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il63 [147K]
3 years ago
15

Given points A (-5, 6) and B (7, -1), find: Distance, Midpoint, and Slope

Mathematics
1 answer:
a_sh-v [17]3 years ago
4 0
We have that
<span>points A (-5, 6) and B (7, -1)

Part A)
find the distance
d=</span>√[(y2-y1)²+(x2-x1)²]-------> d=√[(-1-6)²+(7+5)²]----> d=√(49+144)
d=√193  units

Part B)
find the midpoint
ABx=(x1+x2)/2-----> (-5+7)/2-----> ABx=1
ABy=(y1+y2)/2-----> (-1+6)/2-----> ABy=2.5

the midpoint is (1,2.5)

Part C)
find the slope
m=(y2-y1)/(x2-x1)-----> m=(-1-6)/(7+5)--------> m=-7/12

the slope m=-7/12
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Y = -41.
EXPLANATION.
if -5 is the midpoint, it must be -5 + 36.
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3 years ago
Find the slope or state why it’s undefined
Kaylis [27]

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Step-by-step explanation:

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Question:
faltersainse [42]

Answer:

The probability that a ship that is declared defecive is sound is 0.375

Step-by-step explanation:

Let P(A|B) denote the conditional probability of A given B. We will make use of the equation

P(A|B) = P(A) × P(B|A) / P(B)

We have the probabilities:

  • P(Declared Defective (detected) | Defective) = 0.95
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  • P(Declared Sound | Sound) = 0.97
  • P(Declared Defective |Sound) = 1-0.97=0.03
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We can calculate:

P(Declared Defective)= P(Detected | Defective)×P(Defective) + P(Declared Defective |Sound) ×P(Sound) = 0.95×0.05 + 0.03×0.95=0.076

P(S | Declared Defective) =

(P(Sound) × P(Declared Defective | Sound)) / P(Declared Defective)

=0.95×0.03 /0.076 =0.375

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2 years ago
What is the slope of the line represented by the equation y = 2x - 3?
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Answer:

5

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y is the square root of (25^2 + 15^2)

y = √(625 + 225)

y = √850

y = √(2 * 5*5 * 17)

y = 5 * √34

5 goes in the box.

8 0
3 years ago
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