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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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what is the common ratio of the geometric sequence below? –96, 48, –24, 12, –6, ... a, -2 b,-1/2 c, 2 d, 1/2
marysya [2.9K]

Answer:

Option b is correct.

The common ratio for the given geometric sequence is; \frac{-1}{2}

Step-by-step explanation:

The given sequence is;  -96, 48 , -24, 12 , -6, .....

Since, given sequence is Geometric

Geometric Sequence in which each term is found by multiplying the previous term by a constant(i.e common ratio)

In general we write geometric sequence as;

a , ar, ar^2, ar^3 , .....

where a be the first term and r is the common ratio.

On comparing the given sequence with general geometric sequence;

we get

a = -96                  ......[1]

ar = 48                   ......[2]

ar^2 = -24              .....[3]

and so on....        

To find the common ratio i.e, r;

Divide equation [2] by [1];

\frac{ar}{a} =\frac{48}{-96}

Simplify:

r = \frac{-1}{2}

Similarly,

by dividing the equation [3] by [2] we get;

\frac{ar^2}{ar} = \frac{-24}{48}

Simplify:

r = \frac{-1}{2}

As, you can see that the value of r is constant i.e, r= \frac{-1}{2} in the given sequence.

Therefore, the common ratio for the given geometric sequence is; r= \frac{-1}{2}


8 0
3 years ago
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44) The difference of two numbers is 76. The second number is 20% of the first number. What are the numbers?
Nina [5.8K]

Answer:

C

Step-by-step explanation:

Not A b/c the difference b/w 85 and 17 is not 76

Not D b/c the difference b/w 97 and 17 is not 76

Not B b/c 16 is not 20% of 92

By the process of elimination the answer is C

3 0
3 years ago
What is the length of the hypotenuse ?
snow_lady [41]

Answer:

3√2

Step-by-step explanation:

In a 45-45-90 triangle, the two legs are the same length while the hypotenuse is √2 times larger.

3*√2 = 3√2

5 0
2 years ago
Help me, save me!!!!!!!!
Anni [7]

Answer:

D

Step-by-step explanation:

Open circle means less than or greater than, and the dot is on -5, so the answer is greater than -5

5 0
3 years ago
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How would you convert 5 feet 6 inches to inches
zubka84 [21]
66 inches. Since 1 foot is equal to 12 inches, all you need to do is to multiply 5 with 12. The answer will be 60. Since 6 inches are already given for the answer, just add up 60 with 6 for you to get 66 inches which is equivalent to 5 feet 6 inches.
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