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anyanavicka [17]
3 years ago
10

Given the point (-3, 6) and a line y=2x-8, write an equation of a line through the point and parallel to the line.

Mathematics
1 answer:
skad [1K]3 years ago
7 0

Answer:

The answer to your question is     y = 2x + 12

Step-by-step explanation:

Data

P (-3, 6)

line y = 2x - 8

Parallel lines have the same slope.

Slope of the line given = m = 2

Slope of the new line = m = 2

- Get the equation of the new line

          y - 6 = 2(x + 3)

          y - 6 = 2x + 6

          y = 2x + 6 + 6

          y = 2x + 12

     

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Solve this please .......​
nikdorinn [45]

Answer:

The sum of reciprocals is 2/3.

You don't need complex numbers to solve this, but if you try to find a and b you will need complex numbers.

Step-by-step explanation:

a+b = 2

a*b = 3

1/a + 1/b = x

(a*b)*(1/a + 1/b) = (a*b)x

b + a = (a*b)(x)

2 = 3x

x = 2/3

b = 2 - a

a*(2 - a) = 3

-a^2 + 2a = 3

-a^2 + 2a - 3 = 0

a^2 - 2a + 3 = 0

let's solve the quadratic equation

a^2 - 2a + 3 = a^2 - 2a + 1 + 2 = (a - 1)^2 + 2 = 0

(a - 1)^2 = -2

a_1 - 1 = \sqrt{2}i\\a_1 = 1+\sqrt{2}i\\\\a_2 - 1 = -\sqrt{2}i\\a_2 = 1 - \sqrt{2}i\\

these options correspond to a and b from the original question.

8 0
2 years ago
50% of what number is 32?
andriy [413]
So you know 50% means half right? So then do 32*2 and you get 64.
6 0
3 years ago
Read 2 more answers
What is the slope of the line?​
Eddi Din [679]

Answer:

-1

Step-by-step explanation:

Choose two point on that line such as (1,1) and (2,0)

Then use slope formula y-y/x-x

1-0/1-2 = 1/-1  =  -1

8 0
3 years ago
Read 2 more answers
8/2(2+2) PLEASE HELP ME!!!!!<br> Stop reporting this!!! I need help!!!
Eva8 [605]

Answer:

16

Step-by-step explanation:

you do 2+2 which is 4 then 8/2 is 4 and you multiple 4*4

5 0
3 years ago
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Complete the recursive formula of the geometric sequence -0.3, 0.9, -2.7, 8.1. ....
SSSSS [86.1K]

Answer:

(-1)ⁿ(3)ⁿ/10

Step-by-step explanation:

The first term a = 0.3, the second term, ar = 0.9. The common ratio r = ar/a = 0.9/-0.3 = -3.

From the general term of a geometric series,

U = arⁿ⁻¹

= (0.3)(-3)ⁿ⁻¹

= (3/10)(-3)ⁿ⁻¹

= (-1)ⁿ⁻¹(3)(3)ⁿ⁻¹/10

= (-1)ⁿ(3)ⁿ/10

5 0
3 years ago
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