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sergij07 [2.7K]
4 years ago
10

Solve for x

ac%7Ba%7D%7Bb%2Bc%7D%20" id="TexFormula1" title=" \frac{a}{x} + \frac{b}{c} = \frac{a}{b+c} " alt=" \frac{a}{x} + \frac{b}{c} = \frac{a}{b+c} " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
larisa86 [58]4 years ago
4 0
Easy
make denomenators the same

Step 1
multiply both sidesby (x)(c)(b+c)
(a)(c)(b+c)+(b)(x)(b+c)=(a)(x)(c)

Step 2
distribute
acb+ac²+xb²+bxc=axc

Step 3
minus (acb+ac²) from both sides
xb²+bxc=axc-acb-ac²

Step 4
minus axc from both sides
xb²+bxc-axc=-acb-ac²

Step 5
undistribute x
x(b²+bc-ac)=-acb-ac²

Step 6
divide both sides by (b²+bc-ac)
x= \frac{-acb-ac^2}{b^2+bc-ac} =\frac{acb+ac^2}{ac-b^2-bc}
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Answer:

should be 4 square units

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7 0
3 years ago
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Answer:

13188mm^2

Step-by-step explanation:

D=60mm
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3 years ago
Determine the vertex of the function f(x) = 3x2 – 6x + 13. 1. Identify the values of a and b. a = and b = 2. Find the x-coordina
Sveta_85 [38]
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a=3, b=-6, c=13
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answers are in bold. 
5 0
3 years ago
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An arithmetic sequence has a first term of 10 and a sixth term of 40. What is the 20th term of this sequence?
Aleks04 [339]
In An arithmetic sequence will add or subtract the same thing each time to find the next term. In this case we start with 10 and need to get to 40 on the 6th term. This is a difference of 30 that needs to be divided by 5 open spaces. You are adding 6 each time.

10, 16, 22, 28, 34, 40, _,_,_,_, 70, _,_,_,_,100,_,_,_, 124.

Another way to do this would be to look at the 5th term and multiply it by 4 to get to the 20th term. 34 x 4 = 124.
6 0
3 years ago
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<span>2(3z-2)+8=34
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answer </span><span>D. z=5</span>
6 0
3 years ago
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