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3 years ago

Which Biconditional is not a good definition

Mathematics

1 answer:

vlabodo [156]3 years ago

5 0

Hi There!!

I think your answer is B. An angle is obtuse if and only if it measures is greater than zero...

Hope This Helps!!

$Brazts$

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SUPER POINTS! HURRY FOR BRAINLIEST

Mumz [18]

Answer:

Step-by-step explanation:

x | y

0 0

1 4

2 n -> 8

3 12

I've rewritten the x-y table so it's easier to read.

Take a point: 2,8. 2 times 4 is 8.

Take another point: 3,12. 3 times 4 is 12.

Ooh, looks like we have a pattern! After testing all the points (which you should always do in case there's an outlier) each x is multiplied by 4 to get the y. The formula for this is y=kx, where k is the constant of proportionality. So the equation is y=4x. This means x and y are directly proportional.

(They would be inversely proportional if in the form y=k/x; jointly proportional if they were in the form z=kxy, and nonproportional if there was no relationship at all.)

8 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B4%7D%20%20%2B%20%20%5Cfrac%7B2x%7D%7B4%7D%20" id="TexFormula1" title=" \fr

BabaBlast [244]

3x/4 =3/4 x
That said

7 0

3 years ago

Combine into a single logarithm. 3log(x+y)+2log(x-y)-log(x^2 +y^2)

seropon [69]

Answer:

$3\log _{10}\left(x+y\right)+2\log _{10}\left(x-y\right)-\log _{10}\left(x^2+y^2\right)=\log _{10}\left(\frac{\left(x+y\right)^3\left(x-y\right)^2}{x^2+y^2}\right)$

Step-by-step explanation:

Given the expression

$3log\left(x+y\right)+2log\left(x-y\right)-log\left(x^2\:+y^2\right)$

solving to write into a single logarithm

$3log\left(x+y\right)+2log\left(x-y\right)-log\left(x^2\:+y^2\right)$

$\mathrm{Apply\:log\:rule}:\quad \:a\log _c\left(b\right)=\log _c\left(b^a\right)$

$3\log _{10}\left(x+y\right)=\log _{10}\left(\left(x+y\right)^3\right)$

$=\log _{10}\left(\left(x+y\right)^3\right)+2\log _{10}\left(x-y\right)-\log _{10}\left(x^2+y^2\right)$

$\mathrm{Apply\:log\:rule}:\quad \:a\log _c\left(b\right)=\log _c\left(b^a\right)$

$2\log _{10}\left(x-y\right)=\log _{10}\left(\left(x-y\right)^2\right)$

$=\log _{10}\left(\left(x+y\right)^3\right)+\log _{10}\left(\left(x-y\right)^2\right)-\log _{10}\left(x^2+y^2\right)$

$\mathrm{Apply\:log\:rule}:\quad \log _c\left(a\right)+\log _c\left(b\right)=\log _c\left(ab\right)$

$\log _{10}\left(\left(x+y\right)^3\right)+\log _{10}\left(\left(x-y\right)^2\right)=\log _{10}\left(\left(x+y\right)^3\left(x-y\right)^2\right)$

$=\log _{10}\left(\left(x+y\right)^3\left(x-y\right)^2\right)-\log _{10}\left(x^2+y^2\right)$

$\mathrm{Apply\:log\:rule}:\quad \log _c\left(a\right)-\log _c\left(b\right)=\log _c\left(\frac{a}{b}\right)$

$\log _{10}\left(\left(x+y\right)^3\left(x-y\right)^2\right)-\log _{10}\left(x^2+y^2\right)=\log _{10}\left(\frac{\left(x+y\right)^3\left(x-y\right)^2}{x^2+y^2}\right)$

$=\log _{10}\left(\frac{\left(x+y\right)^3\left(x-y\right)^2}{x^2+y^2}\right)$

Thus,

$3\log _{10}\left(x+y\right)+2\log _{10}\left(x-y\right)-\log _{10}\left(x^2+y^2\right)=\log _{10}\left(\frac{\left(x+y\right)^3\left(x-y\right)^2}{x^2+y^2}\right)$

6 0

3 years ago

What is the rational expression in simplest form? State any restrictions on the variables.

allochka39001 [22]

According to the question, the given rational expression can be simplified which is as shown below:

Rational expression = $\frac{12-4x}{x^{2} -9}=\frac{4(3-x)}{(x-3)(x+3)}$

For the simplification of the given expression, calculate the factors of the numerator as well as denominator terms and divide them from each other. In this change the sign of the expression before dividing with each other.

Rational expression = $\frac{-4}{(x+3)}$

The rational expression are also known as polynomial expression. The highest degree of these expression is two. And these expression uses concept of factor rule.

Therefore, the final expression is $\frac{-4}{(x+3)}$

What is polynomial expression?

Polynomial expression are those equation whose highest degree is two. It is also called as quadratic equation. And it is simplified by performing the factors on the given expressions.

To learn more about the polynomial expression from the given link:

brainly.com/question/1280754

#SPJ4

4 0

1 year ago

Isabel is saving to buy a motorcycle. In one month she has saved $432. She saves the same amount each month, how much money will

xz_007 [3.2K]

Answer= £10,368

So 12+12=24

24x432=10368

3 0

3 years ago