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3 years ago

What is the goal of a proof by contradiction?

Mathematics

2 answers:

Aleksandr [31]3 years ago

7 0

Answer: C

Step-by-step explanation: Your statement is wrong and you continue to answer it until you the result is a contradiction.

kifflom [539]3 years ago

6 0

Answer:

B. The contradiction of the statement is proven false, so the original

statement is therefore proven true.

Step-by-step explanation:

We assume the opposite and then get to a point where we get a false statement. That proves that the the opposite of the opposite ( what we originally wanted to prove) is true.

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I'm testing something, so you can just take the points if you want I don't care.

SVEN [57.7K]

Answer:

...Okay thank you!

Step-by-step explanation:

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3 years ago

Read 2 more answers

Please help me asap

Darya [45]

L = rc
= 26.9 * 9*3.14 / 5
= 152.04 to nearest 1/100

8 0

3 years ago

Along which axis is the dependent variable traditionally plotted?

Dvinal [7]

The y axis for dependent variables and x axis for independent

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3 years ago

Lines g,h and l are parallel and m< 2 = 129<br> What is the m < L

Bingel [31]

180-129= 51
angle 4 is equal to angle 12 so missing angle 12= 51°

6 0

3 years ago

3^x= 3*2^x solve this equation

kompoz [17]

In the equation

$3^x = 3\cdot 2^x$

divide both sides by $2^x$ to get

$\dfrac{3^x}{2^x} = 3 \cdot \dfrac{2^x}{2^x} \\\\ \implies \left(\dfrac32\right)^x = 3$

Take the base-3/2 logarithm of both sides:

$\log_{3/2}\left(\dfrac32\right)^x = \log_{3/2}(3) \\\\ \implies x \log_{3/2}\left(\dfrac 32\right) = \log_{3/2}(3) \\\\ \implies \boxed{x = \log_{3/2}(3)}$

Alternatively, you can divide both sides by $3^x$ :

$\dfrac{3^x}{3^x} = \dfrac{3\cdot 2^x}{3^x} \\\\ \implies 1 = 3 \cdot\left(\dfrac23\right)^x \\\\ \implies \left(\dfrac23\right)^x = \dfrac13$

Then take the base-2/3 logarith of both sides to get

$\log_{2/3}\left(2/3\right)^x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x \log_{2/3}\left(\dfrac23\right) = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(3^{-1}\right) \\\\ \implies \boxed{x = -\log_{2/3}(3)}$

(Both answers are equivalent)

8 0

3 years ago