1 year ago

Simplify by using radical. Rationalize denominators. 2a^-1/2

Mathematics

1 answer:

ra1l [238]1 year ago

4 0

Answer:

$\dfrac{2\sqrt{a}}{a}$

Step-by-step explanation:

$2a^{-\frac{1}{2}} =$

$= 2 \times \dfrac{1}{\sqrt{a}}$

$= 2 \times \dfrac{1}{\sqrt{a}} \times \dfrac{\sqrt{a}}{\sqrt{a}}$

$= \dfrac{2\sqrt{a}}{a}$

You might be interested in

What is the value of cos θ given that (-2, 9) is a point on the terminal side of θ?

liq [111]

Answer:

a) cosθ = $\frac{-2\sqrt{85} }{85}$

Step-by-step explanation:

Step(i):-

Given point ( x , y ) = ( - 2 , 3 )

We know that the polar co-ordinates

x = r cos θ and y = r sinθ

where $r = \sqrt{x^{2} +y^{2} }$

$r = \sqrt{(-2)^{2} +(9)^{2} } = \sqrt{4+81} = \sqrt{85}$

Step(ii):-

x = r cos θ

cosθ $= \frac{x}{r}$

cosθ = $\frac{-2}{\sqrt{85} } = \frac{-2}{\sqrt{85} } X \frac{\sqrt{85} }{\sqrt{85} }$

cosθ = $\frac{-2\sqrt{85} }{85}$

3 0

2 years ago

A rocket is launched from a hill above a lake. The rocket will fall into the lake after exploding at its maximum height. The roc

KonstantinChe [14]

Step-by-step explanation:

g(x)= -16x² + 72x + 80

Plug 2 in to check if it's correct.

g(2)= -16(2)² + 72(2) + 80

-16(4)+128+80

-72+128+80

= 136

4 0

2 years ago

Help pls!

Sliva [168]

Answer:5.83k

Step-by-step explanation:

annual means divide current by 6

3 0

2 years ago

12% is 90% of what number?

Andrews [41]

12% = 0.12

90% = 0.9

$0.12 = 0.9 \times x\\\\x = \frac{0.12}{0.9}=\boxed{1.33333}$

7 0

3 years ago

What is the distance between 182 and 265 on a number line?

lawyer [7]

The correct answer is B. 83

5 0

3 years ago

Read 2 more answers