All categories

3 years ago

If a^1/n=r then which of the following statements are true

Mathematics

2 answers:

posledela3 years ago

6 0

a. This is correct. When you transfer n to the other side, that would be the reciprocal power of a.

b. This is incorrect, because this contradicts with choice a.

c. This is correct. When a number is raised to a "1/n" fraction, that is equivalent to the nth root of the number.

d. This is incorrect, because it is not equivalent to the given equation.

Thus, the answers are A and C.

nlexa [21]3 years ago

4 0

Answer

a. r^n=a

c.^n√a=r

Explanation

solution 1

a⁽¹/ⁿ⁾ = r

Powering both sides of the equation by n;

a⁽¹/ⁿ ₓ ⁿ⁾ = rⁿ

a¹ = rⁿ

solution 2

Also,

a⁽¹/ⁿ⁾ = r

a⁽¹/ⁿ⁾ = ⁿ√a (nth root of a)

ⁿ√a = r

You might be interested in

What is the distance between (-6, 8) and (-3,9)?

vivado [14]

Answer:

is $\sqrt{10}$

Step-by-step explanation:

var x = +3 (one side of right angled triangle)

var y = +1 (the other side of the right angled triangle)

Use the Pythagoras' Theorem.

3² + 1² = 10

6 0

3 years ago

Roulette is a casino game that involves players betting on where a ball will land on a spinning wheel. An American roulette whee

nikitadnepr [17]

Answer: -0.053

Step-by-step explanation:

1•(18/38) + -1 •(20/18) = -0.053

3 0

3 years ago

Read 2 more answers

Triangle ABC is an equilateral triangle. How many lines of symmetry does triangle ABC have?

xxTIMURxx [149]

1 because it can't be reflected over more than one line to be the same

4 0

3 years ago

A Square was altered so that one side is increased by 9 inches in the other side is decreased by 2 inches.The area of the result

LekaFEV [45]

Let s represent the length of any one side of the original square. The longer side of the resulting rectangle is s + 9 and the shorter side s - 2.

The area of this rectangle is (s+9)(s-2) = 60 in^2.

This is a quadratic equation and can be solved using various methods. Let's rewrite this equation in standard form: s^2 + 7s - 18 = 60, or:

s^2 + 7s - 78 = 0. This factors as follows: (s+13)(s-6)=0, so that s = -13 and s= 6. Discard s = -13, since the side length cannot be negative. Then s = 6, and the area of the original square was 36 in^2.

4 0

3 years ago

Three brothers Charlie Robert and Nicholas have 21 video games Charlie has twice as many games as Robert. Robert has 5 fewer gam

AVprozaik [17]

Answer:

The equation would be $4x-15=21$ .

Step-by-step explanation:

Given;

Total Number of Video games = 21

Let the number of video game Nicholas has be 'x'.

Now Given:

Robert has 5 fewer games than Nicholas.

so we can say that;

number of video game Robert has = $x-5$

Also Given:

Charlie has twice as many games as Robert.

so we can say that;

number of video game Charlie has = $2(x-5)=2x-10$

we need to write the equation.

Solution:

Now we can say that;

Total Number of Video games is equal to sum of number of video game Nicholas has, number of video game Robert has and number of video game Charlie has.

framing the equation we get;

$x+x-5+2x-10=21\\\\4x-15=21$