Multiply (4-5i)(4+i)

a. We have GCD(34, 89) = 1; using the Euclidean algorithm,

89 = 2•34 + 21

34 = 1•21 + 13

21 = 1•13 + 8

13 = 1•8 + 5

8 = 1•5 + 3

5 = 1•3 + 2

3 = 1•2 + 1

b. Working backwards,

1 = 3 - 2

1 = 3 - (5 - 3) = 2•3 - 5

1 = 2•(8 - 5) - 5 = 2•8 - 3•5

1 = 2•8 - 3•(13 - 8) = 5•8 - 3•13

1 = 5•(21 - 13) - 3•13 = 5•21 - 8•13

1 = 5•21 - 8•(34 - 21) = 13•21 - 8•34

1 = 13•(89 - 2•34) - 8•34 = 13•89 - 34•34

c. Using the linear combination find in part b,

1 ≡ 13•89 - 34•34 (mod 89)

1 ≡ (-34)•34 (mod 89)

and

-34 ≡ -34 + 89 ≡ 55 (mod 89)

So, the inverse of 34 modulo 89 is 55.

d. Multiply both sides of the congruence by the inverse of 34:

55•34x ≡ 55•53 (mod 89)

x ≡ 2915 ≡ 32•89 + 67 ≡ 67 (mod 89)

Answer:

Option "C" none of these is the correct answer.

Step-by-step explanation:

The subset of the set {7, 8, 9} must have the elements of this set only.

Hope this helps :)

espero que sea de tu agrado la tarea que te estoy enviando

soy de peru

brillith2022

Answer:

In theory I would have started looking at the critical points of the function, ie where the tangent plane is horizontal. Trick is, since the function is linear in both x and y the tangent plane is the curve itself, and it's never horizontal. We have to parametrize the border and look in there.

From the last two conditions ([tex]x>0; y>0[/tex]) we are looking only at the first quadrant. Let's start drawing lines.

The various restrains are color coded in the graph ([tex]x+2y<10[/tex] is red, [tex]x+y<6[/tex] is blue, [tex]x>4[/tex] is orange). That leads to the right triangle with a grey border that gets parametrized as shown. Due to the linearity of the original function, the maximum is at one of the extremes (upper or lower depending if the coefficient of the parameter is positive or negative). At this point is just calculating the values, pick up the largest, and see which points correspond to that value of the parameter.

Number crunching done, the maximum is at (4,2)

Answer:

C and D

Step-by-step explanation:

Hope this helps :)

Answer:

x=115°,y=50°

Step-by-step explanation:

let <B =x

115°+x=180°

x=180°-115°=65°

Since <B=<C

x+65°=180

x=180-65=115°

For y,

y+2(65°)=180°

y+130°=180°

y=180°-130°=50°

Answer:

Step-by-step explanation:

(2ab^2 + 3c^2) (2ab^2 + 3c^2) = 4a^2b^4 + 6ab^2c^2 + 6ab^2c^2 + 9c^4

= 4a^2b^4 + 12ab^2c^2 + 9c^4

Answer:

y=1

Step-by-step explanation:

the y values r 1 n even using the calculation it will give 1 as y

Answer:

The slopes of A⁢B↔ and the parallel line through point C are equal.

Step-by-step explanation:

Edmentum

Answer:

The slopes of the parallel AB lines through point C  are equal.

Step-by-step explanation:

Answer:

You cannot factor this.

Step-by-step explanation:

Nothing can multiply, to equal 2 and add up to 5.

Answer:

-2

Step-by-step explanation:

4x - 7 > -17

(add 7 on both sides)

4x > -10

(divide both sides by 4 to isolate x)

x > - 2.5

An integer can not be a fraction. So the smallest integer value x can be is -2 because -2 is greater than -2.5.

