The scale factor of dilation from AB to EF is 0.25
<h3>How to determine the scale factor of dilation?</h3>
The given parameters are:
- EFJL is dilation of ABIK
- AB has a length of 12
- EF has a length of 3
From the above parameters, side lengths AB and EF are corresponding sides
This means that:
The scale factor of dilation (k) is
k = AB/EF
So, we have
k = 3/12
Evaluate
k = 0.25
Hence, the scale factor of dilation from AB to EF is 0.25
Read more about scale factors at:
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Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
<span>Equation at the end of step 2 :</span> 6x2 - x - 4 = 0 <span>((2•3x2) - x) - 4 = 0
</span><span>Step 2 :</span>Trying to factor by splitting the middle term
<span> 2.1 </span> Factoring <span> 6x2-x-4</span>
The first term is, <span> <span>6x2</span> </span> its coefficient is <span> 6 </span>.
The middle term is, <span> -x </span> its coefficient is <span> -1 </span>.
The last term, "the constant", is <span> -4 </span>
Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 6</span> • -4 = -24</span>
Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is <span> -1 </span>.
<span><span> -24 + 1 = -23</span><span> -12 + 2 = -10</span><span> -8 + 3 = -5</span><span> -6 + 4 = -2</span><span> -4 + 6 = 2</span><span> -3 + 8 = 5</span><span> -2 + 12 = 10</span><span> -1 + 24 = 23
</span></span>
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
<span>Equation at the end of step 2 :</span><span> 6x2 - x - 4 = 0 </span>
You could distribute this expression to get and even MORE simplified expression. Add the two terms in the parentheses together so that you get 4(7x). Now you can simply multiply 4 by 7x which would equal 28x. The new expression is 28x.
The answer is B. I hope this helped.
Assuming what is meant by "infinite solutions" are infinite number of solutions of a logarithmic equation.
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