Explanation

For the point $(a,-a)$:

$$x=a,y=-a$$

Therefore:

$$y=-x$$

$$Last\; updated\; 27-07-2026\; by\; NA$$

Explanation

Given:

Write the terms as:

Using the formula:

For $n=10$:

Last updated 27-07-2026 by NA
​

Explanation

Given:

• $x+y=16$
• $x-y=3$

Using the identity:

x2−y2=(x+y)(x−y)
$$=16\times 3$$

=48

Last updated 27-07-2026 by NA
​

Explanation

If y is directly proportional to x, then:  

y = kx, where k is the constant of proportionality

Given x = 2, y = 5:  

5 = k _ 2  

k = 5/2

Now find y when x = 7:  

y = (5/2) _ 7  

y = 35/2

Last verified on 28-07-2026

Explanation

Volume of cube = side³

Side = ∛Volume = ∛275.

Last verified on 27-07-2026

Explanation

2x + 4x = 3 − 15

6x = −12, therefore x = −2.

Last verified on 27-07-2026

Explanation

The degree of a polynomial = the highest power of x.

In 2kx² − x + 1:  

2kx² has x² → power 2  

x has x¹ → power 1  

1 has x⁰ → power 0

Highest power = 2

Last verified on 27-07-2026

Explanation

Distance from origin formula: √(x² + y²)

For (2, 1): √(2² + 1²) = √(4 + 1) = √5.

Last verified on 26-07-2026

Explanation

When a power is raised to another power, multiply the exponents.

(2³)² = 2³×² = 2⁶.

Last verified on 26-07-2026

Explanation

√4x-3=4

Squaring both sides:

4x−3=16
$$4x=19$$x=19​/4=4.75

$$Last\; updated\; 25-07-2026\; by\; NA$$