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3 years ago

11

If a vertical plane sliced a sphere, what would be the 2-D cross section?

1 answer:

Colt1911 [192]3 years ago

4 0

Answer:
Circle
Explanation:
Because if you cut a circle I’m half anywhere it will be a circle because it’s round everywhere.

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<img src="https://tex.z-dn.net/?f=The%20%5C%3A%20%20value%20%20%5C%3A%20of%20%20%5C%3A%20%20%5Csqrt%7B6%20%2B%20%20%5Csqrt%7B6%2

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

2 years ago

Simplify: 30 - 23 × 3

gogolik [260]

The answer to this question would be 39..here is why:

First you multiply 23 x 3..because multiplication or division always comes before addition or subtraction.

Second, you get the product from 23 x 3 which is 69..and you subtract 30 from that.

Last, after you do that you get an over all answer of 39..

Hope this helps!!

4 0

2 years ago

D) x + y = 42 X-6 = 5 (-6)

vovangra [49]

Answer: X = -24 Y = 66

Step-by-step explanation:

5(-6) = -30

X = 6 - 30 = -24

Y = 42 + 24 = 66

3 0

2 years ago

Read 2 more answers

State whether set A and B are equal, equivalent, both, or neither. <br> A = {9, 8, 7} B = {8, 9, 10}

bearhunter [10]

They're just equivalent.

7 0

2 years ago

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is

Afina-wow [57]

Solution B is the one she should use

3 0

2 years ago