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Nataly_w [17]
2 years ago
8

Write an equation of the line containing the given point and parallel to the given line.

Mathematics
1 answer:
Dafna11 [192]2 years ago
6 0

Answer:

y = 5/9x - 37/3

Step-by-step explanation:

5x - 9y = 8

-9y = -5x + 8

y = 5/9x - 8/9

  • When a line is parallel, the slope remains the same.

y = 5/9x + b

-9 = 5/9(6) + b

-9 = 10/3 + b

-37/3 = b

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What does it mean? I need help with this
kykrilka [37]
In order to do mean you have to add all of the numbers in the list together. then divide them by the total amount of numbers (ex. 7,9,3,2,5. you would add all of these up 7+9+3+2+5=26 then you would divide that by 5 because there are five numbers in the list.
8 0
3 years ago
What fraction is at the same location as 1/4
Maksim231197 [3]

Answer:

Fractions equivalent to 1/4 are 2/8, 3/12, 4/16, 5/20, 6/24, 7/28, 8/32, 9/36, 10/40.

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3 0
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

∵ The point in the rectangular coordinates is (√3 , π/6)

∴ r = √3 and Ф = π/6

- Lets find the x-coordinates

∵ 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

∵ r = √3

∵ Ф = π/6

∴ y = √3 sin π/6

∵ sin π/6 = 1/2

∴ y = √3 (1/2) = √3/2

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

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

6 0
3 years ago
Find the equation of the line passing through the point (6,3) that is perpendicular to the line 4x−5y=−10.
Paul [167]

Step-by-step explanation:

( y = 4x/5 + 2)

m1.m2 = -1

4/5.m2 = -1

m2 = -5/4

formula = y - y1 = m2 ( x - x1)

y - 3 = -5/4 ( x - 6)

y -3 = -5x /4 + 30/4

y = -5x /4 + 21/2

3 0
3 years ago
Can anybody help gosh
Mama L [17]
The answer to the first one is m<1 = 97°
m<2 = 88°
m<3= 45°
m<4 = 114°
m<5 = 97°
m<6 = 88°
m<7= 114°
m<8=45°
m<10=88°
m<11= 45°
m<13= 88°
m<14= 97°
m<15=97°
m<16= 88°
7 0
3 years ago
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