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3 years ago

7

Use distributive property to rewrite each algebraic expression: 15(2+r)

1 answer:

ira [324]3 years ago

8 0

Answer:

15 x 2 + 15 x r

Step-by-step explanation:

I hope this helps and hope u have an Amazing day!!

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saul85 [17]

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

<u>Let us assume that:</u>

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

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:

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

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

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

<u>Therefore:</u>

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

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

<u>But x cannot be negative. </u>

$\sf \longmapsto x = 3$

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

3 years ago

The radius of a sphere is 13 cm. What is the surface area of the sphere? Round to the nearest tenth

AlekseyPX

Answer:

2123.72 cm²

Step-by-step explanation:

Hope it helps

3 0

3 years ago

How do u make 33 and one third a fraction

Alina [70]

33 and one third as a fraction would be either 33 1/3 or 100/3

8 0

3 years ago

Read 2 more answers

A bag contains 6 white marblesw and 4 black marbles.a marble is drawn from the bag and then a second marble is drawn without rep

Katena32 [7]

Answer:

60.5%

Step-by-step explanation:

60% white, 40% black

The first draw you have a 60% chance drawing a white marble, the second time you have a 55% chance since you already drew one in the first round. so i think it is 60.5%% chance drawing white on both rounds since I add 60+55=121. 121/200=60.5%

8 0

3 years ago

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1.825 rounded to the nearest hundredth

Alenkinab [10]

The answer is 1.83
you look to the number after the hundreds place which is 5. the rule is that is that place is 5 or more then you can round up with the hundreds place which turned the 2 into a 3

4 0

3 years ago