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3 years ago

Which of the following expressions represents the distance between 5/2 and 4 7/8 on a number line?

Mathematics

1 answer:

hjlf3 years ago

4 0

Answer:

<h2>C. None of the above</h2>

Step-by-step explanation:

$\text{The formula of a distance between x and y on a number line:}\\\\d=|b-a|=|a-b|\\\\\text{We have}\ a=\dfrac{5}{2}\ \text{and}\ b=4\dfrac{7}{8}.\ \text{The distance:}\\\\d=\left|\dfrac{5}{2}-4\dfrac{7}{8}\right|=\left|4\dfrac{7}{8}-\dfrac{5}{2}\right|}$

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2 years ago

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Answer:

The answer is "2793 miles"

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3 years ago

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3 years ago

H^2+14h=-31 Solve by completing the square

matrenka [14]

Since the constant has been moved to the left side, you can move on to the next step which is adding (b/2)² to both sides of the equation.

h² + 14h + (14/2)² = -31 + (14/2)²

Simplify the parenthesis and exponent.

h² + 14h + 7² = -31 + 7²

h² + 14h + 49 = -31 + 49

h² + 14h + 49 = 18

Factor the expression of the left.

(h + 7)(h + 7) = 18

Take the square root of both sides.

√(h + 7)(h + 7) = ± √9 • 2

(h + 7) = ± 3√2

h + 7 = ± 3√2

Subtract 7 from both sides.

You solutions are:

h = -7 + 3√2 → -2.7573 → -2.76

h = -7 - 3√2 → -11.2426 → -11.24

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3 years ago

Read 2 more answers