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frez [133]
3 years ago
9

Solve the equation 4*e+2=1 (mod5)

Mathematics
1 answer:
otez555 [7]3 years ago
4 0

Here's a way to do it.

Let 4e +2 = 5n +1 . . . . . . for some integer n

Then e = (5n -1)/4 = n + (n -1)/4

We want (n-1)/4 to be an integer, so let it be integer m.

... m = (n -1)/4

... 4m = n -1

... 4m +1 = n

Substituting this into our expression for e gives

... e = (5(4m+1) -1)/4 = (20m +4)/4 = 5m +1

e = 5m+1 for any integer m

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Solve for x then solve for b
trasher [3.6K]

Answer:

x= 6 and b= 126°

Step-by-step explanation:

okay the first step to solving this is understanding what are the properties of ∠A and ∠B.

so the angles are equal to each other because they are alternate interior angles.

if that is settled it means the equation for both angles would be equal to each other as well.

∠A= 8x + 78°  ∠B= 2x + 114°

therefore: 8x + 78= 2x + 114

                 then solve for x:

  • isolate x and the answer is equal to 6 at the end

now you are looking for angle b, so you input x which is 6 into the equation;

  • ∠B= 2x + 114°

    = 2(6) + 114°

    =12 + 114°

    =126°

3 0
3 years ago
Read 2 more answers
On the way to a basketball game, five students rode in a car and the rest divided into three buses equally. How many students we
Genrish500 [490]
5+3x=53
3x=48
x=16 students per bus
3 0
3 years ago
A lab has two bacteria cultures . Culture A contains 8 x 10 to the 4th power . And culture B contains 4 x 10 to the 6th power .
kipiarov [429]

Answer:

Hope this helps if not sorry :(

Step-by-step explanation:

4*10^6 / 8*10^4 = 50

Culture B is 50 times larger than culture A

5 0
2 years ago
What is the answer to negative three fourths plus four fiths
Tamiku [17]

Answer:

1/20

Step-by-step explanation:

-\frac{3}{4}+\frac{4}{5}=

-3/4=-15/20

4/5=16/20

16/20+-15/20=1/20

6 0
2 years ago
Find the equation in slope-intercept form that describes a line through (–1, 1) and (2, 3)
Butoxors [25]

Answer:

  y = 2/3x + 5/3

Step-by-step explanation:

The slope of the line is ...

  slope = (change in y)/(change in x) = (3-1)/(2-(-1)) = 2/3

Then the point-slope form of the desired line can be written ...

  y = m(x -h) +k . . . . . slope m through point (h, k)

  y = 2/3(x +1) +1 . . . . slope 2/3 through point (-1, 1)

  y = 2/3x + 5/3 . . . . . . simplify to slope-intercept form

5 0
3 years ago
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