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nexus9112 [7]
3 years ago
6

What is the equation of the line parallel to 3x + 2y = -4 that goes through the point (4, -1)?

Mathematics
1 answer:
Basile [38]3 years ago
7 0

Answer:

y=-3/2x+5

Step-by-step explanation:

3x + 2y = -4

2y=-4-3x /:2

y=-4/2-3x/2

y=-3/2x-2

Slope=-3/2(=m) , because this line is parallel slope is the same, then

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

A(4,-1).... x1 =4, y1 =-1

y-(-1)=-3/2(x-4)

y+1=-3/2x+3/2*4

y+1=-3/2x+6

y=-3/2x+6-1

y=-3/2x+5

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Answer:

The arc is one-third of the circumference.

Step-by-step explanation:

The area of a circumference = 2πr

C = 2πr ... (1)

If an arc subtends a central angle measuring 2π/3 rad,

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Given θ = 2π/3

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L = 2πr/3... (2)

L = 1/3(2πr)

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The ratio of a to b is 3 to 1, and the ratio of b to c is 1 to 5. What is the value of 2a+3b/ 4b+3c?
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