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3 years ago

Why isn't it possible to divide a factor with 0? And if so, what is the answer? 0? ∞?

Mathematics

1 answer:

zavuch27 [327]3 years ago

8 0

let's think about it, let's divide say hmmm 15 by 0, in a fraction

$\bf \cfrac{\textit{part of a pie}}{\textit{whole pie}}\qquad \cfrac{15}{0}\implies \cfrac{\textit{taking 15 pieces}}{\textit{from a whole pie that's 0, or not there}}$

now, how can you take any pieces of a pie that's non-existent? I mean that requires magic!!.

now, let's do it using a simple long division, 15 ÷ 0, so 0 is the divisor, anything times 0 is 0, what is our first digit in the quotient to get 15? 0 * 15 = 0, 0 * 1,000,000 = 0, there isn't any number we can possible use to get a quotient.

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Find sin(2x), cos(2x), and tan(2x) from the given information.

larisa86 [58]

Since $\cot(x)=\frac{2}{3}$ and $\cot^{2} x+1=\csc^{2} x$ , we know that:

$\left(\frac{2}{3} \right)^{2}+1=\csc^{2} x\\\\\frac{13}{9}=\csc^{2} x\\\\\csc x=\frac{\sqrt{13}}{3}$

If $\csc x=\frac{\sqrt{13}}{3}$ , this means that $\sin x=\frac{3}{\sqrt{13}}$ and by the Pythagorean identity,

$\sin^{2} x+\cos^{2} x=1\\\left(\frac{3}{\sqrt{13}} \right)^{2}+\cos^{2} x=1\\\frac{9}{13}+\cos^{2} x=1\\\cos^{2} x=\frac{4}13}\\\cos x=\frac{2}{\sqrt{13}}$

Using the double angle formula for sine, $\sin(2x)=2\left(\frac{3}{\sqrt{13}} \right)\left(\frac{2}{\sqrt{13}} \right)=\boxed{\frac{12}{13}}$
Using the double angle formula for cosine, $\cos(2x)=1-2\left(\frac{3}{\sqrt{13}} \right)^{2}=\boxed{-\frac{5}{13}}$
So, since tan=sin/cos, $\tan (2x)=\frac{\sin(2x)}{\cos(2x)}=\frac{\frac{12}{13}}{-\frac{5}{13}}=\boxed{-\frac{12}{5}}$

7 0

2 years ago

What is 9.78 rounded to the nearest tenth?

Zarrin [17]

Since the number before the number in the tenth place (7) is greater than 5 (8), you will be rounding up. So your answer is 9.80

6 0

4 years ago

Read 2 more answers

Based on the data table, which equation accurately represents the situation?

8090 [49]

Answer:

The equation of the line is:

$y = 28x$

Hence, option C is correct.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slope

b is the y-intercept

Given the table

Gallons Miles Driven

8 224

10 280

4 112

Finding the slope between any two points, let say (8, 224) and (10, 280)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(8,\:224\right),\:\left(x_2,\:y_2\right)=\left(10,\:280\right)$

$m=\frac{280-224}{10-8}$

$m=28$

now substituting (8, 224) and m = 28 in the slope-intercept form of line equation

$y = mx+b$

224 = 28(8) + b

224 = 224 + b

b = 0

Thus, the y-intercept b = 0

now substituting b = 0 and m = 28 in the slope-intercept form of line equation

$y = mx+b$

$y = 28x+0$

$y = 28x$

Therefore, the equation of the line is:

$y = 28x$

Hence, option C is correct.

7 0

3 years ago

Brian wants to have $7000 in the bank in 10 years. He deposits $3000 today at 8% interest compounded semiannually,After keeping

AveGali [126]

Total = Principal * ((1 + rate/n)^(n*years)
Total = 3,000 * (1.04)^20
Total = 3,000 * 2.191123143 = 6,573.37
So, he will have to add (7,000 - 6,573.37) =
$ 426.63
answer is b
Here's a calculator to check your work http://www.1728.org/compint.htm

6 0

4 years ago

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What is the radical expression that is equivalent to the expression 27 1/5? Enter your answer as a radical. For example, if your

yuradex [85]

Answer:

$27^{\frac{1}{5} }=\sqrt[5]{3^3}$