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zalisa [80]
3 years ago
11

Whats the midpoint of (-2,7)

Mathematics
1 answer:
Jobisdone [24]3 years ago
7 0

There isn't a midpoint when there's only one point. What's in the middle of one point? Unless you're talking about what number is directly in the middle of -2 and 7, at which it would be 3.

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The sides of a triangle have lengths of x, x + 5, and 25. If the longest side is 25, which of the following values of x would ma
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In a right angle, the sum of the squares of the two shorter sides is equal to the square of the longest side.
Here, the longest side is 25, the shorter sides are x and x+5.

x^2+(x+5)^2=25^2 \\
x^2+x^2+10x+25=625 \\
2x^2+10x+25=625 \ \ \ |-625 \\
2x^2+10x-600=0 \ \ \ |\div 2 \\
x^2+5x-300=0 \\
x^2+20x-15x-300=0 \\
x(x+20)-15(x+20)=0 \\
(x-15)(x+20)=0 \\
x-15=0 \ \lor \ x+20=0 \\
x=15 \ \lor \ x=-20


The length of a side must be a positive number, so x=15.
The answer is C.
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