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sammy [17]
3 years ago
6

Which choice is equivalent to the quotient shown here when x is greater than or equal to 0?

Mathematics
1 answer:
Dima020 [189]3 years ago
8 0

Answer: OPTION C

Step-by-step explanation:

Remember that:

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

And the Product of powers property establishes that:

a^m*a^n=a^{(mn)}

Rewrite the expression:

\frac{\sqrt{18x} }{\sqrt{32} }

Descompose 18 and 32 into their prime factors:

18=2*3*3=2*3^2\\32=2*2*2*2*2=2^5=2^4*2

Substitute into the expression, then:

\frac{\sqrt{(2*3^2)x} }{\sqrt{2^4*2} }

Finally,simplifying, you get:

\frac{3\sqrt{(2)x} }{2^2\sqrt{2} }=\frac{3\sqrt{2x}}{4\sqrt{2}}=\frac{(3)(\sqrt{x})(\sqrt{2})}{(4)(\sqrt{2})}= \frac{3\sqrt{x}}{4}

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Triangles ABD and ACE are similar right triangles. which ratio best explains why the slope of AB is the same as the slope of AC
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The fourth term of an Arithmetic Sequence is equal to 3 times the first term, and the seventh term exceeds twice the third term
11Alexandr11 [23.1K]

Answer:

The first term is 3. The common difference is 2.

Step-by-step explanation:

The first term is x.

The common difference is d.

The second term is x + d.

3rd term: x + 2d

4th term: x + 3d

7th term: x + 6d

"The fourth term of an Arithmetic Sequence is equal to 3 times the first term"

x + 3d = 3 * x       Eq. 1

"the seventh term exceeds twice the third term by 1"

x + 6d = 2(x + 2d) + 1       Eq. 2

Simplify Eq. 1:

2x = 3d

Simplify Eq. 2:

x + 6d = 2x + 4d + 1

x = 2d - 1

Multiply both sides of the last equation by 2.

2x = 4d - 2

2x = 3d   (simplified Eq. 1)

Since 2x = 2x, then the right sides are equal.

3d = 4d - 2

d = 2

2x = 3d

2x = 3(2)

2x = 6

x = 3

Answer: The first term is 3. The common difference is 2.

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3 years ago
Given a triangle with angles of 23°, 90°, 67°.
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The answer is that it's a right triangle. One angle is 90°

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Need help with this test plz n thanks
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1+1 = 2
So if it is 2 then 2+6 = 8
I hope this helped love
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