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kobusy [5.1K]
3 years ago
10

Which of the equations below represents a line parallel to the y-axis? A. x = 4 B. x = -y C. x = y D. x = 4y

Mathematics
1 answer:
Eva8 [605]3 years ago
5 0

Answer:

x=4

Step-by-step explanation:

x=4 represents a line parallel to y-axis cutting the x-axis at (4,0).

x=-y represents a straight line passing through the origin with a negative slope.

x=y represents a straight line with positive slope and passing through the origin.

x=4y represents a straight line passing through origin having a positive slope.

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Find the distance between the two points.
Law Incorporation [45]

Answer:  89 will go in the box

This means the exact distance between the two given points is \sqrt{89} which approximates to roughly 9.4339811

===========================================================

Explanation:

To get that answer, we can apply the distance formula

(x1,y1) = (-1,-5) is the first point

(x2,y2) = (4,3) is the second point

Plug the coordinates into the distance formula

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-1-4)^2 + (-5-3)^2}\\\\d = \sqrt{(-5)^2 + (-8)^2}\\\\d = \sqrt{25 + 64}\\\\d = \sqrt{89}\\\\d \approx 9.4339811\\\\

--------------------------

Alternative Method:

You could also form a right triangle by adding the point (4, -5). The horizontal leg goes from (-1,-5) to (4,-5) which is a span of 5 units. The vertical leg goes from (4,-5) to (4,3) which is a span of 8 units. The hypotenuse is from (-1,-5) to (4,3) which is the distance we want to find.

After forming the triangle and determining the leg lengths, use the pythagorean theorem and you should get \sqrt{89} as the length of the hypotenuse. As you can probably guess, the distance formula is effectively a slight rephrasing the pythagorean theorem.

8 0
3 years ago
The result after adding a set of numbers or algebraic expressions is called a ___.
weqwewe [10]

the result is called a sum

3 0
3 years ago
Read 2 more answers
What is the multiplied expression for 4^4• 4^4 over 4^5 ?
dmitriy555 [2]
The correct answer is 4^3, or 64.
5 0
3 years ago
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Which answer shows the number that point B represents on the graph? A) 2 1 4 B) 2 1 3 C) 2 1 2 D) 2 3 4° > −11°
sesenic [268]

Answer:

The answer is c

Step-by-step explanation:

Bc I said so answer is always c

6 0
3 years ago
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For his phone service, Michael pays a monthly fee of $16, and he pays an additional $0.04 per minute if use. The least he has be
ikadub [295]

Answer: The least number of minutes that he has used his phone in a month is 1248

Step-by-step explanation:

Let m represent the number of minutes that he used his phone in a month.

For his phone service, Michael pays a monthly fee of $16, and he pays an additional $0.04 per minute if use. This means that if he used m minutes in a month, the total cost would be

16 + 0.04m

The least he has been charged in a month is $69.52. This means that

16 + 0.04m ≥ 65.92

0.04m ≥ 65.92 - 16

0.04m ≥ 49.92

m ≥ 49.92/0.04

m ≥ 1248 minutes

6 0
3 years ago
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