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gladu [14]
3 years ago
14

Write the equation of a line parallel to y=3x-2 and goes through the point (-6,-11)

Mathematics
1 answer:
zzz [600]3 years ago
5 0

Answer:

The equation of the line would be y = 3x + 7

Step-by-step explanation:

In order to find the equation of the new line, start by taking the slope from the first line (3). This is because parallel lines have the same slope. Next, we use that and the point in point-slope form.

y - y1 = m(x - x1)

y - -11 = 3(x - -6)

y + 11 = 3(x + 6)

y + 11 = 3x + 18

y = 3x + 7

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mylen [45]

Answer:

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Step-by-step explanation:


3 0
3 years ago
Write an equation in standard form for a line that passes through (2,2) and (0,-3).
asambeis [7]
So,

The standard form is:
y = mx + b

First, we find "m," the slope.  Subtract the y-coordinates from each other.  Do likewise with the x-coordinates.

2 - -3 = 5
2 - 0 = 2

Slope = 5/2

y= \frac{5}{2} x+b

Now, we can substitute the second solution into this equation for x and y and solve for "b."

-3= \frac{5}{2} *0+b

-3= b

Now we have our complete equation.

y= \frac{5}{2} x-3
8 0
2 years ago
The random variable X~(30,2^2) <br> Find p(X&lt;33) <br> Find p(X&gt;26)
Ostrovityanka [42]

Answer:

i) P(X<33)  = 0.9232

ii) P(X>26) = 0.001

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the mean of the Population = 30

Given that the standard deviation of the Population = 4

Let 'X' be the Normal distribution

<u>Step(ii):-</u>

i)

Given that the random variable  X = 33

               Z = \frac{x-mean}{S.D}

               Z = \frac{33-30}{2} = 1.5 >0

P(X<33) = P( Z<1.5)

              = 1- P(Z>1.5)

             = 1 - ( 0.5 - A(1.5))

             = 0.5 + 0.4232

  P(X<33)  = 0.9232

<u>Step(iii) :-</u>

Given that the random variable  X = 26

               Z = \frac{x-mean}{S.D}

               Z = \frac{33-26}{2} = 3.5 >0

P(X>26)  = P( Z>3.5)

              = 0.5 - A(3.5)

              = 0.5 - 0.4990

             = 0.001

P(X>26) = 0.001

5 0
3 years ago
What is 1574/15 redused
r-ruslan [8.4K]

Answer:

104 14/15

Step-by-step explanation:

15 goes into 1574 104 times and you have 14 remaining so you have 104 with a remaining fraction of 14/15.

3 0
3 years ago
What is the distance between the points (7, −10) and (−8, −10)?
marin [14]

Answer:

15

Step-by-step explanation:

Using the distance formula

7 0
3 years ago
Read 2 more answers
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