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2 years ago

MORE PINTS LOLOLOLOLOOLOLLOLOLOLOLOLOLOLOLO

Mathematics

2 answers:

kherson [118]2 years ago

7 0

Answer:

Thank You So Much and God Bless You !!!

vladimir2022 [97]2 years ago

4 0

Answer:

mmm

Step-by-step explanation:

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saul85 [17]

$\large\underline{\sf{Solution-}}$

Let us assume that:

$\sf \longmapsto x = \sqrt{6 + \sqrt{6 + \sqrt{6 + ... \infty } } }$

We can also write it as:

$\sf \longmapsto x = \sqrt{6 + x }$

Squaring both sides, we get:

$\sf \longmapsto {x}^{2} =6 + x$

$\sf \longmapsto {x}^{2} - x - 6 =0$

By splitting the middle term:

$\sf \longmapsto {x}^{2} - 3x + 2x - 6 =0$

$\sf \longmapsto x(x - 3) + 2(x - 3 ) =0$

$\sf \longmapsto (x+ 2)(x - 3 ) =0$

Therefore:

$\longmapsto\begin{cases} \sf (x+ 2) =0 \\ \sf (x - 3) = 0 \end{cases}$

$\sf \longmapsto x = - 2,3$

But x cannot be negative. 

$\sf \longmapsto x = 3$

Therefore, the value of the expression is 3.

$\large\underline{\sf{Verification-}}$

Given:

$\sf\longmapsto x=3$

We can also write it as:

$\sf\longmapsto x = \sqrt{9}$

$\sf\longmapsto x = \sqrt{6+3}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{9}}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+3}}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{9}}}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+3}}}$

This pattern will continue.

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+...\infty}}}$

7 0

2 years ago

the perimeter of square is 36 inches which statement is true when the square is dilated by a scale factor of 2/3

OlgaM077 [116]

Answer:

Do you want to know the new perimeter? = 24 in

Step-by-step explanation:

side of 36" perimeter = 9"

9 x 2/3 = 6 in

perimeter of 6" square = 24 in

7 0

2 years ago

Peyton's field hockey team wins 4 games out of every 7 games played. Her team lost 9 games. How many games did Peyton's team pla

andre [41]

Answer:

Games played= 21 games

Step-by-step explanation:

Giving the following information:

Peyton's field hockey team wins 4 games out of every 7 games played.

We know that Peyton's team loses 3 games out of 7.

So if the team lost 9 games, the proportion is completed 3 times.

Games played= 3*7= 21 games

4 0

3 years ago

This morning, Kevin's car had 13.8 gallons of fuel. Now, 1.9 gallons are left. How much fuel did Kevin use?

lesantik [10]

Answer:

He used 11.9 gallons of fuel.

Step-by-step explanation:

You would subtract 1.9 from 13.8

Hope this helps!

7 0

2 years ago

Read 2 more answers

A rectangle has an area of 20 cm^2. What will the area be if the rectangle tripled in size?

antoniya [11.8K]

Answer:

180 cm^2

Step-by-step explanation:

For similar figures the ratio of areas is the square of the ratio of linear dimensions.

We take "tripled in size" to mean that the linear dimensions of the larger rectangle are 3 times those of the smaller rectangle. That means the area of the larger rectangle will be 3² = 9 times the area of the smaller one.

Area = (3²)(20 cm²) = 180 cm² . . . . area after tripled in size

4 0

2 years ago