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Vikki [24]
3 years ago
13

The general form of the equation of a circle is x^2+y^2−4x−8y−5=0.

Mathematics
1 answer:
lakkis [162]3 years ago
5 0
X² - 4x    + y² - 8y    = 5

Complete the square:
x² - 4x + (4) +  y² - 8y + (16)    = 5 + (4) + (16)
→  (x - 2)²    +  (y - 4)²    = 25

Center: (2,4)
radius: √25 = 5
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Which of the following is 2/11 closest to?<br> 0.<br> 1/2.<br> 1.
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2/11 is 0.181818 as a decimal so closest to 0.

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A 100 mL vial of 25% solution is available in stock. An order is recieved for 6 g to be added to 250 mL of fluid for an iv infus
Ne4ueva [31]

9514 1404 393

Answer:

  274 mL

Step-by-step explanation:

Often medical solutions expressed as a percentage are not really a percentage as such. A percentage is the ratio of two quantities with the same units.

Here, the context given by the problem suggests the "25%" solution is really (25 g)/(100 mL). That is, the units are grams and milliliters--different units.

With that assumption, we want to find the volume (v) of solution needed to deliver 6 g of medicine. An appropriate proportion* is ...

  v/(6 g) = (100 mL)/(25 g)

  v = (6 g)(100 mL)/(25 g) = 24 mL

So, the total volume of the infusion is ...

  250 mL +24 mL = 274 mL

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* The concentration is given in terms of g/mL, but we have used a proportion that is mL/g. The reason for that is we want the variable to be in the numerator of the ratio. The variable here represents volume, so we have written the proportion with volumes in the numerators.

Having the variable in the numerator means the equation can be solved in one step--by multiplying by its denominator.

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3 years ago
Create a system of equations that can be used to determine the rental cost of each truck for the 1-day move. Be sure to specify
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The equation are y = 0.59x + 29.95 for company A and y = 0.79x + 19.95 for company B.

<h3>Linear equation</h3>

Linear equation is in the form:

y = mx + b

where y,x are variables, m is the rate of change and b is the initial value of y.

Let y represent the total cost of rental for each truck in x hours.

From the table, for company A:

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For company B:

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The equation are y = 0.59x + 29.95 for company A and y = 0.79x + 19.95 for company B.

Find out more on linear equation at: brainly.com/question/14323743

7 0
2 years ago
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