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3 years ago

Normal form [see attachment]

Mathematics

1 answer:

musickatia [10]3 years ago

4 0

I just did one of these. I guessed that normal form is

$x \cos \phi + y \sin \phi - p = 0$

Here' that's

$x (\sqrt{3}/2) + y (1/2) - 10 = 0$

$\sqrt{3} x + y - 20 = 0$

Choice b

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Which two hundred thousands is 391,360 between?

zhenek [66]

Hi!

<h3>Hundred thousands are </h3>

100,000
200,000
300,000
400,000
500,000
600,000
700,000
800,000
900,000

<h3>Where is 391,360 on this? </h3>

100,000
200,000
300,000
391,360
400,000
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600,000
700,000
800,000
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<u>It's between 300,000 and 400,000. </u>

<h2>The answer is 300,000 and 400,000. </h2>

Hope this helps! :)

-Peredhel

6 0

3 years ago

How many ways can a committee chairman choose 4 people for a subcommittee if there are 12 members on the whole committee?

Marina86 [1]

A group of k elements can be chosen from a group of n elements in $\frac{n!}{k!(n-k)!}$ ways.

$(^{12} _4)=\frac{12!}{4!(12-4)!}=\frac{12!}{4! \times 8!}=\frac{8! \times 9 \times 10 \times 11 \times 12}{2 \times 3 \times 4 \times 8!}=\frac{9 \times 10 \times 11 \times 12}{2 \times 3 \times 4}= \\ \\
=3 \times 5 \times 11 \times 3=495$

The answer is B. 495.

7 0

3 years ago

What is the difference? StartFraction 2 x + 5 Over x squared minus 3 x EndFraction minus StartFraction 3 x + 5 Over x cubed minu

Sunny_sXe [5.5K]

Answer:

First option is the correct option.

Step-by-step explanation:

$\frac{2x + 5}{ {x}^{2} - 3x } - \frac{3x + 5}{ {x}^{3} - 9x } - \frac{x + 1}{ {x}^{2} - 9 }$

Factor out X from the expression

$\frac{2x + 5}{x(x - 3)} - \frac{3x + 5}{x( {x}^{2} - 9)} - \frac{x + 1}{ {x}^{2} - 9}$

Using ${a}^{2} - {b}^{2} = (a - b)(a + b)$ , factor the expression

$\frac{2x + 5}{x(x - 3)} - \frac{3x + 5}{x(x - 3)(x + 3) } - \frac{x + 1}{(x - 3)(x + 3)}$

Write all numerators above the Least Common Denominators x ( x - 3 ) ( x + 3 )

$\frac{(x + 3) \times (2x - 5) - (3x + 5) - x \times (x + 1)}{x(x - 3)(x + 3)}$

Multiply the parentheses

$\frac{2 {x}^{2} + 5x + 6x + 15 - (3x + 5) - x(x + 1)}{x(x - 3)(x + 3)}$

When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression