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3 years ago

What is the sum of adding two opposites together? *

Mathematics

1 answer:

BartSMP [9]3 years ago

5 0

Answer:

I'm guessing the opposites are negative and positive so whenever you add two opposite numbers it will always be 0. The answer will always be 0.

For example:

-3 + 3 = 0

4 - 4 = 0

-15 + 15

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Which of the following relations is a function?

Mashcka [7]

Answer:

oD is function

Step-by-step explanation:

(2,4),(-1,6),(-8,2),(2,3) is function

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3 years ago

Find the distance between the two points.

Harrizon [31]

<h2>Answer</h2>

$2\sqrt{10}$

<h2>Explanation</h2>

1. Use Distance formula

Important to use distance formula in such problems, so keep this formula memorized for future use.

The formula to find distance amongst two points is

$\sqrt{(x^2-x^1)^2 + (y^2 - y1)^2}$

2. Plug in the numbers into the formula:

1 -(-1)^2 + 3 - (-3)^2

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36 + 4 = 40

3. Find the square root of 40.

$\sqrt{40}$

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3 years ago

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3 years ago

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3 years ago

How many liters of a 20% alcohol solution must be mixed with 60 liters of a 90% solution to get a 80% solution?

leva [86]

x = liters of 20% solution

Mixing the 20% solution with the 60 L of 90% solution gives a new mixture with volume (x + 60) L. Each L of the 20% solution contributes 0.2 L of alcohol and thus a total of 0.2x L of alcohol, while the 60 L of 90% solution contributes 54 L of alcohol.

We want the concentration of the new mixture to be 80%, so we require

$\dfrac{0.2x+54}{x+60}=0.8$

Solve for x:

$0.2x+54=0.8x+42$

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$\implies\boxed{x=30}$

So you will need 30 L of the 20% solution.

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3 years ago