Explanation

Given:

a + b + c = 2(a-b + a-c)

(a+b) - (a-c) = 3

Simplify equation 1:

a + b + c = 2(2a - b - c)

a + b + c = 4a - 2b - 2c

3a = 3b + 3c

a = b + c ... (i)

Simplify equation 2:

b + c = 3 ... (ii)

From (i) and (ii),

a = 3

Last verified on 06-03-2026

Explanation

The denominator x + 2 must not be zero.

So x ≠ −2, therefore the domain is all real numbers except −2.

Last verified on 06-03-2026

Explanation

Explanation

4² = 6

5 × 5 = 80

80 + 3 = 83

6 + 83 = 89

Last verified on 22-02-2026

Explanation

Explanation

We are given:

$$11a=1331

Now,
$1331 = 11 times 11 times 11$
$1331 = 11^3$

So,

$11^a = 11^3$

Therefore,

a = 3

Last updated 18-02-2026

Explanation

y - 3x ≥ 5

A. (3, 8): 8 - 3(3) = 8 - 9 = -1 < 5

B. (1, 10): 10 - 3(1) = 7 ≥ 5 TRUE

C. (2, 1): 1 - 3(2) = -5 < 5

= (1, 10)

Last verified on 10-02-2026

Explanation

f(x) = x³ - 6x² + 11x - 6 = 0

Try simple values:

f(1) = 1 - 6 + 11 - 6 = 0

=> x = 1 is a root

Last verified on 10-02-2026

Explanation

A(3, 10) B(3, 2)

Distance = √[(x2-x1)² + (y2-y1)²]

= √[(3-3)² + (2-10)²]

= √[0 + (-8)²]

= √64

= 8

Last verified on 10-02-2026

Explanation

(x+3)/(x+7) = 3/7

7(x+3) = 3(x+7)

7x + 21 = 3x + 21

4x = 0

x = 0

Last verified on 10-02-2026