3 years ago

The length of a rectangle is 3 less than 4 times the width. The perimeter is 34. Find the length and width of the rectangle

Mathematics

1 answer:

max2010maxim [7]3 years ago

6 0

I got -7.75 when i did it

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Line g passes through points (5, 9) and (3, 2). Line h passes through points (9, 10) and (2, 12). Are line g and line h parallel

icang [17]

For this case we find the slopes of each of the lines:

The g line passes through the following points:

$(x_ {1}, y_ {1}) :( 3,2)\\(x_ {2}, y_ {2}) :( 5,9)$

So, the slope is:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {9-2} {5-3} = \frac {7} {2}$

Line h passes through the following points:

$(x_ {1}, y_ {1}) :( 9,10)\\(x_ {2}, y_ {2}) :( 2,12)$

So, the slope is:

$m = \frac {y_ {2} -y_ {1}}{x_ {2} -x_ {1}} = \frac {12-10} {2-9} = \frac {2} {- 7} = - \frac {2} {7}$

By definition, if two lines are parallel then their slopes are equal. If the lines are perpendicular then the product of their slopes is -1.

It is observed that lines g and h are not parallel. We verify if they are perpendicular:

$\frac {7} {2} * - \frac {2} {7} = \frac {-14} {14} = - 1$

Thus, the lines are perpendicular.

Answer:

The lines are perpendicular.

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Glenda and Fiero are at a restaurant eating meal that costs $30. They have a discount coupon that gets them 10% off the cost. If

yaroslaw [1]

The cost of meal = $$30$

The tip to the waiter = $8%$ %

Discount = $10%$ %

Cost = $30 + 0.08 * 30 - 0.1 * 30$

Cost = $30(1 + 0.08 - 0.1)$

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So you need help with creating the table ?

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Answer:

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Step-by-step explanation:

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which of the following is the equation of a line in slope intercept form for a line with a slope equal 1/4 and Y intercept at (0

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Answer: the answer is A

Step-by-step explanation:

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