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3 years ago

If x=7, determine which lines must be parallel?

Mathematics

1 answer:

vlada-n [284]3 years ago

4 0

Answer: All the lines which are parallel to Y-axis including Y-axis must be parallel to the line x=7.

Explanation:

We can understand it by drawing the line x=7 on the graph.

In the graph, it has shown that x=7 is parallel to Y-axis.

And if we talk about a set of lines x=n, where n is a real number then these lines are parallel to y-axis.

since, we know that if one line is parallel to another line and that line is also parallel to a third line then these three lines must be parallel.

so we can say that, All lines which are parallel to y-axis as well as y-axis are parallel to x=7.

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Evgen [1.6K]

Answer: Table H would be the correct answer;

The rule of a function is that for each x-value given there can't be more than 1 y-value

In Table F:

x = -13, then y = -2

x = -13, then y = 0

x = -13, then y = 5

x = -13, then y = 7

For the x-value -13, there are 4 different y-values, so it's not a function.

In Table G:

x = -6, then y = 3

x = -1, then y = -1

x = -1, then y = 5

x = 10, then y = -9

For the x-value -1, there are 2 different y-values, hence this isn't a function.

In Table H:

x = 1, then y = 4

x = 3, then y = 4

x = 7, then y = 4

x = 12, then y = 4

For each x-value, there is only 1 y-value, so this is a function.

In table J:

x = -9, then y = -7

x = -2, then y = -5

x = 0, then y = 0

x = 0, then y = 6

For the x-value 0, there are 2 different y-value therefore this isn't a function

Hope this helps!

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3 years ago

The longest side of a triangle is 5 in longer than the shortest side. The medium side is 4 in longer than the shortest side. If

aliina [53]

Answer: Shortest side = 6 inches, Medium side = 10 inches and Longest side = 11 inches

Step-by-step explanation: The perimeter has been given as 27 inches, and we know that the perimeter of any given figure is the addition of all sides. The sides are unknown yet, but we have clues as follows;

The longest side is 5 inches longer than the shortest side, hence the longest side equals s + 5. The medium side is 4 inches longer than the shortest side, hence the medium side equals s+ 4. Th shortest side remains s.

Therefore with the perimeter given as 27, we now have the expression;

s + s + 4 + s + 5 = 27

3s + 9 = 27

Subtract 9 from both sides of the equation

3s = 18

Divide both sides of the equation by 3

s = 6

Hence, the sides of the triangle are given as 6, (6+ 4) and (6+ 5), which is,

6 inches, 10 inches and 11 inches.

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scoray [572]

Answer:

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Step-by-step explanation:

domain: all real numbers

range: all real numbers

X/Y Intercept: (0,0)

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