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mojhsa [17]
3 years ago
6

Euclid relied on five basic axioms to build the propositions in his book Elements. The first axiom states, “Things that are equa

l to the same thing are also equal to one another.” Which modern mathematical statement is equivalent to this axiom?
A. If a = b, then b = a.
B. If a = b and b = c, then a = c.
C. If a ≠ b, then b ≠ a.
D. If a = b, then a + c = b + c.
Mathematics
2 answers:
ELEN [110]3 years ago
7 0
I think it’s B. But I’m not 110% sure
lana66690 [7]3 years ago
6 0

Answer:

B

Step-by-step explanation:

I got it right on edge.

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What is the answer to |x-8| , with x=-7? please show work!
LekaFEV [45]

Answer:

15

Step-by-step explanation:

|-7-8| = |-15| = 15##

7 0
3 years ago
Please help. Need to understand it. At least give an answer.
cluponka [151]

Answer:

The asnwer is the first one:

Step-by-step explanation:

You do this

x = 3.242424242424

100x = 324.24242424242424242424

-x

= 329/99

3-24/99

3 8/33

3 0
3 years ago
Read 2 more answers
D/d{cosec^-1(1+x²/2x)} is equal to​
SIZIF [17.4K]

Step-by-step explanation:

\large\underline{\sf{Solution-}}

\rm :\longmapsto\:\dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 +  {x}^{2} }{2x} \bigg)

Let assume that

\rm :\longmapsto\:y =  {cosec}^{ - 1} \bigg( \dfrac{1 +  {x}^{2} }{2x} \bigg)

We know,

\boxed{\tt{  {cosec}^{ - 1}x =  {sin}^{ - 1}\bigg( \dfrac{1}{x} \bigg)}}

So, using this, we get

\rm :\longmapsto\:y = sin^{ - 1} \bigg( \dfrac{2x}{1 +  {x}^{2} } \bigg)

Now, we use Method of Substitution, So we substitute

\red{\rm :\longmapsto\:x = tanz \: \rm\implies \:z =  {tan}^{ - 1}x}

So, above expression can be rewritten as

\rm :\longmapsto\:y = sin^{ - 1} \bigg( \dfrac{2tanz}{1 +  {tan}^{2} z} \bigg)

\rm :\longmapsto\:y = sin^{ - 1} \bigg( sin2z \bigg)

\rm\implies \:y = 2z

\bf\implies \:y = 2 {tan}^{ - 1}x

So,

\bf\implies \: {cosec}^{ - 1}\bigg( \dfrac{1 +  {x}^{2} }{2x} \bigg) = 2 {tan}^{ - 1}x

Thus,

\rm :\longmapsto\:\dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 +  {x}^{2} }{2x} \bigg)

\rm \:  =  \: \dfrac{d}{dx}(2 {tan}^{ - 1}x)

\rm \:  =  \: 2 \: \dfrac{d}{dx}( {tan}^{ - 1}x)

\rm \:  =  \: 2 \times \dfrac{1}{1 +  {x}^{2} }

\rm \:  =  \: \dfrac{2}{1 +  {x}^{2} }

<u>Hence, </u>

\purple{\rm :\longmapsto\:\boxed{\tt{ \dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 +  {x}^{2} }{2x} \bigg) =  \frac{2}{1 +  {x}^{2} }}}}

<u>Hence, Option (d) is </u><u>correct.</u>

6 0
2 years ago
What job do you want
notsponge [240]

Answer:

photography

Step-by-step explanation:

6 0
3 years ago
If the product of some number and three is increased by 24 the result is five times the number find the number
rodikova [14]

Answer:

The Answer is: 12.

Step-by-step explanation:

Let n = number.

The number times three plus 24 is equal to five times the number.

3n + 24 = 5n

24 = 5n - 3n

2n = 24

n = 12

Proof:

3(12) + 24 = 36 + 24 = 60

5(12) = 60

Hope this helps! Have an Awesome Day!! :-)

6 0
3 years ago
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