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Mamont248 [21]
3 years ago
8

Katy wants to reduce 180/315, but shes wants to do it in one step. Which of the following is the greatest common factor that she

should use to reduce this fractions ?
A: 5
B: 45
C:9
D:30
Mathematics
2 answers:
Alecsey [184]3 years ago
7 0

Answer:

45

Step-by-step explanation:

It's 45 because both numbers can be divided into that number and its the largest.

BartSMP [9]3 years ago
4 0
B. 45

It's 45 because <span>both (180 and 315) can be evenly divided into that number and its the largest. The other answers reduce the fraction, however, it's not in the simplest form and has to be reduced again. </span>
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What is the solution set of x2 + y2 = 26 and x − y = 6? A. {(5, -1), (-5, 1)} B. {(1, 5), (5, 1)} C. {(-1, 5), (1, -5)} D. {(5,
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He two equations given are
x^2 + y^2 = 26
And
x - y = 6
x = y +6
Putting the value of x from the second equation to the first equation, we get
x^2 + y^2 = 26
(y + 6) ^2 + y^2 = 26
y^2 + 12y + 36 + y^2 = 26
2y^2 + 12y + 36 - 26 = 0
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y(y + 1) + 5 ( y + 1) = 0
(y + 1)(y + 5) = 0
Then 
y + 1 = 0
y = -1
so x - y = 6
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x = 5
Or
y + 5 = 0
y = - 5
Again x = 1
So the solutions would be (-1, 5), (1 , -5). The correct option is option "C".

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