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Marysya12 [62]
3 years ago
7

Which literal equations are equivalent to ? Choose all answers that are correct.

Mathematics
1 answer:
vazorg [7]3 years ago
7 0
a.\\g=\frac{w}{m}\ \ \ \ |multiply\ both\ sides\ by\ m\neq0\\\\w=gm\ \boxed{c.}\\\\therefore:\boxed{a.}\ is\ equivalent\ to\ \boxed{c.}\\\\b.\\g=\frac{m}{w}\ \ \ \ |multiply\ both\ sides\ by\ w\neq0\\\\gw=m\ \ \ \ |divide\ both\ sides\ by\ g\neq0\\\\w=\frac{m}{g}\ \boxed{d.}\\\\therefore:\boxed{b.}\is\ equivalent\ to\ \boxed{d.}
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Solve by using the quadratic formula 3x^2+5=-2x
rosijanka [135]

Hello from MrBillDoesMath!

Answer:   -1/3 + i* (1/3) * sqrt(14)  and  -1/3 - i* (1/3) * sqrt(14)

Discussion :

Recall the solutions of the quadratic equation  "ax^2 + bx + c = 0" are given by the formula

x = ( - b +/- sqrt (b^2 - 4ac) )  / 2a


Rewriting the given equation in this for gives

3x^2 + 2x + 5 = 0


so a = 3, b = 2, and c = 5.  Substituting the values in the formula gives


x =  (- 2 + sqrt ( 2^2 - 4*3*5)  ) / 2a         #1

and

x =  (- 2 - sqrt ( 2^2 - 4*3*5)  ) / 2a       #2


Simplifying, #1 = ( -2   + sqrt(4-60) )/ (2 * 3)  =

                           -2/(2*3)  +  (sqrt(-56)) / (2*3) =

                            -1/3  + i * (sqrt (56)) /6 =

                            -1/3 +  i * (sqrt(4 *14)) /6 =

                            -1/3  + i * (sqrt(4)/6) * sqrt(14)  =

                            -1/3 + i * (2/6) * sqrt(14) =

                            -1/3 + i* (1/3) * sqrt(14)


Similarly, the solution of # 2=   -1/3 - i* (1/3) * sqrt(14). The only difference between the two solutions is the minus sign boldfaced above.


Regards, MrB




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Shkiper50 [21]

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Pamelas age is. 2 times jiris age. The sum of their ages is 30.what is jiris age?
Anettt [7]
Answer: 10

p = Pamela’s age, j = Jiris’ age

2j = p
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Then change things around a bit...
p + j = 30 or
30 - p = j

Then substitute
2(30 - p) = p

And solve
2(30 - p) = p
60 - 2p = p
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p = 20
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3 years ago
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How do you divide 16.87 by 3.5
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Answer:

4.82

Step-by-step explanation:

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Factor by grouping 2u^3+3u^2-14u-21
mariarad [96]
\bf 2u^3+3u^2-14u-21\implies (2u^3+3u^2)-(14u+21)
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