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AlekseyPX
3 years ago
8

Ab over 2 equal 2a minus 1,express a in terms of b

Mathematics
1 answer:
sasho [114]3 years ago
6 0

\frac{ab}{2} = 2a - 1

2(\frac{ab}{2}) = 2(2a - 1) <em>multiplied both sides by 2 </em>

ab = 4a - 2 <em>distributed the 2 on the right side</em>

ab - 4a = -2 <em>subtracted 4a from both sides</em>

a(b - 4) = -2 factored out "a" from the left side

a = \frac{-2}{b - 4} <em>divided (b - 4) on both sides</em>

Answer: a = \frac{-2}{b - 4}

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Question 1: Find the equation of the line through point (5,4) and perpendicular to y=−43x−2. Use a forward slash (i.e. "/") for
Mariulka [41]

Answer:

Question 1: y = 3/4x + 1/4.

Question 2: y = 6/5x + 7/5.

Step-by-step explanation:

Question 1: A line perpendicular to another line would have a slope that is the negative reciprocal of the other line. If the slope of the first line is -4/3, the slope of a line perpendicular to the first would have a slope of 3/4.

Since the line goes through (5, 4), we can just put the points into the equation, y = 3/4x + b.

4 = 3/4(5) + b

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So, the equation of the line is y = 3/4x + 1/4.

Question 2: 5x + 6y = -6

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As stated before, a line perpendicular to another will have a slope that is the negative reciprocal of the other. So, the slope of the other line is 6/5.

The line goes through (-2, -1), so we can put the points into the equation, y = 6/5x + b.

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b = -5/5 + 12/5

b = 7/5

So, the equation of the line is y = 6/5x + 7/5.

Hope this helps!

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1/3 * 4 = 1.33~

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3 years ago
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