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Margaret [11]
3 years ago
7

Another question: r = ab/a+b Find a....

Mathematics
2 answers:
AnnyKZ [126]3 years ago
8 0
I think the answer is br/b-r = a 
MArishka [77]3 years ago
4 0
Keep in mind, because they didn't give us any values we can only find what a equals in terms of the other variables. You'll see what I mean after we get to the final answer. 

r = (ab)/(a+b)

Multiply both sides by (a+b)

r(a+b) = (ab)

Divide by r on both sides. 

(a+b) = (ab)/r

Subtract b on both sides. 

a = ((ab)/r) - b 

You can't simplify it any further to my knowledge. Well, besides getting a common denominator with b and subtracting them, but it won't really simplify things. 

Now. Let's get a better answer... haha. Here we go: 

r = (ab)/(a+b) 

Same step. Multiply on both sides. 

r(a+b) = (ab)

This time distribute the r to all values. 

ar + br = (ab)

Subtract ar on both sides. 

ar + br - ar = ab - ar

br = ab - ar

Next step! Factor "a" out of ab - ar by making it a quantity time "a" with "a" removed...
it's easier to show than to explain. So here you go: 

br = a(b - r) 

Divide (b - r) on both sides. 

(br)/(b-r) = a

Hope that helped some! :p 
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A backyard pool has a concrete walkway around it that is 3 feet wide on all sides. The total area of the pool and the walkway is
Sloan [31]

Answer:

x \approx 21.080\,ft, y = 29.080\,ft

Step-by-step explanation:

The total area of the pool and the walkway is:

(x + 6\,ft)\cdot (y + 6\,ft) = 950\,ft^{2}

(x + 6\,ft)\cdot (x + 14\,ft) = 950\,ft^{2}

x^{2} + 20\cdot x + 84\,ft^{2} = 950\,ft^{2}

x^{2} + 20\cdot x - 866\,ft^{2} = 0

The roots of the second-order polynomial is:

x_{1} \approx 21.080\,ft and x_{2} \approx -41.081\,ft

The only possible root is:

x \approx 21.080\,ft

The other dimension of the pool is:

y = x + 8\,ft

y = 21.080\,ft + 8\,ft

y = 29.080\,ft

3 0
4 years ago
Evaluate the expression. 1/2 x (4+8)
Elanso [62]

Answer:

Hey there!

1/2 x (4+8)

1/2 x (12)

6

Hope this helps :)

8 0
3 years ago
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Rainbow [258]
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2 years ago
Ms. Lapido bought a car and pay for it $20.000.At the end of 10 years the car has no value whatsoever. Assuming that the car is
Leviafan [203]

Answer:

A) the value of the car will be 13,333.34 after 3 years ( not sure )

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4 0
3 years ago
PLEASE HELP
Alecsey [184]

Answer:

The answer to your question is letter B

Step-by-step explanation:

Process

1.- Find two points of each line

Line A    (-2, 0)   (-1, 2)

Line B    (-1. - 5)   (-6, 0)

2.- Find the slope and equation of each line

Line A

             m = \frac{2 - 0}{-1 + 2}

             m = \frac{2}{1}

                    m = 2

             y - 0 = 2(x + 2)

            y = 2x + 4

Line B

             m = \frac{0 + 5}{-6 + 1}

             m = \frac{5}{-5}

                    m = -1

             y - 0 = -1(x + 6)

             y = -x - 6

3.- Find the inequalities

Line A, we are interesteed in the lower area of the line, so the inequality is

                      y ≤ 2x + 4

Line B, we are also interested in the lower area of the line so the inequality is

                      y ≥ - x - 6

5 0
3 years ago
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