Explanation

Degree = sum of exponents on the variables.  

For 5x²yz: 2 + 1 + 1 = 4  

Last verified on 12-04-2026

Explanation

• An open sentence contains one or more variables (unknowns).
• Its truth value is not fixed (true or false).
• It becomes true or false only after substituting values.
• Closed sentence has no unknowns.
• Closed sentence always has fixed truth value.

Last verified on 11-04-2026

Explanation

Expand using distributive property (FOIL):

$$(x+3)(x-2)$$

x⋅x=x^2

x⋅(−2)=−2x

3⋅x=3x

3⋅(−2)=−6

Now combine like terms:

x^2−2x+3x−6=x^2+x−6

Explanation

 y = √(64 / (3x + 1))

Square both sides: 16= 64 / 3x + 1

Now solve:

$$16(3x+1)=64$$

$$48x+16=64$$

$$48x=48$$

$$x=1$$

Explanation

Explanation

The cube root of a number is a value that, when multiplied by itself three times, gives the original number.

In this case, 4 × 4 × 4 = 64, so 4 is the cube root of 64.

Last verified on 30-04-2026

Explanation

Time spent washing 3 cars = 3x

Time spent putting away = 10 minutes

Total time = 85 minutes

Equation: 3x + 10 = 85

Last verified on 19-03-2026

Explanation

Let's simplify:

(2x + 3) - (x + 2)

= 2x + 3 - x - 2

= x + 1

Last verified on 19-03-2026

Explanation

tan 45° = 1

cot 45° = 1

tan² 45° + cot² 45°

= 1² + 1²

= 1 + 1

= 2

Last verified on 19-03-2026

Explanation

Let's solve for x:

x / (x+2) = 4/5

Cross-multiply:

5x = 4(x + 2)

5x = 4x + 8

5x - 4x = 8

x = 8

Last verified on 19-03-2026