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Dima020 [189]
3 years ago
7

List all integers between −100 and 100 that are congruent to −1 modulo 25.

Mathematics
1 answer:
777dan777 [17]3 years ago
4 0

"-1 modulo 25" is "1 less than a precise multiple of 25". 
So what are the exact or precise multiples of 25 in the appropriate interval? 
It is -75, -50, -25, 0, 25, 50, 75, and 100. 
Now just subtract 1 from each of them.

So the answers are -76, -51, -26, -1, 24, 49, 74, and 99.

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Answer:

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Step-by-step explanation:

The graph shows the solution. The first equation has a y-intercept of -4 and a slope of -2, so will go through the point (-2, 0).

The second equation has a y-intercept of +4 and a slope of 2, so will go through the point (-2, 0).

Both equations have the same x-intercept, so that x-intercept is the solution to the system of equations.

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3 years ago
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3 years ago
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Roman55 [17]
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5 0
2 years ago
Line A is represented by the following equation: x + y = 2
Orlov [11]

Answer:

ax+ay=k; a\ne0, k\ne2a; line D in the options.

Step-by-step explanation:

The set of equations has no solutions if the two lines are parallel. A quick way to create a parallel line is to solve for y, put it in slope-intercept form. Else, as long as the cofficient of x and y are in the same ratio (in this case 1:1), the two lines are parallel, you just have to be careful not to pick the same line again!

The condition a\ne 0 makes sure you are still getting lines (else you would get rid of both x and y); the condition k\ne 2a makes sure you're not picking line A again, just written in a different form.

Now that we have the options:

A and C have a different ratio for the coefficient of x and y (2:1 and 1:2) so are not good.

Choice B is just a more complicated way to write the same line, you can see by dividing both sides by 2 and get back x+y=2.

Line D is correct.

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3 years ago
I asked my question. I can not find were you helped me answer the question
Aloiza [94]
Go to profile and click on my questions

8 0
3 years ago
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