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2 years ago

How do you use the slope to prove lines are parallel or perpendicular?

1 answer:

8 0

For this, there is two rules. The common slope-intercept form is y=ax + b. For parallel, b can change, but a, or the slope, can't change. But for perpendicular, the a should be -1/a, where the answer for times the original equation, or a, and the second equation, or -1/a, is -1. To prove these two rules, you can graph it using random numbers but follow these two rules. if you have any part that don't understand for this answer, feel free to ask in the "Ask for details" section.

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Step-by-step explanation:

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2 years ago

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3 years ago

When Mei does 17 push-ups and 6 sit-ups, it takes a total of 35 seconds. In comparison, she needs 41 seconds to do 20 push-ups a

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Answer:

It takes 1 seconds for push-ups and 3 seconds for sit-ups for Mei to do exercise.

Step-by-step explanation:

Given:

Let the time taken for push-ups be 'x'.

Let the time taken for sit-ups be 'y'.

Now Given:

17 push-ups and 6 sit-ups, it takes a total of 35 seconds.

So we can say that;

$17x+6y=35 \ \ \ \ equation \ 1$

Also Given:

41 seconds to do 20 push-ups and 7 sit-ups.

so we can say that;

$20x+7y=41 \ \ \ \ equation \ 2$

Now Multiplying equation 1 by 7 we get;

$7(17x+6y)=35\times7\\\\119x+42y= 245 \ \ \ \ equation \ 3$

Now Multiplying equation 2 by 6 we get;

$6(20x+7y)=41\times6\\\\120x+42y = 246 \ \ \ \ equation\ 4$

Now Subtracting equation 3 from equation 4 we get;

$120x+42y-(119x+42y)=246-245\\\\120x+42y-119x-42y=1\\\\x=1\ sec$

Now substituting the value of x in equation 1 we get;

$17x+6y=35\\\\17\times1+6y=35\\\\17+6y=35\\\\6y=35-17\\\\6y= 18\\\\y=\frac{18}6 = 3\ seconds$

Hence It takes 1 seconds for push-ups and 3 seconds for sit-ups for Mei to do exercise.

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2 years ago

How many solutions does this system of linear equations have? Explain. xay y = x+ 3

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