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3 years ago

Write an equation of the line that passes through (-5, -2) and is parallel to y=2/3x+1 y=?

Mathematics

2 answers:

Nutka1998 [239]3 years ago

4 0

Answer:

Step-by-step explanation:

The point-slope form of the equation of line: y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.

y=m₁x+b₁ ║ y=m₂x+b₂ ⇔ m₁ = m₂

{Two lines are parallel if their slopes are equal}

y = 2/3x + 1 ⇒ m₁ = 2/3 ⇒ m₂ = 2/3

(-5, -2) ⇒ x₁ = -5, y₁ = -2

point-slope form:

y - (-2) = 2/3(x - (-5))

y + 2 = 2/3(x + 5)

y + 2 = 2/3x + 10/3 {subtact 2 from both sides}

y = 2/3x + 4/3 ← slope-intercept form

DanielleElmas [232]3 years ago

4 0

Answer:

y = ²/₃x + ⁴/₃

Step-by-step explanation:

The point-slope form of the equation of line: y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.

y=m₁x+b₁ ║ y=m₂x+b₂ ⇔ m₁ = m₂

{Two lines are parallel if their slopes are equal}

y = 2/3x + 1 ⇒ m₁ = 2/3 ⇒ m₂ = 2/3

(-5, -2) ⇒ x₁ = -5, y₁ = -2

point-slope form:

y - (-2) = 2/3(x - (-5))

y + 2 = 2/3(x + 5)

y + 2 = 2/3x + 10/3 {subtact 2 from both sides}

y = 2/3x + 4/3 ← slope-intercept form

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AveGali [126]

Answer:

100°

Step-by-step explanation:

A triangle is a polygon shape with three sides. Triangles are of different types such as obtuse, scalene, equilateral, isosceles etc.

In triangle ABC:

70° + 50° + ∠C = 180° (sum of angles in a triangle)

120 + ∠C = 180

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Since ∠C is bisected into ∠ACD and ∠BCD, hence:

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∠ACD = ∠BCD = 60 / 2

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3 years ago

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Sedbober [7]

Answer:

24/25

Step-by-step explanation:

Please see the attached image.

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Answer: 24/25

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2 years ago

A rectangular garden has a width that is 10 feet shorter than the length. Write and simplify an expression to represent the area

morpeh [17]

Answer:

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Step-by-step explanation:

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s2008m [1.1K]

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