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3 years ago

What font is the best to use for a go0gle sl!des presentation? just a question

Mathematics

2 answers:

zepelin [54]3 years ago

8 0

Answer:

New times roman.

Step-by-step explanation:

lara31 [8.8K]3 years ago

7 0

Answer:

Hwello!
Lora is very similar to Times New Roman and has more modern feel. The additional touches are done in calligraphy which gives it a very elegant style but also gives of simplicity and boldness. (i love calligraphy so this is one of my fav fonts)
Ubuntu. This font has a very unique and striking feel. It is sans serif with very minimalistic letters, but the curvy design makes it look modern and intriguing.
Libre Baskerville. This font was designed to work well for main body text.

Lora is my personal favorite but you can choose any one! I like to use a combination of Lora of headings, and times new roman/libre baskerville for main body text!

Have fun!

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What are the equations of the asymptotes of the graph of f(x)=(5/x+7)−8 ?

ludmilkaskok [199]

Answer:

$\mathrm{Vertical}:\:x=0,\:\mathrm{Horizontal}:\:y=-1$

The graph of the function is also attached.

Step-by-step explanation:

Considering the expression

$\:f\left(x\right)=\left(\frac{5}{x}+7\right)-8\:\:$

$\mathrm{Simplify}\:\frac{5}{x}+7-8:\quad \frac{5}{x}-1$

$\mathrm{Vertical\:asymptotes\:of\:}\frac{5}{x}-1:$

Go over every undefined point x = a and check if at least one of the following statement is true.

$\lim _{x\to a^-}f\left(x\right)=\pm \infty$

$\lim _{x\to a^+}f\left(x\right)=\pm \infty$

$\mathrm{Take\:the\:denominator\left(s\right)\:of\:}\frac{5}{x}-1\mathrm{\:and\:compare\:to\:zero}$

$x=0$

The following points are undefined

$x=0$

$\mathrm{The\:vertical\:asymptotes\:are:}$

$x=0$

$\mathrm{Horizontal\:Asymptotes\:of\:}\frac{5}{x}-1:$

$\mathrm{Check\:if\:at\:}x\to \pm \infty \mathrm{\:the\:function\:}y=\frac{5}{x}-1\mathrm{\:behaves\:as\:a\:line,\:}y=mx+b$

$\mathrm{Find\:an\:asymptote\:for\:}x\to -\infty \::$

$\lim _{x\to -\infty \:}\frac{f\left(x\right)}{x}=\lim _{x\to -\infty \:}\frac{\frac{5}{x}-1}{x}=0$

$\lim _{x\to -\infty \:}f\left(x\right)-mx=\lim _{x\to -\infty \:}\frac{5}{x}-1-0x=-1$

$y=-1$

$\mathrm{Find\:an\:asymptote\:for\:}x\to \infty:$

$\lim _{x\to \infty \:}\frac{f\left(x\right)}{x}=\lim _{x\to \infty \:}\frac{\frac{5}{x}-1}{x}=0$

$\lim _{x\to \infty \:}f\left(x\right)-mx=\lim _{x\to \infty \:}\frac{5}{x}-1-0x=-1$

$y=-1$

$\mathrm{The\:horizontal\:asymptote\:is:}$

$y=-1$

Therefore,

$\mathrm{Vertical}:\:x=0,\:\mathrm{Horizontal}:\:y=-1$

The graph of the function is also attached.

6 0

4 years ago

Read 2 more answers

Three friends want to meet at a place that is the same distance from each of their houses. They draw a map and measure the appro

murzikaleks [220]

Answer:the answer is B

Step-by-step explanation:Bisect each of the angles with vertices at their houses

3 0

3 years ago

Order the sides of the triangle from shortest to longest.

Genrish500 [490]

Answers:

Shortest Length = LN
Middle Length = LM
Longest Length = MN

========================================

Explanation:

Let's find the missing angle.

For any triangle, the three interior angles always add to 180

L+M+N = 180

75+50+N = 180

N+125 = 180

N = 180-125

N = 55

So we know the three angles of the triangle are

L = 75
M = 50
N = 55

We see that M = 50 is the smallest angle, so the smallest side is the segment opposite this angle. The smallest side is LN. The smallest side is always opposite the smallest angle.

Similarly, the largest side is always opposite the largest angle. The largest angle here is L = 75, so the largest side is MN.

The middle side must therefore be LM.

The diagram below shows a visual summary.