2 years ago

Help please

Mathematics

1 answer:

Digiron [165]2 years ago

7 0

Answer:

Option C.

Step-by-step explanation:

Shortest way to solve this question is to find the factors of the given expression.

The given expression is (x² + 13).

Now we have to factorize it.

(x² + 13) = x² + (√13)²

= x² + [-(i)²√(13)²] [Since i = √(-1)]

= x² - (i√13)²

= (x - i√3)(x + i√3) [Since (a² - b²) = (a + b)(a - b)]

Option C will be the answer.

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The segments shown below could form a triangle?

Leni [432]

Answer:

Option B; False

Step-by-step explanation:

Consider a Triangle Inequality to prove that these segments could form a triangle;

$| a - b | < c < a + b,\\| c - a | < b < a + c,\\| c - b | < a < b + c, Considering - a - segment AC ( 8 units ) - b - BC ( 7 units ), - c - BC ( 15 units )\\\\| 8 - 7 | < 15 < 8 + 7,\\1 < 15 < 15, Now 15 is not < 15, it is =, thus ;\\Solution ; False$