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alexandr402 [8]
3 years ago
13

What is the connection between rational exponents and radicals?

Mathematics
2 answers:
Zina [86]3 years ago
8 0
\bf a^{\frac{{ n}}{{ m}}} \implies  \sqrt[{ m}]{a^{ n}} \qquad \qquad
\sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}
WARRIOR [948]3 years ago
5 0
Radicals and rational exponents are  alternate ways of expressing the same thing.
n√x<u />
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Square root of 9/100
timama [110]
\sqrt{ \frac{9}{100} }
=\frac{3}{10}
5 0
3 years ago
If tan theta =24 over 45 find tan theta minus cos theta. <br> ​
juin [17]

Answer:

24/45 - 45/51

Step-by-step explanation:

Tangent can be expressed as opposite/adjacent. So, create a right triangle with one leg = 24 and the other = 45. The hypotenuse is 51 by the Pythagorean theorem. Cosine is adjacent/hypotenuse, so it would be 45/51.

4 0
3 years ago
If the diameter of a circle changes from 18 cm to 6 cm, how will the circumference change?
olga_2 [115]
The circumference when the diameter is 18 = 18pi

The circumference when the diameter is 6 = 6pi

18pi/6pi=3

The circumference will become a third of what it was.

Hope this helps!
6 0
3 years ago
line segment with one endpoint at (2,5) is divided in the ratio 4:5 by the point (10,1). which coordinates could represent the o
rodikova [14]

Answer:

(20,-4)

Step-by-step explanation:

We are given;

One end point as (2,5)

Point of division as (10,1)

The ratio of division as 4:5

We are required to calculate the other endpoint.

Assuming the other endpoint is (x,y)

Using the ratio theorem

If the unknown endpoint is the last point on the line segment;

Then;

\left[\begin{array}{ccc}10\\1\end{array}\right]=\frac{4}{5} \left[\begin{array}{ccc}x\\y\end{array}\right]+\frac{5}{9}\left[\begin{array}{ccc}2\\5\end{array}\right]

Therefore; solving the equation;

10=\frac{4}{9}x+\frac{10}{9}

solving for x

x = 20

Also

1=\frac{4}{9}y+\frac{25}{9}

solving for y

y= -4

Therefore,

the coordinates of the end point are (20,-4)

5 0
3 years ago
By the distributive law, 49x17+49x3
Artyom0805 [142]

Answer:

Here is your answer :-

➡ 49 × 17 + 49 × 3

➡ 49 ( 17+3 )

➡ 49 × 20

➡ 980

Answer : 980

6 0
3 years ago
Read 2 more answers
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