Explanation

Explanation

Explanation

Magnification refers to increasing the size of an image or object.

It is commonly used in optics, like microscopes or lenses, to enlarge small details.

Explanation

The trigonometric identity is:

Sec²θ - Tan²θ = 1

Explanation

Let's break it down step by step:

1. (√9²+12²) = √(81+144) = √225 = 15

2. (-3)² = 9

3. 15 + 9 = 24

4. (-1 + 2 + 3) = 4, and 4³ = 64

5. 24 - 64 = -40

6. ³√-125 = -5 (since (-5)³ = -125)

7. -40 - (-5) = -40 + 5 = -35

Explanation

Let's evaluate each statement:

1. -5 + 1 = -4 (not 4), so this statement is false.

2. 4 - 5 = -1 (true)

3. 2 + (-1) = 1 (true)

4. -7 + (-6) = -13 (true)

Explanation

15 divided by -3:

15 ÷ (-3) = -5

Explanation

Let's solve the equations:

1. x + y = 5

2. x - y = 3

Add both equations:

2x = 8

x = 4

Now, substitute x = 4 in equation (1):

4 + y = 5

y = 1

The solution is (4, 1).

Explanation

A surd is an irrational number or expression containing a square root, cube root, etc., that can't be simplified to a rational number.

Example: √2, ³√5 are surds because they involve radical signs.

Explanation

The power set P(A) of a set A with n elements has 2^n elements.

Here, A = {a, b, c, d, e} has 5 elements, so n = 5.

The number of elements in P(A) is 2^5 = 32.