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Ber [7]
3 years ago
9

How to solve rational equations

Mathematics
1 answer:
VashaNatasha [74]3 years ago
4 0

Answer:

A rational number is a number that can be represented a/b where a and b are integers and b is not equal to 0.

   Find the common denominator.

   Multiply everything by the common denominator.

   Simplify.

   Check the answer(s) to make sure there isn't an extraneous solution.

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Write the given expression in terms of i : √-245
tankabanditka [31]
Okay, so first things first:
i = \sqrt{-1} 

That said, no answer that has -245 is correct.

Now we just need to solve \sqrt{245}
245/5=5*49
\sqrt{5}  * \sqrt{49} = 7i*\sqrt{5}
So, that's your answer, option D.

3 0
3 years ago
20 point Which of the following is a solution of x2 + 4x + 25? (1 point)
Dafna11 [192]
2 + I square root of 21
5 0
3 years ago
In ΔABC, ∠B measures 35° and the values of a and b are 19 and 11, respectively. Find the remaining measurements of the triangle,
Anna35 [415]

Answer:

a)  ∠A = 82.2° , ∠C = 62.8° , c =   17.01

Step-by-step explanation:

<u><em>Explanation</em></u>:-

<u><em>Step(i)</em></u>:-

Given data ∠B measures 35° and the values of a and b are 19 and 11

∠B = 35° and sides a = 19 and b = 11

<em>By using sine rule </em>

<em></em>\frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{Sin C}  = 2 R<em></em>

now we will use

\frac{a}{sin A} = \frac{b}{sin B}

\frac{19}{sin A} = \frac{11}{sin 35}

cross multiplication , we get

\frac{19 X sin 35}{11} = sinA

<em>sin A = 0.990</em>

<em>A = sin⁻¹( 0.990) = 82.2°</em>

<em> ∠A = 82.2°</em>

<u><em>Step(ii):-</em></u>

we know that ∠A +∠B +∠C = 180°

                         ∠C = 180° - ∠A -∠B

                          ∠C = 180° -82.2°-35°

                          ∠C = 62.8°

<u><em>Step(iii)</em></u>:-

<em>we will use formula</em>

<em></em>\frac{b}{sin B} = \frac{c}{Sin C}<em></em>

<em></em>\frac{11}{sin 35} = \frac{c}{Sin 62.8}<em></em>

\frac{11 X sin (62.8)}{sin 35} = C

<em>c =   17.01</em>

<u><em>Final answer</em></u>:-

<em> ∠A = 82.2° , ∠C = 62.8° , c =   17.01</em>

                         

4 0
3 years ago
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