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3 years ago

Find the difference: square root of 20 - square root of 80

Mathematics

2 answers:

Mamont248 [21]3 years ago

8 0

Answer:

$-2\sqrt{5}$

Step-by-step explanation:

$\sqrt{20} = \sqrt{10*2} = \sqrt{5 * 2 *2} = \sqrt{2^2 * 5} = 2\sqrt{5} \\\\\sqrt{80} = \sqrt{20*4} = \sqrt{5*4 *4} = \sqrt{4^2 * 5} = 4\sqrt{5} \\\\2\sqrt{5} - 4\sqrt{5} = -2\sqrt{5}$

Volgvan3 years ago

5 0

Answer:

Step-by-step explanation:

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22. f(x) is stretched horizontally by a factor of 2 and reflected across the x-axis. Which choice shows the correct representati

goblinko [34]

Answer:

A. -f(1/2 x)

Step-by-step explanation:

Reflextion about the x-axis is

f(x) -> -f(x)

and horizontal dilation is

f(x) -> f(-x/b) where b is the factor of dilation.

so the proper answwer is

A. -f(1/2 x)

6 0

3 years ago

A 4.5 kg cat requires medication at a dose rate of 5 mg/kg once daily for the next 7 days. The tablets are available in 10 mg st

Marta_Voda [28]

Answer:

Approximately 16 tablets of medicine

Step-by-step explanation:

Based on the information above , we can use a Rule of Three to first figure out how many mg the cat would need to ingest per day.

$\frac{5mg}{1kg} = \frac{x}{4.5kg}$

$\frac{5mg*4.5kg}{1kg} = 22.5mg$

Now we see that the cat needs to take a daily dose of 22.5mg. Since the Tablets come at a strength of 10 mg per tablet then,

$22.5 / 10 = 2.25$

The cat would need to take 2.25 tablets per day. Since she needs to take the dose for the next 7 days then,

$2.25 * 7 = 15.75$

She would need to take approximately 16 tablets of medicine during the week .

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

5 0

3 years ago

An object is thrown from a platform. Its height (in meters), x seconds after launch, is modeled by h (x) = -5 (x + 1) (x -9)

777dan777 [17]

Answer:

Step-by-step explanation:

This is already factored for us, which is really nice, so now all we need to do is apply the Zero Product Property to the sets of parenthesis and solve for x, which will give us the 2 times that the object is on the ground.

x + 1 = 0 so

x = -1

x - 9 = 0 so

x = 9

We all know that time cannot ever be negative, so the time that the object is on the ground is 9 seconds after it's launched (which was from an initial height of 45 meters).

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3 years ago

Translate the sentence into an equation. Six more than the quotient of a number 5 and 9 equals . Use the variable y for the unkn

sashaice [31]

the answer is 6+5y=9

7 0

3 years ago

Identify an equation in slope intercept form for the line parallel to y= -2/3x+8 that passes through (4, -5)

Evgen [1.6K]

Answer:

3y = -2x -7

Step-by-step explanation:

The equation of the line;

y = $-\frac{2}{3}$ x + 8

Unknown:

Equation of the line passing through (4, -5);

Solution:

To solve this problem;

the equation of a line is given as;

y = mx + c

where x and y are the coordinate

m is the slope

c is the intercept

To solve this problem,

The slope $-\frac{2}{3}$ if the same as that of the new line since they are parallel;

Equation of the new line;

x = 4 and y = -5

-5 = $-\frac{2}{3}$ x 4 + c

-5 = $-\frac{8}{3}$ + c

c = -5 + $\frac{8}{3}$

c = $-\frac{7}{3}$

So, the equation of the line is;

y = $-\frac{2}{3}$ x - $\frac{7}{3}$

or ;

3y = -2x -7

7 0

3 years ago