The slope of line d is 1/4
Perpendicular lines have slopes of negative reciprocals
The negative reciprocal of -4 is 1/4, because the reciprocal is when you flip-flop a fraction, and the opposite is adding a negative sign or taking away a negative sign
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Answer:
14b - 10ab + 34a²b - 64a²b²
Step-by-step explanation:
We have to simplify the expression
2ab + 3b + 7b + 3a × 3a × b + 4b - 8ab × 8ab + 5a × 5a × b - 12ab
= 2ab + 3b + 7b + 9a²b + 4b - 64a²b² + 25a²b - 12ab
{Since (3a × 3a × b) = 9a²b, (8ab × 8ab) = 64a²b² and (5a × 5a × b) = 25a²b}
= 2ab + 10b + 9a²b + 4b - 64a²b² + 25a²b - 12ab
= 14b - 10ab + 34a²b - 64a²b² (Answer)
Answer:
$ 208
Step-by-step explanation:
This problem can be solved in a very simple way and the hourly earnings of each product are calculated.
That is, its sale value for the time it costs to create it:
For T-shirts: Each one is worth $ 6 but in one you can make two, therefore
$ 12 per hour.
For shorts: Each one is worth 13 and one is made per hour, therefore
$ 13 per hour
Which means that the most productive thing is to sell all shorts.
It can work 16 hours maximum, therefore it can make 16 shorts.
So:
13 * 16 = $ 208
And this would be the maximum value that can be obtained and complies with the restriction of at least 12 products but less than 24 products.
Answer:
well, it depends
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Answer:
13 in³
Step-by-step explanation:
This is a skewed pyramid, but that doesn't change the way you find the volume of the figure.
The formula for the volume of a pyramid is 1/3(b)(h)
Multiply 6 by 6.5 to get 39, then divide it by 3 to get 13 in³