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scZoUnD [109]
3 years ago
10

Combine these radicals

Mathematics
2 answers:
Lady_Fox [76]3 years ago
8 0

Answer:

option B is correct

-54

Step-by-step explanation:

Using radical and exponent laws:

\sqrt[n]{a^n} = a

Given that:

-6\sqrt{100}+\sqrt{36}

we can write 100 and 36 as:

100 = 10 \cdot 10= 10^2

36 = 6^2

then;

-6\sqrt{10^2}+\sqrt{6^2}

Apply the rule;

-6\cdot 10+6

-60+6

Combines constant terms;

-54

Therefore, Combine the given radicals we get, -54

lozanna [386]3 years ago
3 0
-6√100+√36=-6(10)+6=-60+6=-54

Answer: B. -54
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Solve for x: 2x^5/3-22=464 a) x = 28 b) x = 27 c) x = ±27 d) x = ±28
Effectus [21]

Answer:

<h3>x = 27</h3>

Step-by-step explanation:

Given the expression {2x^{\frac{5}{3} }-22 = 464, we are to find the value of x in the expression. This is as shown below;

{2x^{\frac{5}{3} }-22 = 464

add 22 to both sides

{2x^{\frac{5}{3} }-22 = 464+22\\\\

{2x^{5/3} =486

divide both sides by 2

\frac{2x^{5/3}}{2} =\frac{486}{2}\\ x^{5/3} = 243

raise both sides to the power of 3/5

(x^{5/3})^{3/5} = (243)^{3/5}\\x = (\sqrt[5]{243}) ^3\\x = 3^3\\x = 27

Hence the value of x is 27

8 0
3 years ago
Need help with finding the area of this
dusya [7]
In the given figure, there are two right angled triangles.

Area of triangle = 1/2 × b × h

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3 0
3 years ago
What is the slope<br> A. Undefined <br> B. 0
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A function follows the rule y = -75 - 5 x . When the function's output is 25, the equation is 25 = -75 - 5 x .
Alex787 [66]

Answer:

The function's input = x = -20

Step-by-step explanation:

Given the function

y = -75 - 5x

Given that the output = y = 25

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25 = -75 - 5x

5x = -75-25

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Divide bothe side by 5

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A pattern follows the rule "Starting with three, every consecutive line has 2 less than twice the previous line."
SVEN [57.7K]
"Starting with three, every consecutive line has 2 less than twice the previous line."

this statement means that
your staring line has 3 marbles. You multiply the 3 marblesby 2 so
3x2=6
And then you minus it by 2
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which means that you'll get 4 marbles for the next line.

So to get your 6th line, you count how many marbles is on the 5th line but since your diagram doesn't have the 5th line you have to figure out the 5th line by counting how.many marbles is on the 4th line.

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20-2=18

5th line = 18

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36-2=34

So the 6th line has 34 marbles.
8 0
3 years ago
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