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Rzqust [24]
3 years ago
15

At what position on the number line is the red dot located?

Mathematics
1 answer:
Setler [38]3 years ago
4 0

Answer:

D. Square root of 18

Step-by-step explanation:

The square root of 10 is 3.16.

The square root of 12 is 3.46.

The square root of 24 is 4.90.

The square root of 18 is 4.24.

The red dot is on 4.25 so your answer is the square root of 18.

Will you please mark me brainliest?

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given that 8-sqrt(18) over sqrt(2) = a + b sqrt(2) where a and b are integers find the value of a and b
Novay_Z [31]

Answer:

a = - 3 and b = 4

Step-by-step explanation:

Given

\frac{8-\sqrt{18} }{\sqrt{2} }

Simplify \sqrt{18}

= \sqrt{9(2)} = \sqrt{9} × \sqrt{2} = 3\sqrt{2}

Thus expression can be written as

\frac{8-3\sqrt{2} }{\sqrt{2} }

Multiply numerator/denominator by \sqrt{2}

noting that \sqrt{2} × \sqrt{2} = 2

= \frac{\sqrt{2}(8-3\sqrt{2})  }{\sqrt{2}(\sqrt{2})  }

= \frac{8\sqrt{2}-6 }{2}

Dividing each term on the numerator by 2

= 4\sqrt{2} - 3

= - 3 + 4\sqrt{2}

with a = - 3 and b = 4

6 0
3 years ago
Read 2 more answers
Which is not a likely area of application of statistics in business?
Roman55 [17]

Answer:

D.

Step-by-step explanation:

Statistics has a lot of usage in business.

Using statistics as well as statistical tools helps in the provision of data to be used for business analysis. With available data we can get patterns in a a large database. Statistics can be used for auditing, as in question option b. For option c, statistics can be used for making business forecasts after the careful observation of trends and patterns that are in the data.

Option d does not make use of statistics. It has nothing to do with statistics neither does it have a computational feature.

Therefore, d.) questioning the executive's strategic decision is the answer to this question

4 0
2 years ago
How can you find the area of an irregular polygon using area formulas?
algol [13]
Divide the polygon into separate shapes.  Like a rectangle and then a triangle.  
find the areas of those shapes and then add them together.

6 0
3 years ago
10. Which is the equation of a line that is perpendicular to the line represented by y=3/4x-1/2
Dmitry_Shevchenko [17]
Y = -4/3x -1/2 , perpendicular slopes are opposite reciprocals
7 0
2 years ago
F(x) = <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%2B7%7D%20-%5Csqrt%7Bx%5E2%2B2x-15%7D" id="TexFormula1" title="\sqrt{x+7} -\
elena-s [515]

Answer:

x >= -7  ................(1a)

x >= 3   ...............(2a1)

Step-by-step explanation:

f(x) =  \sqrt{x+7}-\sqrt{x^2+2x-15}  .............(0)

find the domain.

To find the (real) domain, we need to ensure that each term remains a real number.

which means the following conditions must be met

x+7 >= 0  .....................(1)

AND

x^2+2x-15 >= 0 ..........(2)

To satisfy (1),  x >= -7  .....................(1a) by transposition of (1)

To satisfy (2), we need first to find the roots of (2)

factor (2)

(x+5)(x-3) >= 0

This implis

(x+5) >= 0 AND (x-3) >= 0.....................(2a)

OR

(x+5) <= 0 AND (x-3) <= 0 ...................(2b)

(2a) is satisfied with x >= 3   ...............(2a1)

(2b) is satisfied with x <= -5 ................(2b1)

Combine the conditions (1a), (2a1), and (2b1),

x >= -7  ................(1a)

AND

(

x >= 3   ...............(2a1)

OR

x <= -5 ................(2b1)

)

which expands to

(1a) and (2a1)   OR  (1a) and (2b1)

( x >= -7 and x >= 3 )  OR ( x >= -7 and x <= -5 )

Simplifying, we have

x >= 3  OR ( -7 <= x <= -5 )

Referring to attached figure, the domain is indicated in dark (purple), the red-brown and white regions satisfiy only one of the two conditions.

3 0
3 years ago
Read 2 more answers
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