What is The answer to this question?

Mathematics

1 answer:

frutty [35]3 years ago

5 0

Answer:

x = 5 units.

Step-by-step explanation:

We use the theorem which states that the lengths of 2 tangents to a circle from one point outside of the circle are equal.

Therefore, as you see from the diagram, the lengths of the 2 tangents containing the 2 parts of the line x must be equal to 2 and 3 units.

So x = 2 + 3 = 5 units (answer).

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elena-s [515]

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$x(x + 2) = 15 \\ \\ {x}^{2} + 2x = 15 \\ \\ {x}^{2} + 2x - 15 = 0 \\ \\ {x}^{2} + 5x - 3x - 15 = 0 \\ \\ x(x + 5) - 3(x + 5) = 0 \\ \\ (x + 5)(x - 3) = 0 \\ \\ x + 5 = 0 \: or \: \: x - 3 = 0 \\ \\ x = - 5 \: \: or \: \: x = 3 \\ \\ \because \: x \: can \: not \: be \: - ve \\ \\ \therefore \: x = 3 \\ \\ \implies \: x + 2 = 3 + 2 = 5 \\ \\ perimeter \: of \: rectngle \\ = 2(5 + 3) \\ = 2 \times 5 \\ = 16 \: ft$

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