Answer:

3 times

Step-by-step explanation:

75÷25=3 times greater than April

Answer:

2,4,6,

6,12,18

10,20,30

Answer:

X=30

Step-by-step explanation:

(2X + 6) + 36 = (4X- 18)

36=4X-18-2X-6

36=2X-24

2X = 60

X = 30

wELCOME

This is the ANSWER

Answer:

4 pounds 1 pound for each person

Answer:

m= 7/10 or m = 0.7

Step-by-step explanation:

Slope of the line between 2 points is found using the coordinates of the points.

m = (y2-y1) / (x2-x1) for (x1 = -3, y1 = 2) and (x2 = 7, y2 = 9)

m = (9 -2) / ( 7- -3)

m= 7 / 10

Answer:

The answer is C.

The answer is D.

Step-by-step explanation:

Thank you:)

Answer:

2.) x=−3 and y=0

Step-by-step explanation:

im still tryna figure out answer to number 1. sorry

Answer:

fluffy is the longest snake.

muffy is 900 millimeters longer than  fluffy

Step-by-step explanation:

PA BRAINLIEST

HOPE ITS HELP

GOD BLESS

Answer:

Falta informacion para poderlo realizar (   :

Step-by-step explanation:

Answer:

5+(11 x n)

Step-by-step explanation:

I hope this helps

Answer:

8/21

I don't think that it can be simplified further....

Answer:

⁸/₂₁

Step-by-step explanation:

²/₃ ·⁴/₇ = ⁸/₂₁

you just multiply the denominator with the denominator, and the numerator with the numerator.

Answer:

17. 4

18. 4w + 34

19. 39t + 54

Step-by-step explanation:

Answer:

answer of QN 17 is 3 ,answer of QN 18 is 4w + 34 and answer of QN 19 is 39t + 54

Answer:

Both

Step-by-step explanation:

An arithmetic sequence is given by the next form:

[tex]a_{n} = a_{1} + (n-1)d[/tex]

Where [tex]a[/tex] is the [tex]n^{th}[/tex] term of the sequence, [tex]a_{1}[/tex] the first term of the sequence and [tex]d[/tex] the common difference between terms.  

So the given sequence is of the form, because the common difference between terms is 0.

[tex]a_{n} = 31 + (n - 1) 0 = 31[/tex]

A geometric sequence is given by the next form

[tex]ar^0, ar^1, ar^2, ar^3, ar^4, \cdot \cdot \cdot[/tex]

When [tex]r\neq 0[/tex]

In this occasion our [tex]a=31[/tex] and the [tex]r = 1[/tex]

So both sequence represent the given one.

Answer:

3 1/3=−1/2x+(−3)

Step-by-step explanation:

The equation for the given problem can be written as 1/3 = -1/2x + -3. The correct option is (B).

A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.

The statement given in the problem is, " 1/3 is the same as the sum of −1/2 times a number and −3".

Suppose the unknown number be x.

Then, the equation for the given statement can be written as,

1/3 = -1/2x + -3

Hence, the equation that represents the given statement is 1/3 = -1/2x + -3.

To know more about linear equation click on,

https://brainly.com/question/11897796

#SPJ2

Answer:

c = 105 degres

Step-by-step explanation:

When two lines cross like that and form an x, the opposite sides are equal (so the angle below the 75 degree one is also 75 degees). Using this, you can figure out the rest.

If both the top an bottom are equal, you know that 150 degres are taken (75+75) and you know that there can only be 360 degres in total here, so you subtract 150 from 360 and get 210. Now you know that the last two sides together are 210, and since they are equal, you divide it by two to get 105 degrees.

Answer:

y - (-1) = 6/15 (x - 4)

(y + 1) 15 = 6 (x - 4)

15y + 15 = 6x - 24

15y = 6x -24 -15

15y = 6x - 39

Step-by-step explanation:

try hard

2 1/5

Step-by-step explanation:

3 - 1 = 2

2/5 - 1/5 = 1/5

2 + 1/5 = 2 1/5