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2 years ago

What number can you add to √5 to get a rational number? A.) -√5 B.) √5 C.) 0 D.) 5

Mathematics

2 answers:

qwelly [4]2 years ago

8 0

Question

What number can you add to √5 to get a rational number?

A.) -√5

B.) √5

C.) 0

D.) 5

Answer:

A.) -√5

Hope this helps!

marta [7]2 years ago

4 0

The answer is √5.

Glad to help you!

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Step-by-step explanation:

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2. Green region. The boundary green line passes through the points (6,-1) and (0,3), then its equation is

$\dfrac{x-0}{6-0}=\dfrac{y-3}{-1-3},\\ \\-4x=6(y-3),\\ \\-2x=3y-9,\\ \\2x+3y-9=0.$

This line is solid, so the sign for the inequality also should be with the notion "or equal to".

From the diagram you can see that the origin doesn't belong to the blue region, then its coordinates satisfy the inequality. Thus,

$2x+3y-9\ge 0.$

3. The system of linear inequalities that represents these graphs is

$\left\{\begin{array}{l}5x-y-7\le 0\\2x+3y-9\ge 0\end{array}\right.$

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