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2 years ago

A line passes through the points (4, -1) and (2,3). What is the slope of the line?

Mathematics

2 answers:

elena-14-01-66 [18.8K]2 years ago

5 0

Slope = (Yb - Ya) / (Xb - Xa)
Slope = (3 - (-1)) / (2 - 4)
Slope = (3 + 1) / (-2)
Slope = 4/-2
Slope = -2

Licemer1 [7]2 years ago

4 0

-2 you do y2-y1/x2-x1 i believe

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What is the value of b^2 0 4ac for the following equation? 2x^2 0 2x 0 1 = 0 04 0 12

tigry1 [53]

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mrs_skeptik [129]

Complete Question

The complete question is shown on the first uploaded image

Answer:

$P(U |D ) = 0.198$

$P(O\ n \ B) = 0.188$

$P(O | B) = 0.498$

Step-by-step explanation:

The total number of deaths is mathematically represented as

$T = 16 + 23 + \cdots + 16$

$T =623$

The total number of deaths in 1996 - 2000 is mathematically represented as

$T_a = 16 + 23+ \cdots + 30$

$T_a = 235$

The total number of deaths in 2001 - 2005 is mathematically represented as

$T_b = 17 + 16 + \cdots + 23$

$T_b = 206$

The total number of deaths in 2006 - 2010 is mathematically represented as

$T_c = 15 + 17 + \cdots + 16$

$T_d = 182$

Generally the the probability that it would occur under the tree given that the death was after 2000 is mathematically represented as

$P(U |D ) = \frac{P(A \ n\ U )}{P(A)}$

Here $P(A \ n\ U )$ represents the probability that it was after 2000 and it was under the tree and this is mathematically represented as

$P(A \ n\ U ) = \frac{Z}{ T}$

Here Z is the total number of death under the tree after 2000 and it is mathematically represented as

$Z = 35 + 42$

=> $Z = 77$

=> $P(A \ n\ U ) = \frac{77}{ 623}$

Also

$P(A)$ is the probability of the death occurring after 2000 and this is mathematically represented as

$P(A) = \frac{T_b + T_c}{ T}$

=> $P(A) = \frac{ 206+ 182}{623}$

$P(U |D ) = \frac{\frac{77}{ 623} }{ \frac{ 206+ 182}{623}}$

=> $P(U |D ) = 0.198$

Generally the probability that the death was from camping or being outside and was before 2001 is mathematically represented as

$P(O | B) = \frac{T_z}{ T}$

Here $T_z$ is the total number of death outside / camping before 2001 and the value is 117

$P(O \ n \ B) = \frac{117}{623}$

=> $P(O\ n \ B) = 0.188$

Generally the probability that the death was from camping or being outside given that it was before 2001 is mathematically represented as

$P(O | B) = \frac{ P( O \ n \ B)}{ P(B)}$

Here $P(B)$ is the probability that it was before 2001 , this is mathematically represented as

$P(B ) = \frac{T_a}{T}$

=> $P(B ) = \frac{235}{623}$

$P(O | B) = \frac{ \frac{117}{623}}{ \frac{235}{623}}$

=> $P(O | B) = 0.498$

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3 years ago

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laila [671]

Answer:

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Step-by-step explanation:

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2 years ago

Solve the following using Substitution Method. c= 3d - 27 4d + 10c =120

svp [43]

Answer:

d=30-5c/2

Step-by-step explanation:

Move all terms that don't contain d to the right side and solve

8 0

3 years ago

a flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 30 feet mor

yarga [219]

Turn phrases into mathmatical expressions:

"one side(s) twice the length of the shortest side(x)" = 2x
"the third side(t) is 30 feet more than the length of the shortest side " = x+30
Shortest side= x

Perimeter= side1+ side 2 + side 3
138ft= x+2x+x+30
138= 4x+30
108=4x
x= 27 feet

Answer:
The shortest side is 27ft. The middle side 2x= 2(27)= 54ft. The longest side being x+30= 27+30= 57ft.

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3 years ago

A line passes through the points (4, -1) and (2,3). What is the slope of the line?​

A line passes through the points (4, -1) and (2,3). What is the slope of the line?