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2 years ago

Find the equation of the line through (10, 4) that is parallel to the line with the equation

Mathematics

1 answer:

lyudmila [28]2 years ago

6 0

Answer:

x + y = 14

Step-by-step explanation:

Parallel lines have the same slope, so the line's slope will be -1.

Plug this slope and the given point into y = mx + b to find b:

y = mx + b

4 = -1(10) + b

4 = -10 + b

14 = b

Then, plug this and the slope into y = mx + b

y = -x + 14

Then, put this into standard form by moving the x to the other side:

x + y = 14 is the equation in standard form

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3 years ago

A school wants to put on a dance recital Middle School dancers have short programs that run 4 minutes long High School performer

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Answer: The answer is $\textup{M}+\textup{H}\leq 10~~\textup{and}4\textup{M}+7\textup{H}\leq 90.$

Step-by-step explanation: Given that a school wants to put on a dance recital. The programs of Middle school dancer will be short of 4 minutes each and programmes of High school performers will be long of 7 minutes each.

Number of middle school dances is "M" and number od high school dances is "H".

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2 years ago

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Step-by-step explanation:

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x + 7.5 = 10

Subtracting 7.5 from the left hand side and the right hand side of the equation, it becomes

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