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Bumek [7]
3 years ago
10

Determine if the lines are parallel, perpendicular, or neither 10x+5y=-5 and y=-2x+6

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
7 0
If they are parallel they will have the same slope , m

So in y = mx + c, if there are two equations which both have the same m value they will be parallel.
If the lines are perpendicular they'll have slopes like this: 1/2 to -2/1 - where they flip and a negative gets added.

In the equations: 10x + 5y = -5 , and y = -2x + 6
We can rearrange 10x + 5y = -5 to be in the form y = mx + c
10x + 5y = -5
5y = -5 - 10x
y = -1 - 2x
y = -2x - 1

Since y = -2x - 1 and y = -2x + 6 both have the same slope of -2 they are parallel!

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Enter the correct answer in the box. What is this expression in simplified form? <br> 3\sqrt{88}
Ugo [173]

Answer: 12\sqrt{5}

Step-by-step explanation:

3\sqrt{88}

88 can be rewritten as 8 x 10 and 8 can be rewritten as 2^2*2 making a 2 come out of the root.

3\sqrt{2^2*2*10}\\ 3*2\sqrt{2*10}\\6\sqrt{2*10}

10 can be rewritten as 2 x 5.

6\sqrt{2*2*5}

2*2 can also be rewritten as 2^2 making a 2 come out of the root.

6\sqrt{2^2*5}\\ 6*2\sqrt{5}\\ 12\sqrt{5}

We can't keep simplifying the root.

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What is 3/4-(-2/9) I need hekppp​
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Step-by-step explanation:

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Determine whether the statement is true or false. Justify your answers.
marusya05 [52]

Answer:

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the x-axis. ⇒ False

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the y-axis. ⇒ False

Step-by-step explanation:

<em>Let us explain the reflection about the axes</em>

  • If a graph is reflected about the x-axis, then the y-coordinates of all points on it will opposite in sign

Ex: if a point (2, -3) is on the graph of f(x), and f(x) is reflected about the x-axis, then the point will change to (2, 3)

  • That means reflection about the x-axis change the sign of y
  • y = f(x) → reflection about x-axis → y = -f(x)

  • If a graph is reflected about the y-axis, then the x-coordinates of all points on it will opposite in sign

Ex: if a point (-2, -5) is on the graph of f(x), and f(x) is reflected about the y-axis, then the point will change to (2, -5)

  • That means reflection about the y-axis change the sign of x
  • y = f(x) → reflection about y-axis → y = f(-x)

<em>Now let us answer our question</em>

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the x-axis.

It is False because reflection about x-axis change sign of y

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the x-axis

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the y-axis.

It is False because reflection about y-axis change sign of x

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the y-axis

7 0
3 years ago
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