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ololo11 [35]
3 years ago
12

Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is −6? Drag each choice into t

he boxes to correctly complete the table. Parallel Perpendicular Neither
line n, with slope −6 line p, with slope 16 line q, with slope −16line

m, with slope 6
Mathematics
1 answer:
sesenic [268]3 years ago
8 0

Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is −6?

Parallel, slope is the same, perpendicular slope is opposite and reciprocal

so

line n, with slope −6 , same slope -----> Parallel

line p, with slope 1/6 , opposite and reciprocal  -----> Perpendicular

line q, with slope −1/6 , -----> Neither

line  m, with slope 6, -----> Neither

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A fence is to be built to enclose a rectangular area of 320 square feet. The fence along three sides is to be made of material t
sergeinik [125]

The dimensions of the enclosure that is most economical to construct are; x = 14.22 ft and y = 22.5 ft

<h3>How to maximize area?</h3>

Let the length of the rectangular area be x feet

Let the width of the area = y feet

Area of the rectangle = xy square feet

Or xy = 320 square feet

y = 320/x  -----(1)

Cost to fence the three sides = $6 per foot

Therefore cost to fence one length and two width of the rectangular area

= 6(x + 2y)

Similarly cost to fence the fourth side = $13 per foot

So, the cost of the remaining length = 13x

Total cost to fence = 6(x + 2y) + 13x

Cost (C) = 6(x + 2y) + 13x

C = 6x + 12y + 13x

C  = 19x + 12y

From equation (1),

C = 19x + 12(320/x)

C' = 19 - 3840/x²

At C' = 0, we have;

19 - 3840/x² = 0

19 = 3840/x²

19x² = 3840

x² = 3840/19

x = √(3840/19)

x = 14.22 ft

y = 320/14.22

y = 22.5 ft

Read more about Maximization of Area at; brainly.com/question/13869651

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8 0
2 years ago
While at the store Mai finds a pair of boots she likes for $45.
uysha [10]

Answer:

$31.5 i used a caculator

Step-by-step explanation:

8 0
3 years ago
The table below shows the scores for two teams playing a series of four card games.
zlopas [31]
Team 1 has -2 points and team 2 has -1 points team 2 is the winner and the results of four games would not change anything as both games 3 and 4 when added together would end up as zero extra points so it would not change anything
4 0
3 years ago
Read 2 more answers
When lines are parallel, they are____________________.
son4ous [18]
When lines are parallel, they are INDEPENDENT.

Parallel lines are identified as such when these lines do not intersect. They run in the same direction. They keep the same distance apart and they have the same slope.


4 0
4 years ago
Which proportion can be used to show ac and df have equivalent slopes
Evgen [1.6K]

Answer:

Option D is correct.

Step-by-step explanation:

7 0
3 years ago
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