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Lady bird [3.3K]
3 years ago
11

What is the equation of a line that passes through (1,5) and (3,11)? Show work please.

Mathematics
1 answer:
jekas [21]3 years ago
3 0
First, find the gradient/slope:
Use slope formula:
m=(y2-y1)/(x2-x1)
=(11-5)/(3-1)
=6/2
=3
Then use the line equation formula:
y=mx+c
You can substitute (1,5) if you like, also must substitute the slope as well!
5=3x1+c
c=2
Then find the full equation, which gives you the answer:
y=3x+2
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Answer:

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7 0
2 years ago
Theorem: the sum of any two even integers equals 4k for some integer k. "proof: suppose m and n are any two even integers. by de
icang [17]

Remark

The proof is only true if m and n are equal. Make it more general.

m = 2k

n = 2v

m + n = 2k + 2v = 2(k + v).

k and v can be equal but many times they are not. From that simple equation you cannot do anything for sure but divide by 2.

There are 4 combinations

m is divisible by 4 and n is not. The result will not be divisible by 4.

m is not divisible by 4 but n is. The result will not be divisible by 4.

But are divisible by 4 then the sum will be as well. Here's the really odd result

If both are even and not divisible by 4 then their sum is divisible by 4

3 0
3 years ago
Beyonce is solving a system of equations:
Sholpan [36]

Answer:

Beyonce will get the same result.

Step-by-step explanation:

The given system is

2x-3y=-2

and 4

x+y=24

This system contains two lines that are not parallel to each other therefore the solution x=5, y=4 is unique.

It doesn't matter which method he used or which variable he eliminated first.

The solution will still be the same.

If the system of two equations with has no solution, the Beyonce will not get a solution in the first place, but the fact that the system has no solution remains the same even if Beyonce uses a different method.

If there are infinite solutions, Beyonce might get different solutions using a different method, but the fact that the system has infinite solution remains the same.

4 0
3 years ago
Please help!!! For extra credit.
qaws [65]

Answer:

x=24

Step-by-step explanation:

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8x - 7x = 11 + 13; (moving xs to one side, the rest to the other)

x = 24

7 0
3 years ago
Of the students at Milton middle school 171 are girls if 45% of the students are girls how many total students are there at milt
Volgvan

Answer:

380

Step-by-step explanation:

171:45=3,8

3,8*100=380

8 0
3 years ago
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