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3 years ago

I NEED HELP CAN YALL PLEASE HELP ME WITH THIS?

Mathematics

2 answers:

Nuetrik [128]3 years ago

8 0

Answer:

<h2>P=4+√5+√13 the answer is C</h2>

Step-by-step explanation:

to find the perimeter , need to find the length(distance of the sides)

D=√(x2-x1)²+(y2-y1)²

D between BE and BD and ED

d of BE :

B(1,2) E(5,2)

D of BE = √(5-1)²+(2-2)²=√4²=4

D of BD : (1,2) , (2,4)

D=√(2-1)²+(4-2)² = √1²+2² = √5

ED : (5,2) , (2,4)

d=√(2-5)²+(4-2)²=√-3²+2² =√13

the perimeter= BE+BD+ED

Lynna [10]3 years ago

6 0

I believe the answer would be C, but I'm not sure.

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Solve the following equations: (a) x^11=13 mod 35 (b) x^5=3 mod 64

tino4ka555 [31]

$x^{11}=13\pmod{35}\implies\begin{cases}x^{11}\equiv13\equiv3\pmod5\\x^{11}\equiv13\equiv6\pmod7\end{cases}$

By Fermat's little theorem, we have

$x^{11}\equiv (x^5)^2x\equiv x^3\equiv3\pmod5$

$x^{11}\equiv x^7x^4\equiv x^5\equiv6\pmod 7$

5 and 7 are both prime, so $\varphi(5)=4$ and $\varphi(7)=6$ . By Euler's theorem, we get

$x^4\equiv1\pmod5\implies x\equiv3^{-1}\equiv2\pmod5$

$x^6\equiv1\pmod7\impleis x\equiv6^{-1}\equiv6\pmod7$

Now we can use the Chinese remainder theorem to solve for $x$ . Start with

$x=2\cdot7+5\cdot6$

Taken mod 5, the second term vanishes and $14\equiv4\pmod5$ . Multiply by the inverse of 4 mod 5 (4), then by 2.

$x=2\cdot7\cdot4\cdot2+5\cdot6$

Taken mod 7, the first term vanishes and $30\equiv2\pmod7$ . Multiply by the inverse of 2 mod 7 (4), then by 6.

$x=2\cdot7\cdot4\cdot2+5\cdot6\cdot4\cdot6$

$\implies x\equiv832\pmod{5\cdot7}\implies\boxed{x\equiv27\pmod{35}}$

$x^5\equiv3\pmod{64}$

We have $\varphi(64)=32$ , so by Euler's theorem,

$x^{32}\equiv1\pmod{64}$

Now, raising both sides of the original congruence to the power of 6 gives

$x^{30}\equiv3^6\equiv729\equiv25\pmod{64}$

Then multiplying both sides by $x^2$ gives

$x^{32}\equiv25x^2\equiv1\pmod{64}$

so that $x^2$ is the inverse of 25 mod 64. To find this inverse, solve for $y$ in $25y\equiv1\pmod{64}$ . Using the Euclidean algorithm, we have

64 = 2*25 + 14

25 = 1*14 + 11

14 = 1*11 + 3

11 = 3*3 + 2

3 = 1*2 + 1

=> 1 = 9*64 - 23*25

so that $(-23)\cdot25\equiv1\pmod{64}\implies y=25^{-1}\equiv-23\equiv41\pmod{64}$ .

So we know

$25x^2\equiv1\pmod{64}\implies x^2\equiv41\pmod{64}$

Squaring both sides of this gives

$x^4\equiv1681\equiv17\pmod{64}$

and multiplying both sides by $x$ tells us

$x^5\equiv17x\equiv3\pmod{64}$

Use the Euclidean algorithm to solve for $x$ .

64 = 3*17 + 13

17 = 1*13 + 4

13 = 3*4 + 1

=> 1 = 4*64 - 15*17

so that $(-15)\cdot17\equiv1\pmod{64}\implies17^{-1}\equiv-15\equiv49\pmod{64}$ , and so $x\equiv147\pmod{64}\implies\boxed{x\equiv19\pmod{64}}$

5 0

3 years ago

When x=1/2, what is the value of 8x-3/x

Viefleur [7K]

8x - 3/x

x = 1/2

(8 • 1/2) - 3/0.5

4 - 1.5

2.5

6 0

3 years ago

There are 6 green marbles, 11

algol13

Step-by-step explanation:

green: 6/4

red: 7/4

this is all i know

8 0

3 years ago

Cual es el factor de 10?

Katarina [22]

Answer:

The factors of 10 are 1, 2, 5, and 10.

Translation: Los factores de 10 son 1, 2, 5 y 10.

Step-by-step explanation:

1x10= 10

2x5= 10

8 0

3 years ago

Need help, please!! Don't anwser if you don't know it!!!!!!

Ne4ueva [31]

Answer:

Step-by-step explanation:

On the horizontal axis, as the discount (%) increases by 1(%), on the vertical axis; the sales increase (%) increases by 3(%).

When the discount is 10%, the sales increase is 32%.

When the discount is 20%, the sales increase is 62%.

20 - 10 = 10

10 × 3 = 30

32 + 30 = 62 (correct)

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3 years ago