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3 years ago

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three fifths of the pens in a box with red pens the number of black pens was half the number of pens if there were 60 more red p

ens and blue pens how many black pens were there

1 answer:

Dennis_Churaev [7]3 years ago

6 0

Answer:

umm idk but when i find the answer ill tell u

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Point M is the midpoint of segment AB.<br> AM=3x+40 and MB=x^2. Find x and AB

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$\text{Hello there! :)}$

$x = 8\\\\AB = 128 \text{ units}$

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$\text{Since Point M is the midpoint of AB, then:}\\\\AM = MB\\\\$

$\text{Set the two equations equal to each other:}\\\\3x + 40 = x^{2} \\\\$

$\text{Move all terms over to one side to simplify more easily:}\\\\0 = x^{2} - 3x - 40$

$\text{Factor by finding numbers that sum up to -3 and multiply into -40:}\\\\0 = (x - 8)(x + 5)\\\\x = -5, 8$

$\text{The length of a segment cannot be negative, so choose the positive solution:}\\\\x = 8$

$\text{Substitute in this value of x into either AM or MB to solve for AB:}$

$AB = 2(MB)\\\\AB = 2(x^{2} )\\\\AB = 2(8^{2})\\ \\AB = 2(64)\\\\AB = 128 \text{ units}$

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