3 years ago

F(n) restul impartirii lui n la 3

Mathematics

1 answer:

AleksAgata [21]3 years ago

4 0

Answer:

juacho Men aloviukqjjajqjqja

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5x = 4y + 28

stich3 [128]

Answer:

x = 36

Step-by-step explanation:

Rearrange the equations before solving simultaneously

4y = -5x - 28

2y = 7x - 24

now subtract

4y - 2y = 2y

5x - 7x = -2x

-28 - - 24 = -4

put these values together.

2y - 2x - 4.

2y = 2x + 4

y = 2x + 4 / 2

y = x + 2

substitute this into one of the 1st equations in the question.

5x = -4(x + 2) + 28

5x = -4x + 8 + 28

5x = -4x + 36

9x = 36

x = 4.

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The center of a cricle ids (h,7) and the radius is 10. The circle passes through (3,-1). Find all possible values of h.

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$center\ of\ a\ circle:(a;\ b)\\\\radius:r\\\\(x-a)^2+(y-b)^2=r^2\\\\========================\\\\(h;\ 7);\ r=10\\\\(x-h)^2+(y-7)^2=10^2\\\\========================$

$The\ circle\ passes\ throught\ (3;-1).\\\\Substitute\ x=3\ and\ y=-1:\\\\(3-h)^2+(-1-7)^2=100\\\\(3-h)^2+(-8)^2=100\\\\(3-h)^2+64=100\ \ \ /-64\\\\(3-h)^2=36\iff3-h=\pm\sqrt{36}\\\\3-h=-6\ or\ 3-h=6\\-h=-6-3\ or\ -h=6-3\\-h=-9\ or\ -h=3\\h=9\ or\ h=-3\\\\Answer:h=9\ or\ h=-3$

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The ratio of volumes is the cube of the scale factor.

Prism 2 has a volume of (24 cm³)×(1/2)³ = 3 cm³

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