Brielle excersise for 3/4 hour each day for 6days in arow.altogether,how many hours does she excersise during 6 days?

If 18√8 - 8 √18 = √n, what is n?

Yuliya22 [10]

Answer:

n=288

Step-by-step explanation:

Rewrite the equation as

√

n

=

18

√

8

−

8

√

18

.

√

n

=

18

√

8

−

8

√

18

To remove the radical on the left side of the equation, square both sides of the equation.

√n

2

=

(

18

√

8

−

8

√

18

)

2

Simplify each side of the equation.

Use

n

√

a

x

=

a

x

n

to rewrite

√

n as n

1

2

.

(

n

1

2

)

2

=

(

18

√

8

−

8

√

18

)

2

Simplify

(

n

1

2

)

2

.

Multiply the exponents in

(

n

1

2

)

2

.

Apply the power rule and multiply exponents,

(

a

m)n

=

a

m

n

.

n

1

2

⋅

2

=

(

18

√

8

−

8

√

18

)

2

Cancel the common factor of 2

Cancel the common factor.

n

1

2

⋅

2

=

(

18

√

8

−

8

√

18

)

2

Rewrite the expression.

n

1

=

(

18

√

8

−

8

√

18

)

2

Simplify.

n

=

(

18

√

8

−

8

√

18

)

2

Simplify

(

18

√

8

−

8

√

18

)

2

Simplify each term.

Rewrite

8 as 2

2

⋅

2

.

Factor

4 out of 8

n

=

(

18

√

4

(

2

)

−

8

√

18

)

2

Rewrite

4 as 2

2

n

=

(

18√

2

−

8

√

18

)

2

Pull terms out from under the radical.

n

=

(

18

(

2

√

2

)

−

8

√

18

)

2

Multiply

2 by 18

n

=

(

36

√

2

−

8

√

18

)

2

Rewrite

18

as

3

2

⋅

2

.

Factor

9

out of

18

.

n

=

(

36

√

2

−

8

√

9

(

2

)

2

Rewrite

9

as

3

2

.

n

=

(

36

√

2

−

8

√

3

2

⋅

2

)

2

Pull terms out from under the radical.

n

=

(

36

√

2

−

8

(

3

√

2

)

2

Multiply

3

by

−

8

.

n

=

(

36

√

2

−

24

√

2

)

2

Simplify terms.

Subtract

24

√

2

from

36

√

2

.

n

=

(

12

√

2

)

2

Simplify the expression.

Apply the product rule to

12

√

2

.

n

=

12

2

√

2

Raise

12

to the power of

2

.

n

=

144

√

2

Rewrite

√

2

as

2

.

Use

n

√

a

x

=

a

x

n

to rewrite

√

2

as

2

1

2

.

n

=

144

(

2

1

2

)

2

Apply the power rule and multiply exponents,

(

a

m

)

n

=

a

m

n

.

n

=

144

⋅

2

1

2

⋅

2

Combine

1

2

and

2

.

n

=

144

⋅

2

Cancel the common factor of

2

.

Cancel the common factor.

n

=

144

⋅

2

Rewrite the expression.

n

=

144

⋅

2

1

Evaluate the exponent.

n

=

144

⋅

2

Multiply

144

by

2

.

n

=

288

5 0

3 years ago

The rock hard company is going to transport truckloads of stones to a highway project. It will cost $4200 to rent trucks, and it

Darya [45]

Answer:

c =4200+275s

Step-by-step explanation:

C is the total cost

4200 is how much to rent the trucks

275 is the price for each ton

s is how many tons of stone in being transported

4 0

3 years ago

Write a complete sentence that states the type of transformation that was performed and explains the transformation in detail. Q

Cerrena [4.2K]

The type of transformation that has happened is a translation. Translation is when the image's size nor shape changes after transformation. every point in the image moves the same distance in the same direction.
the equation for the translation mentioned is;
T4, -5(x,y)
this means that every point in the image has moved down by 5 units and moved to the right by 4 units.
Point A to Point E
Point A - (-4,-1)
after translation (x+4, y-5) = (-4+4,-1-5)
= (0,-6) these are the coordinates of point E.
the other three points too have moved the same distance and direction as point A did.