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3 years ago

X+y=0 x-y+2=0 i need help

Mathematics

1 answer:

Irina-Kira [14]3 years ago

5 0

Answer:

x=-1,y=1

Step-by-step explanation:

x+y=0

x-y+2=0

Therefore 0=x+y

x-y+2=x+y

2y=2

y=1

x+1=0

x=-1

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Ben wants to get a 94 in math class. His grade will be the average of two test scores. He scored an 89 on the first test. What g

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Answer:

Ben needs to get a 99% on his second test

Step-by-step explanation:

The average is the sum of both test scores, divided by the total number of test scores (2).

Let x by the grade Ben must receive on his second test.

(89 + x)/2 = 94

Multiply by 2 on both sides

89 + x = 188

Subtract 89 on both sides

x = 99

Check work:

(89 + 99)/2 = 188/2 = 99

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about the second one... well, is a "fait accompli" that using the pythagorean theorem, if x = 8 and y = 5, the hypotenuse must be √(8² + 5²) = √(89), which is neither of those choices.

5, 8, 13 are no dice, namely 5² + 8² ≠ 13

25, 64, 17 is are no dice too, because 25² + 17² ≠ 64²

however, 5,12 and 13 are indeed a pythagorean triple

also is 39, 80, 89.

when looking for a pythagorean triple, recall that c² = a² + b².

so the longest leg is the sum of the square of the small ones.

so what you'd do is, check the small legs, square them, add them up, if they're indeed a pythagorean triple, they "must" add up to the longest leg.

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