Which expression is equivalent to the expression below?

Mathematics

2 answers:

Lelechka [254]3 years ago

8 0

d}4+4k

2(6k+4)-4(2+2k-1) writing down the question

12k+8-8-8k+4 multiplying the numbers by the coefficients

12k-8k+8-8+4 collecting like terms

4k+4 the answer

Nadya [2.5K]3 years ago

5 0

Answer:

D. 4+4k

Step-by-step explanation:

(12k +8) - (8+ 8k - 4)

12k +8 - 8 - 8k + 4

4k +4

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True or false (Picture provided)

Naya [18.7K]

<h2>Hello!</h2>

The answer is: True.

A counterexample is a way that we can prove that something is not true about a mathematical equation or expression, it's also considered as an exception to a rule.

So:

$sec^{2}x-1=\frac{cosx}{cscx}\\\\tg^{2}x=\frac{cosx}{\frac{1}{sinx}}\\\\\frac{1-cos2x}{1+cos2x}=cosxsinx$

Then, evaluating we have:

$\frac{1-cos(2*45)}{1+cos(2*45)}=cos(45)*sin(45)\\\\\frac{1-0}{1+0}=\frac{\sqrt{2} }{2}*\frac{\sqrt{2}}{2}\\\\1=\frac{(\sqrt{2})^{2} }{4}\\\\1=\frac{2}{4}\\\\1=\frac{1}{2}$