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kumpel [21]
3 years ago
8

Write the equation of the line perpendicular to 3x+2y=-8 that passes through (3,1). Write you answer in slope-intercept form. Sh

ow ALL your work!
Mathematics
1 answer:
Verdich [7]3 years ago
3 0

Answer:

y = (2/3)x - 1,  slope-intercept form

Step-by-step explanation:

3x + 2y = - 8

2y = -3x - 8

y = (-3/2) x - 4

Slope of this line is -3/2.

For the perpendicular line slope is 2/3.

Point - slope form is

(y - y1) = m(x - x1)

Point is (3,1). Slope m = 2/3.

y - 1 = (2/3)*(x - 3)

y - 1 = (2/3)x - 2

y = (2/3)x - 1,  slope-intercept form

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We have the following expression:
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If (x, 0) lies on the graph of y = logbx, then:
 
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3 0
3 years ago
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Write a linear equation. Choose three input values and find the corresponding output values. Show your work.
erma4kov [3.2K]

Example of linear equation:

y = mx + b

Let's have the linear equation;

y = 2x + 3

<h3 /><h3>Put x=1</h3>

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(x,y) = (1,5)

<h3>Put x=2</h3>

y = 2 \times 2 + 3 \\ y = 4 + 3 \\ y = 7

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7 0
2 years ago
Which answer represents the series in sigma notation? −3+(−1)+1+3+5 A:∑j=15(2j−5)
insens350 [35]

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A:∑j=15(2j−5)

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8 0
4 years ago
A fair coin is tossed 20 times. The probability of getting the three or more heads in a row is 0.7870 and the probability of get
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Answer:

The  value is  P( H \  n \  T ) =  0.6049

Step-by-step explanation:

From the question we are told that

   The  number of times  is  n  =  20  

   The probability of getting three or more heads in a row is  P(H) =  0.7870

   The probability of getting three or more heads in a row or three or more tails in a row is    P(H \ u \   T )  =  0.9791

Generally given that it is a fair coin , then   P(H) = P(T) =  0.7870

Here  P(T) is  probability of getting three or more tails  in a row

Generally  the probability of getting three or more heads in a row and three or more tails in a row is mathematically represented as

        P( H \  n \  T ) =  P(H) + P(T) -  P( H \  u \  T )

=>   P( H \  n \  T ) =  0.7870  + 0.7870 -  0.9791

=>   P( H \  n \  T ) =  0.6049

 

7 0
3 years ago
What is the cube root of 27a12
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