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weeeeeb [17]
3 years ago
7

R(r1+r2)=r1r2 solve for R

Mathematics
2 answers:
ss7ja [257]3 years ago
5 0

R = (r₁r₂) / (r₁ + r₂)

<h3>Further explanation</h3>

\boxed{ \ R(r_1 + r_2) = r_1r_2 \ }

In the equation there are three variables, namely R, r₁, and r₂.

Our main plan is to isolate the variable R alone at the end of the process on one side of the equation until the variable will be equal to the value on the opposite side.

Let us solve R from the equation.

Both sides are divided by \boxed{ \ r_1 + r_2 \ }

Thus, the result is \boxed{\boxed{ \ R = \frac{r_1r_2}{r_1 + r_2} \ }}

That's all the steps to get R as a subject.

- - - - - - -

What if we solve for r₂?

- - - - - - -

\boxed{ \ R(r_1 + r_2) = r_1r_2 \ }

Or, we prepare as follows: \boxed{ \ r_1r_2 = R(r_1 + r_2) \ }

We use the distributive property of multiplication on the right side.

\boxed{ \ r_1r_2 = Rr_1 + Rr_2 \ }

Both sides are subtracted by \boxed{ \ Rr_2 \ }

\boxed{ \ r_1r_2 - Rr_2 = Rr_1 \ }

Again we use the distributive property of multiplication on the left side.

Pull r₂ out of the brackets.

\boxed{ \ r_2(r_1 - R) = Rr_1 \ }

Both sides are divided by \boxed{ \ r_1 - R \ }

Thus, the result is \boxed{\boxed{ \ r_2 = \frac{Rr_1}{r_1 - R} \ }}

That's all the steps to get r₂ as a subject.

<h3>Learn more</h3>
  1. Solve step by step for ²/₇m - ¹/₇ = ³/₁₄ brainly.com/question/4853649
  2. The inverse of a function brainly.com/question/3225044
  3. Solving for a subject from the equation brainly.com/question/6465937

Keywords: solve for R, r₁, r₂, both sides, divide, multiply, subject, steps, he distributive property of multiplication

romanna [79]3 years ago
4 0
We need to solve for R, This is really simple.

The original expression is:
R (r1 + r2) = r1r2

To solve for a certain variable, we need to get this variable alone on one side of the equation and equate it with the other side.

In the given expression, to get R alone on one side we have to eliminate (r1 + r2).
In order to do this, we will divide both sides by (r1 + r2).
Doing this, we get the solution as follows:
R = (r1r2) / (r1 + r2)
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vagabundo [1.1K]

Answer:

x = -2, x = 3 − i√8, and x = 3 + i√8

Step-by-step explanation:

g(x) = x³ − 4x² − x + 22

This is a cubic equation, so it must have either 1 or 3 real roots.

Using rational root theorem, we can check if any of those real roots are rational.  Possible rational roots are ±1, ±2, ±11, and ±22.

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g(2) = 12

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g(11) = 858

g(-22) = -12540

g(22) = 8712

We know -2 is a root.  The other two roots are irrational.  To find them, we must find the other factor of g(x).  We can do this using long division, or we can factor using grouping.

g(x) = x³ − 4x² − 12x + 11x + 22

g(x) = x (x² − 4x − 12) + 11 (x + 2)

g(x) = x (x − 6) (x + 2) + 11 (x + 2)

g(x) = (x (x − 6) + 11) (x + 2)

g(x) = (x² − 6x + 11) (x + 2)

x² − 6x + 11 = 0

Quadratic formula:

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x = (6 ± 2i√8) / 2

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5 0
3 years ago
35=11x. i need help
V125BC [204]

Answer:

x= 35/11

Step-by-step explanation:

steps

35 = 11x

swich sides

11x = 35

Divide both sides by 11

11x/11 = 35/11

simplify

x = 35/11

5 0
3 years ago
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