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dexar [7]
3 years ago
9

please explain this to me. so i came across this act question. the book explains the answer but i dont understand (answer is B)​

Mathematics
1 answer:
DanielleElmas [232]3 years ago
4 0

we know line P is y = 3x.

parallel lines have the same slope but different y-intercept, where the graph touches the y-axis.  So then parallel lines is the same equation but shifted some either upwards or downwards or sideways.

so then line Q must be the same as P, y = 3x + "some change", well, we notice that the perpendicular distance from each other is 3 units, so then, the y-intercept of P is at (0, 0), thus the y-intercept of Q must be 3 units downwards, at (0, -3), since Q is shifted downwards, thus Q is y = 3x - 3.

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Sam’s brother is 7 years older than Sam . His mother is 4 less than 3 times Sam’s age . Their combined age is 63 . How old is Sa
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Answer:

Sam is 12, sam's brother is 19, and sam's mom is 32.

Step-by-step explanation:

First the equation you need to use is S+7+S+3S-4=63(the variable s represents Sam), you combine the like terms which then equals 5S+3=63, then you use inverse operations. Subtract 3 on both sides, 5S=60, then you divide on both sides which equals S equals 12. Then you just plug in the number, S is Sam which means Sam's 12. Then 12+7 which is 19, Sam's brother. Then 3 times 12 minus 4 is 32. And if you check to make sure, 12+19+32 does equal 63.

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3 years ago
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The answer is 59

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3 years ago
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Step-by-step explanation:

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