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xz_007 [3.2K]
3 years ago
11

Which of the following could be the lengths of the sides of a 45°-45°-90° triangle?

Mathematics
1 answer:
vlabodo [156]3 years ago
7 0

Answer:

the \: answer \: is \:  \:  {b}

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751,486 right valid of digit 5
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the answer is ten thousand
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For each x and n, find the multiplicative inverse mod n of x. Your answer should be an integer s in the range 0 through n - 1. C
krok68 [10]

Use the Euclidean algorithm to express 1 as a linear combination of x and n.

a. 52^{-1}\equiv40\pmod{77} because

77 = 1*52 + 25

52 = 2*25 + 2

25 = 12*2 + 1

so we can write

1 = 25 - 12*2 = 25*25 - 12*52 = (77 - 52)(77 - 52) - 12*52 = 77^2 - 2*52*77 + 52^2 - 12*52

Taken modulo 77 leaves us with

1\equiv52\cdot52-12\cdot52\equiv40\cdot52\pmod{77}\implies52^{-1}\equiv40\pmod{77}

b. First, 77\equiv25\pmod{52}, so really we're looking for the inverse of 25 mod 52. We've basically done the work in part (a) already:

1 = 25*25 - 12*52

Taken modulo 52, we're left with

1\equiv25\cdot25\pmod{52}\implies25^{-1}\equiv25\pmod{52}

c. The EA gives

71 = 1*53 + 18

53 = 2*18 + 17

18 = 1*17 + 1

so we get

1 = 18 - 17 = 3*18 - 53 = 3*71 - 4*53

so that taken module 71, we find

1\equiv(-4)\cdot53\pmod{71}\implies53^{-1}\equiv-4\equiv67\pmod{71}

d. Same process as with (b). First we have 71\equiv18\pmod{53}, and we've already shown that

1 = 3*18 - 53

which means, taken modulo 53, that

1\equiv3\cdot18\pmod{53}\implies71^{-1}\equiv18^{-1}\equiv3\pmod{53}

6 0
3 years ago
Which are solutions of the equation 4x2 – 7x = 3x + 24? Check all that apply. x = –4 x = –3 x = -3/2 x = 2/3 x = 2 x = 4
Ivahew [28]
4x2 - 7x = 3x + 24
 First we rewrite the quadratic equation:
 4x2 - 7x - 3x - 24 = 0
 4x2 - 10x - 24 = 0
 The solutions to the quadratic equation in this case are:
 x1 = 4
 x2 = -1.5
 Answer:
 x = -3/2
 x = 4
9 0
3 years ago
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I NEED HELP FAST GET BRAINLIEST AND 100 POINTS:
emmainna [20.7K]

Answer:

Function 2 shows a greater rate of change, because Edwin spends $9 each month and Adam spends $7 each month.

I found this out because for Adam, you simply subtract the y-coordinates from each other and get 7 each time. Edwin clearly shows that he Spends $9 each month with the negative sign.

Step-by-step explanation:

5 0
2 years ago
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Function K(v) represents the kinetic energy, in joules, of an object with a mass of 20 kilograms traveling with
SIZIF [17.4K]

Answer:

b. 225 joules

Step-by-step explanation:

plug in 5 m/s and 12.5 m/s in to v and h.

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