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Allushta [10]
3 years ago
8

A line with a slope -2 passes through the point (-1,4). Which equation represents this line in point-slope form?

Mathematics
1 answer:
sesenic [268]3 years ago
7 0

9514 1404 393

Answer:

  y-4 = -2(x+1)

Step-by-step explanation:

The point-slope equation of a line is ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

You have m = -2 and (h, k) = (-1, 4). Putting these numbers into the above form gives ...

  y -4 = -2(x +1)

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Given the lengths of two sides of a triangle, find the range for the length of the third side (between what two numbers should t
frozen [14]

Answer:

The length of the third side of given triangle lies between 6.5 and 19.9.

Step-by-step explanation:

The law of cosine is as follows

 c^{2} =a^{2}+b^{2}+2abcos\alpha---------------1

⇒ a and b are the given sides of the triangle and c is the third side, and \alpha is the angle between a and b .

In equation 1 , the maximum and minimum values of cos\alpha are 1 and -1.

 so the value of c  lies in between

⇒ \sqrt{a^{2}+b^{2}-2ab   } and  \sqrt{a^{2}+b^{2}+2ab  }   = |a-b| and |a+b|

Given a=13.2 and b=6.7 so the the side lies in between  |13.2-6.7| and |13.2+6.7|

  so the third side lies between 6.5 and 19.9

3 0
3 years ago
Please answer this question.
vovangra [49]

Answer:

C) 78

Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
A cylindrical swimming pool has a diameter of 16 feet and a height of 4 feet. About how many gallons of water can the pool conta
nikklg [1K]

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8 0
3 years ago
14. Determine whether x3 is O(g(x)) for each of these functions g(x). a) g(x) = x2 b) g(x) = x3 c) g(x) = x2 + x3 d) g(x) = x2 +
ad-work [718]

Answer:

Answer and explanation with steps are in the following attachments

Step-by-step explanation:

7 0
3 years ago
LET me know how you got the answer
andre [41]

6/2*3 / 3(3)

First simplify the numerator: 6/2*3 = 3*3 = 9

Next simplify the denominator: 3(3) = 3*3 = 9

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The 3rd answer is correct.

6 0
3 years ago
Read 2 more answers
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