Given :The given expression is $(-x)^3=-64$.To do :We have to find the value of x.Solution :$(-x)^3=-64$We know that,$-64 = -4 \times -4 \times -4$$-64= (-4)^3$$(-x)^3= (-4)^3$          [If $ x^m = a^m , x=a$]$-x = -4$$x = 4$Therefore, the value of x is 4.

Eight planets of our solar system are divide into two parts: inner planets and outer planets. The 4 inner planets are fairly small, rocky, and nearest to the Sun, they are - Mercury, Venus, Earth, and Mars. The 4 outer planets are on the far side of the asteroid belt, ... Read More

Given :The digits of a two-digit number differ by 3.If the digits are interchanged and the resulting number is added to the original number, we get 143.To do :We have to find the original number.Solution :Let the two-digit number be $10x+y$.$x-y=3$ or $y-x=3$If the digits are interchanged and the resulting ... Read More

A fire alarm system has a number of devices working together to detect and warn people through visual and audio appliances when smoke, fire, carbon monoxide or other emergencies are present.

The Brain is the part of the nervous system which is found inside the skull and acts as the central control point for the nervous system. It is the most complex organ in the human body which is made up of more than 100 billion nerves. Creativity, intelligence, attention, emotion, and ... Read More

Given :The given expression is $\frac{1}{3}-\frac{1}{9}$.To do :We have to simplify the given expression.Solution :$\frac{1}{3}-\frac{1}{9}$$\frac{1}{3}-\frac{1}{9}= \frac{1 \times 3}{3 \times 3}-\frac{1 \times 1}{9 \times 1}$                                  $= \frac{3}{9}-\frac{1}{9}$                                $=\frac{3-1}{9}$                                $= \frac{2}{9}$Therefore, the value of $\frac{1}{3}-\frac{1}{9}$ is $\frac{2}{9}$.

Fire Alarm is a system that is designed to detect and warn people through visual and audio appliances when smoke, fire, carbon monoxide, or other emergencies occurs, so that we can take action to protect ourselves, staff, and the general public.

Given :The given expression is $(-5)+(-8)=(-8)+(......)$.To do :We have to fill the blank and mention the property used in the expression.Solution :Commutative property for addition or multiplication states that we can add or multiply Integers/Rational numbers in any order.$a + b = b + a$Therefore, $(-5)+(-8)=(-8)+(-5)$The blank should be filled ... Read More

Given :The given statement is 'subtract the cube of $-2$ from the cube of $2$.'To do :We have to find the cubes of the given numbers and subtract them.Solution :Cube of $2 = 2^3 = 2 \times 2 \times 2 = 8$Cube of $-2 = (-2)^3=-2 \times -2 \times -2 ... Read More

Solution:Given ABCD and PQRS are rectangles.AC is diagonal and Q is the midpoint of AC.So AQ = QC(i)AD || PQ In triangle ACD.By Basic proportionality theoremDP/PC = AQ/QC = 1/1So DP = PC(ii)We know AQ = QC = 1/2 ACIn the rectangle PQRS, diagonals PR, and QC are equal in ... Read More