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3 years ago

Your the best if you could help

Mathematics

1 answer:

Andre45 [30]3 years ago

4 0

Answer:

see below

Step-by-step explanation:

1. a = 18, 2. n = -19, 3. x = -17, 4. v = -6, 5. a = 9, 6. x = -2, 7. k = -4, 8. m = -19

9. n = 3, 10. a = -7, 11. n = -5, 12. n = -6, 13. x = -1/3, 14. m = 2/3 15. m = -9.8

16. n = 7.9, 17. x = 0, 18. b = 2, 19. v = -8, 20. b = -4, 21. n = 3, 22. p = 3.3

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Yanka [14]

Answer:

$x=\frac{12}{7} \\y=\frac{12}{5} \\z=-12$

Step-by-step explanation:

Let's re-write the equations in order to get the variables as separated in independent terms as possible \:

First equation:

$\frac{xy}{x+y} =1\\xy=x+y\\1=\frac{x+y}{xy} \\1=\frac{1}{y} +\frac{1}{x}$

Second equation:

$\frac{xz}{x+z} =2\\xz=2\,(x+z)\\\frac{1}{2} =\frac{x+z}{xz} \\\frac{1}{2} =\frac{1}{z} +\frac{1}{x}$

Third equation:

$\frac{yz}{y+z} =3\\yz=3\,(y+z)\\\frac{1}{3} =\frac{y+z}{yz} \\\frac{1}{3}=\frac{1}{z} +\frac{1}{y}$

Now let's subtract term by term the reduced equation 3 from the reduced equation 1 in order to eliminate the term that contains "y":

$1=\frac{1}{y} +\frac{1}{x} \\-\\\frac{1}{3} =\frac{1}{z} +\frac{1}{y}\\\frac{2}{3} =\frac{1}{x} -\frac{1}{z}$

Combine this last expression term by term with the reduced equation 2, and solve for "x" :

$\frac{2}{3} =\frac{1}{x} -\frac{1}{z} \\+\\\frac{1}{2} =\frac{1}{z} +\frac{1}{x} \\ \\\frac{7}{6} =\frac{2}{x}\\ \\x=\frac{12}{7}$

Now we use this value for "x" back in equation 1 to solve for "y":

$1=\frac{1}{y} +\frac{1}{x} \\1=\frac{1}{y} +\frac{7}{12}\\1-\frac{7}{12}=\frac{1}{y} \\ \\\frac{1}{y} =\frac{5}{12} \\y=\frac{12}{5}$

And finally we solve for the third unknown "z":

$\frac{1}{2} =\frac{1}{z} +\frac{1}{x} \\\\\frac{1}{2} =\frac{1}{z} +\frac{7}{12} \\\\\frac{1}{z} =\frac{1}{2}-\frac{7}{12} \\\\\frac{1}{z} =-\frac{1}{12}\\z=-12$

8 0

3 years ago

Emma ran 4 1/2 miles. For 3/4 of her run,she ran uphill. How many miles did she run uphill?

Gemiola [76]

Answer:

its c hope it helps not totally sure but yeah

Step-by-step explanation:

6 0

3 years ago

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8a + 12b = 92 6a – 4b = 4 -- a =? b = ?

Yanka [14]

Answer:

a = 4 b = 5

Step-by-step explanation:

8a + 12b = 92......eqn 1

6a - 4b = 4......eqn 2

multiply eqn 2 by 3

18a - 12b = 12.....eqn 2

add eqn 1 and 2 to eliminate b

26a = 104

a = 4

put a = 4 into eqn 2

18(4) - 12b = 12

72 - 12b = 12

72 - 12 = 12b

60 = 12b

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3 years ago

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My name is Ann [436]

Answer:

triangular prism

Step-by-step explanation:

triangular prism is a prism in the shape of a triangle at 2 opposing faces

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3 years ago

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What are the coordinates of the points indicated on the graph?

diamong [38]

Answer:

look at where the points are placed y is 70 and x is 4 then you get (4, 70)

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2 years ago

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