3 years ago

A surveyor locates points A, B, C, D, and E of a pond. Triangle CDE is similar to

Mathematics

1 answer:

EleoNora [17]3 years ago

7 0

C is the most reasonable answer

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Rearrange w= 3(2a + b) - 4 to make a the subject

Angelina_Jolie [31]

Answer:

$\boxed{a = \frac{w}{ 6} - \frac{b}{2} + \frac{2}{3} }$

Step-by-step explanation:

$Solve \: for \: a: \\ = > w=3(2a+b)-4 \\ \\ w=3(2a+b)4 \: is \: equivalent \: to \: 3(2a+b)-4= w: \\ = > 3(2a+b) - 4=w \\ \\ Expand \: out \: terms \: of \: the \: left \: hand \: side: \\ = > (3 \times 2a) + (3 \times b) - 4 = w \\ = > 6a+3b - 4=w \\ \\ Subtract \: 3b - 4 \: from \: both \: sides: \\ = > 6a + 3b - 4 - (3b - 4)=w - (3b - 4) \\ = > 6a = w - 3b + 4 \\ \\ Divide \: both \: sides \: by \: 6: \\ = > \frac{ \cancel{6}a}{ \cancel{6}} = \frac{w - 3b + 4}{6} \\ = > a = \frac{w}{6} - \frac{3b}{6} + \frac{4}{6} \\ = > a = \frac{w}{ 6} - \frac{b}{2} + \frac{2}{3}$