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2 years ago

Use the following images to answer the question:

Mathematics

2 answers:

Nookie1986 [14]2 years ago

6 0

Truth statement are statements or assertions that is true regardless of whether the constituent premises are true or false. See below for the definition of Euclidean Postulates.

<h3>What are the Euclidean Postulate?</h3>

There are five Euclidean Postulates or axioms. They are:

1. Any two points can be joined by a straight line segment.

2. In a straight line, any straight line segment can be stretched indefinitely.

3. A circle can be formed using any straight line segment as the radius and one endpoint as the center.

4. Right angles are all the same.

5. If two lines meet a third in a way that the sum of the inner angles on one side is smaller than two Right Angles, the two lines will inevitably collide on that side if they are stretched far enough.

<h3>What are the truth statements relating to the pictures and their equivalent Euclidean Axiom?</h3>

The right angle in the first page of the book shown and the right angles in the last page of the book shown are all the same. (Axiom 4);
If the string from the Yoyo dangling from hand in the picture is rotated for 360° such that the length of the string remains equal all thought, and the point from where is is attached remains fixed, it will trace a circular trajectory. (Axiom 3)
The swords held by the fighters can be extended into infinity because they are straight lines (Axiom 5)

Learn more about Euclidean Postulates at:
brainly.com/question/3745414
#SPJ1

salantis [7]2 years ago

6 0

Answer:

I think it's B, Hope this helps :)

Step-by-step explanation:

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Please help me with this math problem. Only type answer please dont upload files

posledela

3) 3(8b + 3)
4) 57

I’m pretty sure that this is the answer

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3 years ago

WE THE PEOPLE of the United States, in Order to form a more perfect Union, establish Justice, insure domestic Tranquility, provi

Inga [223]

Wt f...? Why must I ruin the constitution xD We da ppl of da USA, in order 2 form a more perfect union, establish da justice, insure domestic tranquility, provide for da common defense peeps, yo, I am so sorry, I cannot keep ruining the constitution

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3 years ago

The amount (in percent) of a drug in a person's bloodstream h hours after its injection can be

8090 [49]

Answer:

32.41%

Step-by-step explanation:

f (h) = $\frac{5h}{4h^{2} } + 5$

f (3.5) = 5(3.5)/4 (3.5)^2 +5

f(3.5) = $\frac{17.5}{49}$ + 5

f(3.5) = 0.3241

0.3241 x 100 = 32.41%

5 0

3 years ago

Using the Rational Root Theorem, what are all the rational roots of the polynomial f(x) = 20x4 + x3 + 8x2 + x – 12?

igomit [66]

Answer:

Option 1 is correct.

Step-by-step explanation:

The given polynomial is

$f(x)=20x^4+x^3+8x^2+x-12$

we have to find all the rational roots of the polynomial f(x)

The Rational Root Theorem states that the all possible roots of a polynomial are in the form of a rational number i.e in the form of $\frac{p}{q}$

where p is a factor of constant term and q is the factor of coefficient of leading term.

In the given polynomial the constant is -12 and the leading coefficient is 20.

$\text{All possible factor of -12 are }\pm1,\pm2, \pm3, \pm4,\pm6,\pm12$

$\text{All possible factor of 20 are }\pm1,\pm2,\pm4,\pm5,\pm10,\pm20$

So, the all possible rational roots of the given polynomial are,

$\pm1,\pm2, \pm3, \pm4,\pm6,\pm12,\pm\frac{1}{2},\pm\frac{3}{2},\pm\frac{1}{4},\pm\frac{3}{4},\pm\frac{1}{10},\pm\frac{1}{5},\pm\frac{3}{5},\pm\frac{3}{10},\pm\frac{2}{5},\pm\frac{6}{5},\pm\frac{1}{20},\pm\frac{3}{20},\pm\frac{4}{5},\pm\frac{12}{5}$

Now, the rational roots of polynomial satisfy the given polynomial

$f(-\frac{4}{5})=20(-\frac{4}{5})^4+(-\frac{4}{5})^3+8(-\frac{4}{5})^2-\frac{4}{5}-12=\frac{256}{625}\times 20-\frac{64}{125}+\frac{128}{125}-\frac{4}{5}-12$

$=\frac{1024}{125}-\frac{64}{125}+\frac{128}{25}-\frac{4}{5}-12$

$=\frac{960}{125}+\frac{128}{25}-\frac{4}{5}-12=12-12=0$

Hence, rational root.

$f(\frac{3}{4})=20(\frac{3}{4})^4+(\frac{3}{4})^3+8(\frac{3}{4})^2+\frac{3}{4}-12=\frac{405}{64}+\frac{27}{64}+\frac{9}{2}+\frac{3}{4}-12=0$

rational root

$f(1)=20(1)^4+(1)^3+8(1)^2+1-12=20+1+8-11=18\neq 0$

not a rational root.

hence, option 1 is correct

8 0

3 years ago

Read 2 more answers

Which of the following sentences has a relative clause?

notka56 [123]

Which of the following sentences has a relative clause?
D. The audience applauded the ambassador, who spoke for one-half hour.
The reason D is the correct answer because they're saying "who" and "who" is a relative pronoun beginning a clause.

8 0

3 years ago