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Len [333]
3 years ago
10

Which expression is equivalent to sqrt8/x^6? Assume x > 0

Mathematics
2 answers:
ivolga24 [154]3 years ago
8 0

Answer:

4th option

Step-by-step explanation:

The √8 is √4 time √2, and √4 is a perfect square equaling 2. So we have,

\frac{2\sqrt{2} }{\sqrt{x^6} }

The \sqrt{x^6} is x³.

\frac{2\sqrt{2} }{x^3}

So we have our final answer!

Dmitry [639]3 years ago
6 0

Answer:

√ 8 / x^6

= 2√2 / x³

That's option D

Hope this helps

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Find a simplified expression to represent the area of the triangle. The area formula for a triangle is bh, where b is the base a
snow_tiger [21]

Answer:4x^2+22x-12

Step-by-step explanation:

height=(2x+12)

base=(4x-2)

Area of =(base x height)/2

Area of =((4x-2)(2x+12))/2

Area of =(8x^2+48x-4x-24)/2

Area of =(8x^2+44x-24)/2

Area of =4x^2+22x-12

6 0
3 years ago
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1) Which linear equation BEST represents the line of best fit for the scatterplot? A) y = x B) y = 3x C) y = -3x D) y = 5x + 1 2
Tresset [83]

Answer:

1) A. y = x + 2

Once a line of best fit has been placed upon a scatter graph it is straightforward to find the equation. The general equation of a straight line is: y = mx + c Where m is the slope (gradient) of the line and c is the y-intercept.

4) d. strong positive correlation.

The slope of the line is positive. Most points lie close to the line.  

(I am not sure if this is correct or not, I am so sorry)

3 0
3 years ago
today a boat valued at $45,000.Thebvalue is expected to decrease at a rate of 8.5% each year.What is the value of the boat expec
Stels [109]

Current value of the boat = $45000

Rate at which the value decrease = 8.5%

Value decreased after 1 year = \frac{8.5}{100}\times45000=3825

Hence, value becomes = 45000-3825=41175

Value decreased after 2nd year =

\frac{8.5}{100}\times41175=3499.875

Hence, value becomes = 41175-3499.875=37675.125

Value decreased after 3 year =

\frac{8.5}{100}\times37675.125=3202.385

Hence, value becomes = 37675.125-3202.385=34472.74

So, value of the boat after 3 years becomes $34472.74

3 0
3 years ago
Divide <br><br> (3x^2 + 9x + 7) divide by (x+2)
scZoUnD [109]

Answer:

The remainder is: 3x+3

The quotient is: 1

Step-by-step explanation:

We need to divide

(3x^2 + 9x + 7) by (x+2)

The remainder is: 3x+3

The quotient is: 1

The solution is attached in the figure below.

3 0
2 years ago
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Find the missing side.​
Vitek1552 [10]

Answer:

5

Step-by-step explanation:

This is a right triangle, but note that you only know the measurement of one angle, which is 90 degrees.

Use the following formula to solve:

a² + b² = c²

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a & b = shorter sides

c = hypotenuse

Plug in the corresponding numbers to the corresponding variables:

(3)² + (4)² = ?²

Solve. Remember to follow PEMDAS. First, solve the exponents, then add:

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? = √25 = √(5 * 5) = 5

Your missing side's measurement is 5.

~

4 0
3 years ago
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