Answers, II 172 and II 173, are correct. Perfect, bobbym!

II 174. What is the refractive index of Silver Bromide?

II 175. What is the refractive index of Aluminium oxide (British English) or aluminum oxide (American English)?

Hi;

Both the Answers, #6641 and #6642, are correct. Marvelous, bobbym!

#6643. What does the abbreviation CGI signify? (a standard for dynamic generation of web pages by a web server)

#6644. What does the abbreviation PNG signify? (.png, an image file format)

Hi;

The solution #6200 is correct. Excellent, bobbym!

#6201. The material of a cone is converted into the shape of a cylinder of equal radius. If the height of the cylinder is 5 cm, then find the height of the cone.

Hi;

The solution #3773 is correct. Neat work, bobbym!

#3774. Find the value of k for which each of the following system of equations have infinitely many solution:

kx - 2y + 6 = 0,

4x - 3y + 9 = 0.

Hi;

It appears the link is defunct.

Hi;

The Answer #6639 is correct. Neat work, bobbym!

#6641. Who was known as *Il Duce*?

#6642. Name the person : His steadfast adherence and defense of the views he expressed earned him the nickname *l'Incorruptible* (The Incorruptible).

Hi;

The solution #3772 is correct. Neat work, bobbym!

#3773. Find the value of k for which each of the following system of equations have infinitely many solution:

4x + 5y = 3,

kx + 15y = 9.