Find the quadratic equation whose roots are – ½ and 3

Simplify ${{(x-3y)}^{2}}-{{(x+3y)}^{2}}$

Which shaded region in the following diagram represents$(P\cup Q)\cap R$?

The angles of a triangle are (x +10)^o, (2x – 40)^o and (3x – 90)^o. Which of the following accurately described the triangle

Find the value of x in the diagram

From the diagram, which of the following statements is/are correct?

I. XQ is a radius of a centre Q

II. $\left| XQ \right|=\left| QY \right|$

III. $\left| QX \right|=\left| XY \right|$

Simplify $\tfrac{1}{2}\sqrt{32}-\sqrt{18}+\sqrt{2}$

If a student is picked at random from the four Departments, what is the probability that he is not from the Education Department

The pie shows that the distribution of 4320 students who graduated from foru Department in a university.

How many students from the Science?

A box contains black, white and red identical balls. The probability of picking a black ball at random from the box is $\tfrac{3}{10}$  and the probability of picking a white ball at random is $\tfrac{2}{5}$. If there are 30 balls in the box, how many of them are red?