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alexdok [17]
3 years ago
8

Find the slope of the line that passes through the pair of points (–1.75, 14.5) and (–1, 4.4). Round to the nearest hundredth if

necessary.
a.2.52

b.–13.47

c.–1.61

d.–0.07
Mathematics
2 answers:
Feliz [49]3 years ago
5 0

For this case we have that by definition, the slope of a line is given by:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}

Two points are needed through which the line passes:

(x_ {1}, y_ {1}): (- 1.75; 14.5)\\(x_ {2}, y_ {2}}: (- 1; 4.4)

Substituting:m = \frac {4.4-14.5} {- 1 - (- 1.75)}\\m = \frac {-10.1} {0.75}\\m = -13.46666666

Rounding:

m = -13.47

Answer:

m = -13.47

guajiro [1.7K]3 years ago
4 0

Answer:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}

Two points are needed through which the line passes:

(x_ {1}, y_ {1}): (- 1.75; 14.5)\\(x_ {2}, y_ {2}}: (- 1; 4.4)

Substituting:m = \frac {4.4-14.5} {- 1 - (- 1.75)}\\m = \frac {-10.1} {0.75}\\m = -13.46666666

Rounding:

m = -13.47

Step-by-step explanation:

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A farmer wishes to fence a rectangular area behind his barn. The barn forms one end of the rectangle and the length of the recta
Semenov [28]
1. The formula for calculate the perimeter of a rectangle, is:

 P=2L+2W

 P is the perimeter of the rectangle (P=320 feet).
 L is the lenght of the rectangle.
 W is the width of the rectangle.
<span>
 2. The problem says that the length of the rectangle is three times the width, so you have:
</span>
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 3. When you substitute L=3W and P=320, into P=2L+2W, you obtain:

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 320=2(3W)+2W
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3 years ago
In a particular triathlon the athletes cover 1/24 of the total distance by
pav-90 [236]

Answer:

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Step-by-step explanation:

Let "d" be the total distance, that is, the distance for swimming (s), running (r) and going by bike (b).

d = s + r + b   [1]

1/24 of the total distance is covered by  swimming.

s = 1/24 d   [2]

1/3 of the distance is covered by running.

r = 1/3 d  [3]

If we replace [2] and [3] in [1], we get

d = 1/24 d + 1/3 d + b

b = d - 1/24 d - 1/3 d

b = 24/24 d - 1/24 d - 8/24 d

b = 15/24 d = 5/8 d

The ratio of  the distance covered by bike to the distance covered by running is:

b/r = (5/8 d)/(1/3 d) = 15/8

5 0
2 years ago
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