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jenyasd209 [6]
3 years ago
12

Write an equation of the line that passes through the point (-4,-1) and is parallel and perpendicular to the line 2x+7y=14

Mathematics
1 answer:
Darina [25.2K]3 years ago
3 0

Answer: Parallel: y=-2/7x-2 1/7 Perpendicular: y=7/2x+13

Step-by-step explanation:

2x+7y=14

Subtract 2x from both sides.

7y=-2x+14

Divide both sides by 7 to isolate y.

y=-2/7x+2

Parallel:

Plug in x and y with same slope as the original.

-1=-2/7(-4)+b

Solve for b:

-1=8/7+b

-2 1/7=b

y=-2/7x-2 1/7

Perpendicular:

Plug in x and y with the negative inverse of the original slope.

-1=7/2(-4)+b

Solve for b.

-1=-28/2+b

-1=-14+b

13=b

y=7/2x+13

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Solve for x. 3x + 5 = 23​
Lunna [17]

[|] Answer [|]

\boxed{X \ = \ 6}

[|] Explanation [|]

3x + 5 = 23

_________

_________

Subtract 5 From Both Sides:

3x + 5 - 5 = 23 - 5

Simplify:

3x = 18

Divide Both Sides By 3:

\frac{3x}{3} \ = \ \frac{18}{3}

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Parenthesis

Exponents

Multiply

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8 0
3 years ago
Read 2 more answers
Factor completely
luda_lava [24]

Answer:

B)

B)

D)

Step-by-step explanation:

1. 7x^3y+14x^2y^3-7x^2y^2

The GCF of all the term of the above polynomial is 7x^2y , hence we take it outside and form a bracket

7x^2y(x+2y^2-y)

The polynomial within the bracket can not be factorized further hence this is our final answer. Option (B) is the right answer

2. 5x(x+3)+6(x+3)

The GCF of all the term of the above polynomial is (x+3) , hence we take it outside and form a bracket

(x+3)(5x+6)

The polynomial within the bracket can not be factorized further hence this is our final answer. Option (B) is the right answer

3. 8x^5+2x^4+4x^2

The GCF of all the term of the above polynomial is 2x^2 , hence we take it outside and form a bracket

2x^2(4x^3+x^2+2)

The polynomial within the bracket can not be factorized further hence this is our final answer. Option (D) is the right answer

4 0
3 years ago
The mass of a tin containing 5000cm³ paint is 7 kg. if the mass of the empty tin, including the lid is 0.5 kg, calculate the den
wlad13 [49]

Answer:

Answer is 1.5g/m^3 Hope it will help you.

7 0
3 years ago
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