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Alja [10]
3 years ago
11

Write an equation in slope intercept form of the line containing the points (3,-1) and(6,7).​

Mathematics
1 answer:
liq [111]3 years ago
5 0

Answer:

m - 8/3

Step-by-step explanation:

Find the slope of the line between (-3,1) and (6,7) using m = (y2 - y1) / (x2-x1)

which is the change of "y" over the change of "x"

m = (7 - (-1) / 6 - (3)

m = 8/3

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3 years ago
Find the rectangular coordinates of the point (squareroot3, pi/6)
svet-max [94.6K]

Answer:

The rectangular coordinates of the point are (3/2 , √3/2)

Step-by-step explanation:

* Lets study how to change from polar form to rectangular coordinates

- To convert from polar form (r , Ф) to rectangular coordinates (x , y)

 use these rules

# x = r cos Ф

# y = r sin Ф

* Now lets solve the problem

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∴ r = √3 and Ф = π/6

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∵ x = r cos Ф

∵ r = √3

∵ Ф = π/6

∴ x = √3 cos π/6

∵ cos π/6 = √3/2

∴ x = √3 (√3/2) = 3/2

* The x-coordinate of the point is 3/2

- Lets find the y-coordinates

∵ y = r sin Ф

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∴ y = √3 sin π/6

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* The y-coordinate of the point is √3/2

∴ The rectangular coordinates of the point are (3/2 , √3/2)

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3 years ago
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3 years ago
Read 2 more answers
What’s #1?????? Plz help
liq [111]

Answer:

C) 400\pi

Step-by-step explanation:

The formula for area is

A=pi * radius ^2

If the diameter is 40, the radius is 20

Therefore

A=\pi 20^{2} \\A=\pi 400

7 0
2 years ago
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