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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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3 years ago
The sum of 2 numbers is 45. The larger number is 17 more than the smaller number. What are the numbers
gayaneshka [121]

Answer:

the numbers are 31 and 14

Step-by-step explanation:

since the larger number is 17 more than the smaller number,

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3 0
3 years ago
Lee is staying at a hotel. The cost of the first night is $240. The cost for each night after that is $210. Let y represent the
sveticcg [70]

Answer:

The situation represents the arithmetic sequence

Step-by-step explanation:

∵ The cost of the first night is $240

∵ The cost of each night after the first is $210

∵ The number of nights is x

∵ The total cost of staying at the hotel x nights is y

∴ y = 240 + 210(x - 1)

Put x = 1 , 2 , 3, 4 and then check the type of the sequence

∴ y = 240 + 210(1 - 1) = 240

∴ y = 240 + 210(2 - 1) = 450

∴ y = 240 + 210(3 - 1) = 660

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∵ The difference between each two consecutive terms are constant

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∴ The sequence is arithmetic sequence

6 0
3 years ago
Read 2 more answers
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Maurinko [17]

Answer:

616 square centimeters

Step-by-step explanation:

Area of a circle is equal to pi × r^2. In this case, they have asked that you substitute 3.14 or 22/7 for pi, so I will be using 22/7, instead.

Diameter is equal to 2r; to find the radius, simply divide 28 by two. This gives us a radius of 14.

Multiply 14 squared by 22/7:

(22/7)(14^2)

This gives us (22/7)(196); (4312/7); 616.

Therefore, the area of the circle is approximately 616 square centimeters.

8 0
2 years ago
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