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GrogVix [38]
2 years ago
11

Given m varies directly with n and m = 6 when n = 5. what is the value of n when m = 12?

Mathematics
1 answer:
Rashid [163]2 years ago
7 0

Answer:

n = 10

Step-by-step explanation:

given m varies directly as n then the equation relating them is

m = kn ← k is the constant of variation

to find k use the condition m = 6 when n = 5

6 = 5k ( divide both sides by 5 )

k = \frac{6}{5} = 1.2

m = 1.2n ← equation of variation

when m = 12 , then

12 = 1.2n ( divide both sides by 1.2 )

10 = n

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20 points, please help
Damm [24]

Answer:

The answer to your question is:    83 + 6\sqrt{35}

Step-by-step explanation:

This is a square of a binomial.

                                  (2\sqrt{5} + 3\sqrt{7} )^{2}

1.- Square of the first term

                               ( 2\sqrt{5} )^{2} = 4(5) = 20

2.- Twice the product of the two terms

               (2)(2\sqrt{5} )(3\sqrt{7} ) = 6\sqrt{35}

3.- Square of the second term

                              (3\sqrt{7)})^{2} = 9(7) = 63

4.- Write the solution

                           20 + 6\sqrt{35} + 63

                            83 + 6\sqrt{35}

7 0
4 years ago
Factor x^2+6x-16 into the form (x+a)(x-b), what is a and b?
vfiekz [6]

Answer:

a=-8 b=2

Step-by-step explanation:

x^2+6x-16

x^2+(8-2)x-16=0

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(X+8)(x-2)=0

Compare with (X+a)(X+b)

Where we get a=-8 b=2

8 0
3 years ago
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