Explanation

To find the square root of 0.0676:

√0.0676 ≈ 0.26

Explanation

To evaluate 2(-7)²:

First, calculate the exponent:

(-7)² = (-7) × (-7) = 49

Now, multiply by 2:

2 × 49 = 98

Explanation

Set Difference (B A) means the elements in B that are not in A.

Given:

A = {2, 4, 5, 7}

B = {3, 4, 7}

Elements of B are {3, 4, 7}.

4 and 7 are also in A, so they are removed.

3 is not in A, so it remains.

Therefore, B A = {3}

Explanation

To find the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂), use the formula:

Midpoint = ((x₁ + x₂)/2, (y₁ + y₂)/2)

Given endpoints:

(3, -1) and (1, -5)

Plug in the values:

Midpoint = ((3 + 1)/2, (-1 + (-5))/2)

= ((4)/2, (-6)/2)

= (2, -3)

Explanation

1 gram (g) is defined as 1/1000th of a kilogram (kg), i.e., 1 g = 0.001 kg.

This follows the metric system, where 1 kg = 1000 g.

Last updated by NA on 26 April 2026

Explanation

To solve |2x| = -4:

Since the absolute value is always non-negative, there is no solution for:

|2x| = -4

The absolute value of any number cannot be negative.

The correct answer is:

{} (empty set, indicating no solution)

Explanation

Explanation

If x - 1 is a factor of x² - kx + 3, then substituting x = 1 should make the expression zero.

Substituting x = 1 in x² - kx + 3 = 0 gives:

(1)² - k(1) + 3 = 0 ⟹ 1 - k + 3 = 0 ⟹ k = 4.

Explanation

Given:

HCF (Highest Common Factor) = 2

LCM (Least Common Multiple) = 24

One number = 6

We know that:

HCF × LCM = Product of the two numbers

Substitute the given values:

2 × 24 = 6 × Other number

48 = 6 × Other number

Divide by 6:

Other number = 48 ÷ 6

Other number = 8

Explanation

To factorize 10y² - 3y - 1:

Look for two numbers whose product is 10 × (-1) = -10 and whose sum is -3.

These numbers are -5 and 2.

Rewrite the middle term:

10y² - 5y + 2y - 1

Now, factor by grouping:

(10y² - 5y) + (2y - 1)

5y(2y - 1) + 1(2y - 1)

Common factor (2y - 1):

(2y - 1)(5y + 1)