3 years ago

Which number completes the square? x2 + 18x + _____?

Mathematics

1 answer:

yuradex [85]3 years ago

8 0

81 because (a + b)^2 = a^2 + 2ab + b^2
Thus x^2 + 2(9)(x) + (9)^2 = x^2 + 18x + 81

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What is the length of LM if L(3,4) and M(1,-2)? Round to the nearest tenth.

kari74 [83]

Answer:

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Step-by-step explanation:

Given

L(3,4)

M(1,-2)

Determining the length of LM

(x₁, y₁) = (3, 4)

(x₂, y₂) = (1, -2)

The length of the distance between (x₁, y₁) and (x₂, y₂) can be determined using the formula

$d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

substituting (x₁, y₁) = (3, 4) and (x₂, y₂) = (1, -2)

$=\sqrt{\left(1-3\right)^2+\left(-2-4\right)^2}$

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$=\sqrt{4+36}$

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$=\sqrt{2^2\times \:10}$

$=2\sqrt{10}$

$=6.3$

Therefore, we conclude that the length of LM if L(3,4) and M(1,-2) will be:

$d = 6.3$

Hence, option D is correct.

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